Two-Loop Fermionic Integrals in Perturbation Theory on a Lattice

Details Two-Loop Fermionic Integrals in Perturbation Theory on a Lattice Two-Loop Fermionic Integrals in Perturbation Theory on a Lattice

2010-06-21

arxiv.org/abs/1006.4142v1

PoS ACAT2010:084,2010

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

A comprehensive number of one-loop integrals in a theory with Wilson fermions at $r=1$ 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.

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