Automatically generating Feynman rules for improved lattice field theories

Abstract

Deriving the Feynman rules for lattice perturbation theory from actions and operators is complicated, especially when improvement terms are present. This physically important task is, however, suitable for automation. We describe a flexible algorithm for generating Feynman rules for a wide range of lattice field theories including gluons, relativistic fermions and heavy quarks. We also present an efficient implementation of this in a freely available, multi-platform programming language (\python), optimised to deal with a wide class of lattice field theories.

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Cited by in corpus (20)

• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Nucleon isovector charges and twist-2 matrix elements with $N_f=2+1$ dynamical Wilson quarks
• Challenges in Semileptonic B Decays
• Radiative corrections to the lattice gluon action for highly improved staggered quarks (HISQ) and the effect of such corrections on the static potential
• Automated generation of lattice QCD Feynman rules
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Unquenching effects on the coefficients of the Lüscher-Weisz action
• Moving NRQCD for heavy-to-light form factors on the lattice
• Hindered M1 Radiative Decay of ${\rm Y}(2S)$ from Lattice NRQCD
• Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)
• Static Energy in ($2+1+1$)-Flavor Lattice QCD: Scale Setting and Charm Effects
• Four Fermion Operator Matching with NRQCD Heavy and AsqTad Light Quarks
• Matching lattice and continuum four-fermion operators with nonrelativistic QCD and highly improved staggered quarks
• Calculation of the One W Loop $H\to \gamma \gamma$ Decay Amplitude with a Lattice Regulator
• TaylUR, an arbitrary-order diagonal automatic differentiation package for Fortran 95
• Automatic generation of Feynman rules in the Schroedinger functional
• Renormalization of heavy-light currents in moving NRQCD
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics
• An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory