Gauge Theories on a 2+2 Anisotropic Lattice

Abstract

The implementation of gauge theories on a four-dimensional anisotropic lattice with two distinct lattice spacings is discussed, with special attention to the case where two axes are finely and two axes are coarsely discretized. Feynman rules for the Wilson gauge action are derived and the renormalizability of the theory and the recovery of the continuum limit are analyzed. The calculation of the gluon propagator and the restoration of Lorentz invariance in on-shell states is presented to one-loop order in lattice perturbation theory for $SU(N_c)$ on both 2+2 and 3+1 lattices.

27 pages, uses feynmf. Font compatibility adjusted

References in corpus (10)

• The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD
• Heavy quark physics from lattice QCD
• Differential decay rate of $B\to \pi l\nu$ semileptonic decay with lattice NRQCD
• O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents
• Relativistic Bottomonium Spectrum from Anisotropic Lattices
• Two-loop critical mass for Wilson fermions
• One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice
• Semileptonic B Decays from an NRQCD/D234 Action
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
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Cited by in corpus (13)

• Coulomb gauge gluon propagator and the Gribov formula
• BRST symmetry vs. Horizon condition in Yang-Mills theories
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Coulomb vs. physical string tension on the lattice
• Ghost propagator and the Coulomb form factor from the lattice
• A nonperturbative foundation of the Euclidean-Minkowskian duality of Wilson-loop correlation functions
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Chern insulator transitions with Wilson fermions on a hyperrectangular lattice
• Non perturbative study of QCD on a 2+2 anisotropic lattice
• Topological order and the vacuum of Yang-Mills theories
• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
• The effect of sea quarks on the mass of the charm quark from Lattice QCD
• Lattice Coulomb propagators, effective energy and confinement