Feynman Rules for the QCD Lagrangian

{
  description: 'Gluon propagator for QCD',
  width: 490,
  height: 70,
  incoming: {i1: '45,40'},
  outgoing: {o1: '165,40'},
  gluon: {line: 'i1-o1'},
  label: {t1: ['10,25', '$b,\\nu$', 30], t2: ['165,25', '$a,\\mu$', 40],
    t3: ['100,40', '$p$', 10], t4: ['225,10', '$=\\dfrac{-i\\delta^{ab}}{p^2-i\\epsilon}\\left(\\eta^{\\mu\\nu}-(1-\\xi)\\dfrac{p^{\\mu}p^{\\nu}}{p^2}\\right)$', 260, 70]},
  mathjax: true
}
Fig.1 Gluon propagator for QCD (EPS, PDF)
{
  description: 'Fermion propagator for QCD',
  width: 400,
  height: 70,
  incoming: {i1: '45,35'},
  outgoing: {o1: '165,35'},
  fermion: {line: 'i1-o1'},
  label: {t1: ['10,25', '$j,\\beta$', 30], t2: ['170,25', '$i,\\alpha$', 30],
    t3: ['100,40', '$p$', 10], t4: ['225,10', '$=\\dfrac{-i\\delta_{ij}(m-\\gamma\\cdot p)_{\\alpha\\beta}}{p^2+m^2-i\\epsilon}$', 170, 70]},
  mathjax: true
}
Fig.2 Fermion propagator for QCD (EPS, PDF)
{
  description: 'Ghost propagator for QCD',
  width: 280,
  height: 70,
  incoming: {i1: '25,35'},
  outgoing: {o1: '145,35'},
  ghost: {line: 'i1-o1'},
  label: {t1: ['5,25', '$b$'], t2: ['145,25', '$a$'],
    t3: ['80,40', '$p$', 10], t4: ['185,10', '$=\\dfrac{-i\\delta^{ab}}{p^2-i\\epsilon}$', 80, 70]},
  mathjax: true
}
Fig.3 Ghost propagator for QCD (EPS, PDF)
{
  description: 'Quark-gluon vertex for QCD',
  width: 360,
  height: 160,
  incoming: {i1: '45,130', i2: '105,30'},
  outgoing: {o1: '165,130'},
  vertex: {v1: '105,90'},
  fermion: {line: 'i1-v1-o1'},
  gluon: {line: 'v1-i2'},
  node: {show: 'v', type: 'dot', fill: 'black', radius: 2},
  label: {t1: ['10,130', '$j,\\beta$', 30], t2: ['170,130', '$i,\\alpha$', 30],
    t3: ['90,5', '$a,\\mu$', 30], t4: ['225,70', '$=ig(\\gamma^{\\mu})_{\\alpha\\beta}(t^a)_{ij}$', 130]},
  mathjax: true
}
Fig.4 Quark-gluon vertex for QCD (EPS, PDF)
{
  description: 'Ghost-gluon vertex for QCD',
  width: 280,
  height: 160,
  incoming: {i1: '25,130', i2: '85,30'},
  outgoing: {o1: '145,130'},
  vertex: {v1: '85,90'},
  ghost: {line: 'i1-v1-o1'},
  gluon: {line: 'v1-i2'},
  node: {show: 'v', type: 'dot', fill: 'black', radius: 2},
  label: {t1: ['5,130', '$b$'], t2: ['145,130', '$a$'],
    t3: ['70,5', '$c,\\mu$', 30], t4: ['100,110', '$p$'],
    t5: ['185,70', '$=gf^{abc}p^{\\mu}$', 80]},
  mathjax: true
}
Fig.5 Ghost-gluon vertex for QCD (EPS, PDF)
{
  description: 'Three-gluon vertex for QCD',
  width: 620,
  height: 140,
  incoming: {i1: '40,120', i2: '155,120', i3: '100,30'},
  vertex: {v1: '100,90'},
  gluon: {line: 'v1-i1,v1-i2,v1-i3'},
  node: {show: 'v', type: 'dot', fill: 'black', radius: 2},
  label: {t1: ['10,110', '$b,\\nu$', 30], t2: ['160,110', '$c,\\rho$', 30],
    t3: ['85,5', '$a,\\mu$', 30], t4: ['100,50', '$k$'],
    t5: ['55,85', '$p$'], t6: ['115,105', '$q$'],
    t7: ['210,60', '$=-gf^{abc}\\big[\\eta^{\\mu\\nu}(k-p)^{\\rho}+\\eta^{\\nu\\rho}(p-q)^{\\mu}+\\eta^{\\rho\\mu}(q-k)^{\\nu}\\big]$', 410]},
  mathjax: true
}
Fig.6 Three-gluon vertex for QCD (EPS, PDF)
{
  description: 'Four-gluon vertex for QCD',
  width: 480,
  height: 140,
  incoming: {i1: '40,120', i2: '140,120', i3: '40,20', i4: '140,20'},
  vertex: {v1: '90,70'},
  gluon: {line: 'v1-i1,v1-i2,v1-i3,v1-i4'},
  node: {show: 'v', type: 'dot', fill: 'black', radius: 2},
  label: {t1: ['10,110', '$c,\\rho$', 30], t2: ['140,110', '$d,\\sigma$', 30],
    t3: ['15,10', '$b,\\nu$', 30], t4: ['140,10', '$a,\\mu$', 30],
    t5: ['190,15', '$=-ig^2\\big[\\!f^{abe}f^{cde}(\\eta^{\\mu\\rho}\\eta^{\\nu\\sigma}-\\eta^{\\mu\\sigma}\\eta^{\\nu\\rho})\\\\\\qquad+f^{ace}f^{bde}(\\eta^{\\mu\\nu}\\eta^{\\rho\\sigma}-\\eta^{\\mu\\sigma}\\eta^{\\nu\\rho})\\\\\\qquad+f^{ade}f^{bce}(\\eta^{\\mu\\nu}\\eta^{\\rho\\sigma}-\\eta^{\\mu\\rho}\\eta^{\\nu\\sigma})\\big]$', 290, 100]},
  mathjax: true
}
Fig.7 Four-gluon vertex for QCD (EPS, PDF)