On the sign problem in 2D lattice super Yang-Mills

Simon Catterall, Richard Galvez, Anosh Joseph, Dhagash Mehta

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

In recent years a new class of supersymmetric lattice theories have been proposed which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there has been some controversy in the literature concerning whether these theories suffer from a sign problem. In this paper we address this issue by conducting simulations of the N = (2, 2) and N = (8, 8) supersymmetric Yang-Mills theories in two dimensions for the U(N) theories with N = 2, 3, 4, using the new twisted lattice formulations. Our results provide evidence that these theories do not suffer from a sign problem in the continuum limit. These results thus boost confidence that the new lattice formulations can be used successfully to explore non-perturbative aspects of four-dimensional N = 4 supersymmetric Yang-Mills theory.

Original languageEnglish (US)
Article number108
JournalJournal of High Energy Physics
Volume2012
Issue number1
DOIs
StatePublished - Feb 27 2012

Keywords

  • BRST Symmetry
  • Extended Supersymmetry
  • Lattice Gauge Field Theories

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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