Determinant Calculations with Random Walk Worldline Loops
High Energy Physics - Lattice
2007-05-23 v2 High Energy Physics - Theory
Abstract
We propose to calculate bosonic and fermionic determinants with some general field background, and the corresponding 1-loop effective actions by evaluating random walk worldline loops generated statistically on the lattice. This is illustrated by some numerical calculations for constant gauge field backgrounds and then discussed for the general case.
Cite
@article{arxiv.hep-lat/0201002,
title = {Determinant Calculations with Random Walk Worldline Loops},
author = {Michael G. Schmidt and Ion-Olimpiu Stamatescu},
journal= {arXiv preprint arXiv:hep-lat/0201002},
year = {2007}
}
Comments
12 pages, 9 ps figures, more explanations