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Path optimization for U(1) gauge theory with complexified parameters

Kouji Kashiwa1,* and Yuto Mori2,†

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Faculty of Science, Kyoto University, Kyoto 606-8502, Japan

  • *kashiwa@fit.ac.jp
  • †mori@ruby.scphys.kyoto-u.ac.jp
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Phys. Rev. D 102, 054519 – Published 30 September, 2020

DOI: https://doi.org/10.1103/PhysRevD.102.054519

Abstract

In this article, we apply the path optimization method to handle the complexified parameters in the 1+1 dimensional pure U(1) gauge theory on the lattice. Complexified parameters make it possible to explore the Lee-Yang zeros which helps us to understand the phase structure and thus we consider the complex coupling constant with the path optimization method in the theory. We clarify the gauge fixing issue in the path optimization method; the gauge fixing helps to optimize the integration path effectively. With the gauge fixing, the path optimization method can treat the complex parameter and control the sign problem. It is the first step to directly tackle the Lee-Yang zero analysis of the gauge theory by using the path optimization method.

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Phys. Rev. D 102, 054519– Published 30 September, 2020
  • Received 16 July 2020
  • Accepted 15 September 2020
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