Article,
An Algorithmic Approach to Quantum Field Theory
International Journal of Modern Physics A, 21 (03): 405--447 (Sep 12, 2005)
DOI: 10.1142/s0217751x06028965
Abstract
The lattice formulation provides a way to regularize, define and compute the
Path Integral in a Quantum Field Theory. In this paper we review the
theoretical foundations and the most basic algorithms required to implement a
typical lattice computation, including the Metropolis, the Gibbs sampling, the
Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis
is on gauge theories with fermions such as QCD. We also provide examples of
typical results from lattice QCD computations for quantities of
phenomenological interest.
