2023-12-07 02:54:15 +01:00
{
"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 σ
"\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 σ
"\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 σ
"\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 σ
"\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"
]
}
],
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