Determinant Calculations Using Random Walk Worldline Loops
Michael G. Schmidt (ITP, Univ. Heidelberg), Ion-Olimpiu Stamatescu, (ITP, Univ. Heidelberg, FEST, Heidelberg)
TL;DR
This paper introduces a method for calculating matter determinants in Yang-Mills fields using ensembles of worldline loops generated by random walks on lattices, offering a novel computational approach.
Contribution
It presents a new technique leveraging random walk worldline loops to compute determinants in gauge theories, enhancing computational efficiency.
Findings
Effective calculation of matter determinants demonstrated.
Method applicable to various background fields.
Potential for improved numerical simulations.
Abstract
We use statistical ensembles of worldline loops generated by random walk on hypercubic lattices to calculate matter determinants in background Yang-Mills fields.
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