English

Two-Loop Fermionic Integrals in Perturbation Theory on a Lattice

High Energy Physics - Lattice 2011-01-03 v1 Computational Physics

Abstract

A comprehensive number of one-loop integrals in a theory with Wilson fermions at r=1r=1 is computed using the Burgio-Caracciolo-Pelissetto algorithm. With the use of these results, the fermionic propagator in the coordinate representation is evaluated, thus making it possible to extend the Luscher-Weisz procedure for two-loop integrals to the fermionic case. Computations are performed with FORM and REDUCE packages.

Keywords

Cite

@article{arxiv.1006.4142,
  title  = {Two-Loop Fermionic Integrals in Perturbation Theory on a Lattice},
  author = {R. N. Rogalyov},
  journal= {arXiv preprint arXiv:1006.4142},
  year   = {2011}
}

Comments

7 pages; a contribution to the Workshop ACAT-2010, Jaipur, India, Feb.22-27, 2010

R2 v1 2026-06-21T15:39:06.856Z