Feynman rules for scalar conformal blocks

Conformal Blocks, Fusion Rules and the Verlinde Formula

Feynman Rules for Simplicial Gravity

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a useful guide for non-perturbative studies of gravity. The Feynman rules for Regge's simplicial lattice formulation of gravity are then discussed in detail in tw...

QCD Feynman Rules

where i denotes the color of a quark and f its flavor. DμΨ i = ∂μΨ i + igAμ(t )jΨ j where t are matrices representing the gauge group generators in the quark representation; in QCD the quarks belong to the fundamental 3 representation of the SU(3)C so t a is 1 2 ×Gell-Mann matrix λ. The Quantum ChromoDynamics is more complicated, even at the Lagrangian level: including the gauge-fixing and the ...

Algebro-geometric Feynman Rules

We give a general procedure to construct algebro-geometric Feynman rules, that is, characters of the Connes–Kreimer Hopf algebra of Feynman graphs that factor through a Grothendieck ring of immersed conical varieties, via the class of the complement of the affine graph hypersurface. In particular, this maps to the usual Grothendieck ring of varieties, defining motivic Feynman rules. We also con...

Feynman rules in radial gauge

We present a complete set of Feynman rules for non-Abelian gauge fields obeying the radial (Fock-Schwinger) gauge condition and prove the consistency with covariant gauge Feynman rules. 11.15Bt,12.38Bx Typeset using REVTEX