Investigating the sign problem for two-dimensional N = (2,2) and N = (8,8) lattice super Yang–Mills theories

Richard Galvez, Simon Catterall, Anosh Joseph, Dhagash Mehta

Research output: Contribution to journalConference article

2 Scopus citations

Abstract

Recently there has been some controversy in the literature concerning the existence of a fermion sign problem in the N = (2,2) supersymmetric Yang–Mills (SYM) theories on the lattice. In this work, we address this issue by conducting Monte Carlo simulations not only for N = (2,2) but also for N = (8,8) SYM in two dimensions for the U(N) theories with N = 2, using the new ideas derived from topological twisting followed by geometric discretization. Our results from simulations provide the evidence that these theories do not suffer from a sign problem as the continuum limit is approached. These results thus boost confidence that these new lattice formulations can be used successfully to explore the nonperturbative aspects of the four-dimensional N = 4 SYM theory.

Original languageEnglish (US)
JournalProceedings of Science
Volume139
StatePublished - Jan 1 2011
Event29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States
Duration: Jul 10 2011Jul 16 2011

ASJC Scopus subject areas

  • General

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