Matter Determinants in Background Fields Using Random Walk World Line Loops on the Lattice-Reference-Cited by-同舟云学术

Matter Determinants in Background Fields Using Random Walk World Line Loops on the Lattice

Published:2003-07-20 Issue:22 Volume:18 Page:1499-1515
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

Schmidt Michael G.¹,Stamatescu Ion-Olimpiu²¹

Affiliation:

1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany

2. Forschungsstelle der Evangelischen Studiengemeinschaft, Schmeilweg 5, D-69118 Heidelberg, Germany

Abstract

The continuum World Line Formalism permits a transparent discussion of bosonic and fermionic determinants in some background field. For general, nontrivial backgrounds numerical evaluations must be envisaged. In this work we implement this formalism on the lattice by using statistically generated random walk world line loops. We illustrate the method by applying it to special cases and discuss the results in comparison with known analytic solutions in continuum.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732303011204

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