rubydragon/metagraphoptimization.jl
1
0
Fork 0
Code Issues 6 Pull Requests Actions Packages Projects Releases Wiki Activity
metagraphoptimization.jl/notebooks/diagram_gen.ipynb
Anton Reinhard c90346e948 Add QED Model (#25) 
Reviewed-on: Rubydragon/MetagraphOptimization.jl#25
Co-authored-by: Anton Reinhard <anton.reinhard@proton.me>
Co-committed-by: Anton Reinhard <anton.reinhard@proton.me>
2023-12-07 02:54:15 +01:00

452 lines
23 KiB
Plaintext
Raw Permalink Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

{
"cells": [
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"using Revise; using QEDbase; using QEDprocesses; using MetagraphOptimization; using BenchmarkTools; using DataStructures\n",
"import MetagraphOptimization.gen_diagrams"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diagram 1: Initial Particles: [k_i_1, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_i_1 -> e_i_2, k_o_1 + e_o_1 -> e_o_2]\n",
" Tie: e_i_2 -- e_o_2\n",
"\n",
"Diagram 2: Initial Particles: [k_i_1, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_1 -> e_o_2, e_i_1 + k_o_1 -> e_i_2]\n",
" Tie: e_o_2 -- e_i_2\n",
"\n"
]
}
],
"source": [
"# Compton Scattering\n",
"fd = FeynmanDiagram(parse_process(\"ke->ke\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: 6044 samples with 1 evaluation.\n",
" Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m): \u001b[39m\u001b[36m\u001b[1m490.857 μs\u001b[22m\u001b[39m … \u001b[35m 3.657 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 77.38%\n",
" Time \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m): \u001b[39m\u001b[34m\u001b[1m800.314 μs \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m): \u001b[39m0.00%\n",
" Time \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m): \u001b[39m\u001b[32m\u001b[1m825.263 μs\u001b[22m\u001b[39m ± \u001b[32m208.306 μs\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m): \u001b[39m1.62% ± 5.53%\n",
"\n",
" \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m█\u001b[39m▂\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m▂\u001b[39m▃\u001b[39m▃\u001b[39m▂\u001b[39m▃\u001b[39m▃\u001b[39m▄\u001b[39m▅\u001b[34m▅\u001b[39m\u001b[39m▅\u001b[39m▃\u001b[32m▂\u001b[39m\u001b[39m▁\u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m▆\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
" \u001b[39m▂\u001b[39m▂\u001b[39m▁\u001b[39m▂\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▂\u001b[39m▂\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[34m█\u001b[39m\u001b[39m█\u001b[39m█\u001b[32m█\u001b[39m\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▆\u001b[39m▆\u001b[39m▅\u001b[39m▅\u001b[39m▄\u001b[39m▄\u001b[39m▄\u001b[39m▅\u001b[39m▇\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▅\u001b[39m▄\u001b[39m▃\u001b[39m \u001b[39m▅\n",
" 491 μs\u001b[90m Histogram: frequency by time\u001b[39m 1.04 ms \u001b[0m\u001b[1m<\u001b[22m\n",
"\n",
" Memory estimate\u001b[90m: \u001b[39m\u001b[33m280.03 KiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m2709\u001b[39m."
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Found 6 Diagrams for 2-Photon Compton\n",
"Diagram 1: Initial Particles: [k_i_1, k_i_2, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_i_1 -> e_i_2, k_i_2 + e_o_1 -> e_o_2]\n",
" Virtuality Level 2 Vertices: [k_o_1 + e_i_2 -> e_i_3]\n",
" Tie: e_o_2 -- e_i_3\n",
"\n"
]
}
],
"source": [
"# 2-Photon Compton Scattering\n",
"two_k_compton = FeynmanDiagram(parse_process(\"kke->ke\", QEDModel()))\n",
"\n",
"display(@benchmark gen_diagrams(two_k_compton))\n",
"diagrams = gen_diagrams(two_k_compton)\n",
"\n",
"println(\"Found $(length(diagrams)) Diagrams for 2-Photon Compton\")\n",
"println(\"Diagram 1: $(first(diagrams))\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: 1167 samples with 1 evaluation.\n",
" Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m): \u001b[39m\u001b[36m\u001b[1m2.581 ms\u001b[22m\u001b[39m … \u001b[35m 7.394 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 38.39%\n",
" Time \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m): \u001b[39m\u001b[34m\u001b[1m4.278 ms \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m): \u001b[39m0.00%\n",
" Time \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m): \u001b[39m\u001b[32m\u001b[1m4.284 ms\u001b[22m\u001b[39m ± \u001b[32m550.104 μs\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m): \u001b[39m1.84% ± 6.28%\n",
"\n",
" \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m▃\u001b[39m▅\u001b[39m▅\u001b[34m▃\u001b[39m\u001b[39m▃\u001b[39m▇\u001b[39m█\u001b[39m▄\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
" \u001b[39m▂\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▂\u001b[39m▂\u001b[39m▁\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▄\u001b[39m█\u001b[39m▄\u001b[39m▄\u001b[39m▄\u001b[39m▃\u001b[39m▃\u001b[39m▄\u001b[39m▆\u001b[39m▇\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[34m█\u001b[39m\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▆\u001b[39m▄\u001b[39m▃\u001b[39m▃\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▂\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▂\u001b[39m▃\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m▂\u001b[39m \u001b[39m▃\n",
" 2.58 ms\u001b[90m Histogram: frequency by time\u001b[39m 6.46 ms \u001b[0m\u001b[1m<\u001b[22m\n",
"\n",
" Memory estimate\u001b[90m: \u001b[39m\u001b[33m1.71 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m15410\u001b[39m."
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Found 24 Diagrams for 3-Photon Compton\n",
"Diagram 1: Initial Particles: [k_i_1, k_i_2, k_i_3, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_2 + e_o_1 -> e_o_2, k_i_3 + e_i_1 -> e_i_2]\n",
" Virtuality Level 2 Vertices: [k_i_1 + e_o_2 -> e_o_3, k_o_1 + e_i_2 -> e_i_3]\n",
" Tie: e_o_3 -- e_i_3\n",
"\n"
]
}
],
"source": [
"# 3-Photon Compton Scattering\n",
"three_k_compton = FeynmanDiagram(parse_process(\"kkke->ke\", QEDModel()))\n",
"\n",
"display(@benchmark gen_diagrams(three_k_compton))\n",
"diagrams = gen_diagrams(three_k_compton)\n",
"\n",
"println(\"Found $(length(diagrams)) Diagrams for 3-Photon Compton\")\n",
"println(\"Diagram 1: $(first(diagrams))\")"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: 141 samples with 1 evaluation.\n",
" Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m): \u001b[39m\u001b[36m\u001b[1m31.255 ms\u001b[22m\u001b[39m … \u001b[35m42.658 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 4.92%\n",
" Time \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m): \u001b[39m\u001b[34m\u001b[1m35.749 ms \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m): \u001b[39m4.34%\n",
" Time \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m): \u001b[39m\u001b[32m\u001b[1m35.690 ms\u001b[22m\u001b[39m ± \u001b[32m 2.009 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m): \u001b[39m3.04% ± 2.83%\n",
"\n",
" \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▆\u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m▃\u001b[39m▁\u001b[39m▃\u001b[39m▁\u001b[39m \u001b[39m█\u001b[34m▆\u001b[39m\u001b[39m▁\u001b[39m▁\u001b[39m▆\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m \u001b[39m▁\u001b[39m \u001b[39m▃\u001b[39m▆\u001b[39m▁\u001b[39m▆\u001b[39m█\u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
" \u001b[39m▇\u001b[39m▄\u001b[39m▄\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▄\u001b[39m▇\u001b[39m▇\u001b[39m▄\u001b[39m▄\u001b[39m▄\u001b[39m▇\u001b[39m▄\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▄\u001b[39m▇\u001b[39m▇\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▁\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m█\u001b[34m█\u001b[39m\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m▇\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▇\u001b[39m▁\u001b[39m█\u001b[39m▄\u001b[39m▁\u001b[39m▄\u001b[39m▇\u001b[39m█\u001b[39m▇\u001b[39m▄\u001b[39m \u001b[39m▄\n",
" 31.3 ms\u001b[90m Histogram: frequency by time\u001b[39m 39.2 ms \u001b[0m\u001b[1m<\u001b[22m\n",
"\n",
" Memory estimate\u001b[90m: \u001b[39m\u001b[33m23.29 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m171048\u001b[39m."
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Found 120 Diagrams for 4-Photon Compton\n",
"Diagram 1: Initial Particles: [k_i_1, k_i_2, k_i_3, k_i_4, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_1 -> e_o_2, e_i_1 + k_o_1 -> e_i_2]\n",
" Virtuality Level 2 Vertices: [k_i_3 + e_o_2 -> e_o_3, k_i_2 + e_i_2 -> e_i_3]\n",
" Virtuality Level 3 Vertices: [k_i_4 + e_o_3 -> e_o_4]\n",
" Tie: e_i_3 -- e_o_4\n",
"\n"
]
}
],
"source": [
"# 4-Photon Compton Scattering\n",
"four_k_compton = FeynmanDiagram(parse_process(\"kkkke->ke\", QEDModel()))\n",
"\n",
"display(@benchmark gen_diagrams(four_k_compton))\n",
"diagrams = gen_diagrams(four_k_compton)\n",
"\n",
"println(\"Found $(length(diagrams)) Diagrams for 4-Photon Compton\")\n",
"println(\"Diagram 1: $(first(diagrams))\")"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BenchmarkTools.Trial: 10 samples with 1 evaluation.\n",
" Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m): \u001b[39m\u001b[36m\u001b[1m471.789 ms\u001b[22m\u001b[39m … \u001b[35m527.196 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m6.00% … 7.35%\n",
" Time \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m): \u001b[39m\u001b[34m\u001b[1m499.068 ms \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m): \u001b[39m6.98%\n",
" Time \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m): \u001b[39m\u001b[32m\u001b[1m502.132 ms\u001b[22m\u001b[39m ± \u001b[32m 17.383 ms\u001b[39m \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m): \u001b[39m6.79% ± 0.77%\n",
"\n",
" \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m█\u001b[39m▁\u001b[39m \u001b[34m▁\u001b[39m\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[32m \u001b[39m\u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▁\u001b[39m▁\u001b[39m \u001b[39m \n",
" \u001b[39m█\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m█\u001b[39m▁\u001b[34m█\u001b[39m\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[32m▁\u001b[39m\u001b[39m▁\u001b[39m█\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m█\u001b[39m \u001b[39m▁\n",
" 472 ms\u001b[90m Histogram: frequency by time\u001b[39m 527 ms \u001b[0m\u001b[1m<\u001b[22m\n",
"\n",
" Memory estimate\u001b[90m: \u001b[39m\u001b[33m627.12 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m3747679\u001b[39m."
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Found 720 Diagrams for 5-Photon Compton\n",
"Diagram 1: Initial Particles: [k_i_1, k_i_2, k_i_3, k_i_4, k_i_5, e_i_1, k_o_1, e_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_i_1 -> e_i_2, k_i_4 + e_o_1 -> e_o_2]\n",
" Virtuality Level 2 Vertices: [k_i_3 + e_i_2 -> e_i_3, k_i_5 + e_o_2 -> e_o_3]\n",
" Virtuality Level 3 Vertices: [k_i_2 + e_i_3 -> e_i_4, k_o_1 + e_o_3 -> e_o_4]\n",
" Tie: e_i_4 -- e_o_4\n",
"\n"
]
}
],
"source": [
"# 5-Photon Compton Scattering\n",
"five_k_compton = FeynmanDiagram(parse_process(\"kkkkke->ke\", QEDModel()))\n",
"\n",
"display(@benchmark gen_diagrams(five_k_compton))\n",
"diagrams = gen_diagrams(five_k_compton)\n",
"\n",
"println(\"Found $(length(diagrams)) Diagrams for 5-Photon Compton\")\n",
"println(\"Diagram 1: $(first(diagrams))\")"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diagram 1: Initial Particles: [p_i_1, e_i_1, e_o_1, p_o_1]\n",
" Virtuality Level 1 Vertices: [p_i_1 + e_i_1 -> k_o_2, e_o_1 + p_o_1 -> k_o_1]\n",
" Tie: k_o_2 -- k_o_1\n",
"\n",
"Diagram 2: Initial Particles: [p_i_1, e_i_1, e_o_1, p_o_1]\n",
" Virtuality Level 1 Vertices: [p_i_1 + p_o_1 -> k_o_1, e_i_1 + e_o_1 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n"
]
}
],
"source": [
"# Bhabha Scattering\n",
"fd = FeynmanDiagram(parse_process(\"ep->ep\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diagram 1: Initial Particles: [e_i_1, e_i_2, e_o_1, e_o_2]\n",
" Virtuality Level 1 Vertices: [e_i_2 + e_o_2 -> k_o_2, e_i_1 + e_o_1 -> k_o_1]\n",
" Tie: k_o_2 -- k_o_1\n",
"\n",
"Diagram 2: Initial Particles: [e_i_1, e_i_2, e_o_1, e_o_2]\n",
" Virtuality Level 1 Vertices: [e_i_1 + e_o_2 -> k_o_1, e_i_2 + e_o_1 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n"
]
}
],
"source": [
"# Moller Scattering\n",
"fd = FeynmanDiagram(parse_process(\"ee->ee\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diagram 1: Initial Particles: [p_i_1, e_i_1, k_o_1, k_o_2]\n",
" Virtuality Level 1 Vertices: [e_i_1 + k_o_2 -> e_i_2, p_i_1 + k_o_1 -> e_o_1]\n",
" Tie: e_i_2 -- e_o_1\n",
"\n",
"Diagram 2: Initial Particles: [p_i_1, e_i_1, k_o_1, k_o_2]\n",
" Virtuality Level 1 Vertices: [e_i_1 + k_o_1 -> e_i_2, p_i_1 + k_o_2 -> e_o_1]\n",
" Tie: e_i_2 -- e_o_1\n",
"\n"
]
}
],
"source": [
"# Pair annihilation\n",
"fd = FeynmanDiagram(parse_process(\"ep->kk\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Diagram 1: Initial Particles: [k_i_1, k_i_2, e_o_1, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + p_o_1 -> e_i_1, k_i_2 + e_o_1 -> e_o_2]\n",
" Tie: e_i_1 -- e_o_2\n",
"\n",
"Diagram 2: Initial Particles: [k_i_1, k_i_2, e_o_1, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_1 -> e_o_2, k_i_2 + p_o_1 -> e_i_1]\n",
" Tie: e_o_2 -- e_i_1\n",
"\n"
]
}
],
"source": [
"# Pair production\n",
"fd = FeynmanDiagram(parse_process(\"kk->pe\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Found 8 diagrams:\n",
"Diagram 1: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_1 -> e_o_3, e_i_1 + e_o_2 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [p_o_1 + k_o_1 -> e_i_2]\n",
" Tie: e_o_3 -- e_i_2\n",
"\n",
"Diagram 2: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + p_o_1 -> e_i_2, e_i_1 + e_o_2 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_o_1 + e_i_2 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n",
"Diagram 3: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_2 -> e_o_3, e_i_1 + e_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [p_o_1 + e_o_3 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n",
"Diagram 4: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_i_1 -> e_i_2, e_o_2 + p_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_o_1 + e_i_2 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n",
"Diagram 5: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_1 -> e_o_3, e_o_2 + p_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_i_1 + k_o_1 -> e_i_2]\n",
" Tie: e_o_3 -- e_i_2\n",
"\n",
"Diagram 6: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_o_2 -> e_o_3, e_o_1 + p_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_i_1 + e_o_3 -> k_o_2]\n",
" Tie: k_o_1 -- k_o_2\n",
"\n",
"Diagram 7: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + p_o_1 -> e_i_2, e_i_1 + e_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_o_2 + k_o_1 -> e_o_3]\n",
" Tie: e_i_2 -- e_o_3\n",
"\n",
"Diagram 8: Initial Particles: [k_i_1, e_i_1, e_o_1, e_o_2, p_o_1]\n",
" Virtuality Level 1 Vertices: [k_i_1 + e_i_1 -> e_i_2, e_o_1 + p_o_1 -> k_o_1]\n",
" Virtuality Level 2 Vertices: [e_o_2 + k_o_1 -> e_o_3]\n",
" Tie: e_i_2 -- e_o_3\n",
"\n"
]
}
],
"source": [
"# Trident\n",
"fd = FeynmanDiagram(parse_process(\"ke->epe\", QEDModel()))\n",
"\n",
"diagrams = gen_diagrams(fd)\n",
"\n",
"println(\"Found $(length(diagrams)) diagrams:\")\n",
"c = 1\n",
"for d in diagrams\n",
" println(\"Diagram $c: $d\")\n",
" c += 1\n",
"end"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.9.4",
"language": "julia",
"name": "julia-1.9"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.9.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Reference in New Issue View Git Blame Copy Permalink