An Algorithmic Approach to Quantum Field Theory

Details An Algorithmic Approach to Quantum Field Theory An Algorithmic Approach to Quantum Field Theory

2005-09-06

arxiv.org/abs/hep-lat/0509013v2

Int.J.Mod.Phys.A21:405-448,2006

Physics

High Energy Physics

High Energy Physics - Lattice

44 pages, to be published in IJMPA

Scientific paper

10.1142/S0217751X06028965

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.

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