Lattice perturbation theory by computer algebra: A three-loop result for the topological susceptibility

1993/01/31 by B. Allés, B. Alles, Massimo Campostrini +4 · 3 citations
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1016/0550-3213(94)90632-7

published as Nucl.Phys. B413 (1994) 553-566 · 15 pages + 2 figures (PostScript), report no. IFUP-TH 31/92

openalex publication_date 1994/01/01 · arxiv created 2005/08/16 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a scheme for the analytic computation of renormalization functions on the lattice, using a symbolic manipulation computer language. Our first nontrivial application is a new three-loop result for the topological susceptibility.

Cited by

• The random lattice as a regularization scheme
• Additive and multiplicative renormalization of topological charge with improved gluon and fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
• Automated generation of lattice QCD Feynman rules