Burgio, G., Feo, A., Peardon, M., Ryan, S. M. ‘Gauge theories on a 2+2 anisotropic lattice’ in Physical Review D, 67, 2003, p114502-1 – 114502-13
Physical Review D 67
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(Nc)
on both 212 and 311 lattices.
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