Work

Simulating gauge theories on Lefschetz thimbles

Year: 2020

Type: conference-paper

Abstract: Lefschetz thimbles have been proposed recently as a possible solution to the complex action problem (sign problem) in Monte Carlo simulations. Here we discuss pure abelian gauge theory with a complex coupling $β$ and apply the concept of Generalized Lefschetz thimbles. We propose to simulate the theory on the union of the tangential manifolds to the thimbles. We construct a local Metropolis-type algorithm, that is constrained to a specific tangential manifold. We also discuss how, starting from this result, successive subleading tangential manifolds can be taken into account via a reweighting approach. We demonstrate the algorithm on $U(1)$ gauge theory in 1+1 dimensions and investigate the residual sign problem.

Source: University of Southern Denmark Research Portal (University of Southern Denmark)

DOI: 10.48550/arxiv.2001.09767

Authors: Pawlowski, Jan M., Scherzer, Manuel, Schmidt, Christian, Ziegler, Felix P. G., Ziesché, Felix

Institutions: Heidelberg University, Bielefeld University, University of Southern Denmark

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Strong, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung, Emberi Eroforrások Minisztériuma