An Algorithmic Approach to Quantum Field Theory
arXiv:hep-lat/0509013 · 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.
arXiv comment44 pages, to be published in IJMPA
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