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

Richard Galvez, Simon M Catterall, Anosh Joseph, Dhagash Mehta

Research output: Contribution to journalConference article

2 Citations (Scopus)

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

Fingerprint

twisting
acceleration (physics)
confidence
simulation
fermions
continuums
formulations
conduction

ASJC Scopus subject areas

  • General

Cite this

Investigating the sign problem for two-dimensional N = (2,2) and N = (8,8) lattice super Yang–Mills theories. / Galvez, Richard; Catterall, Simon M; Joseph, Anosh; Mehta, Dhagash.

In: Proceedings of Science, Vol. 139, 01.01.2011.

Research output: Contribution to journalConference article

@article{d327c10bc2674474b2fa102078f93dc7,
title = "Investigating the sign problem for two-dimensional N = (2,2) and N = (8,8) lattice super Yang–Mills theories",
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.",
author = "Richard Galvez and Catterall, {Simon M} and Anosh Joseph and Dhagash Mehta",
year = "2011",
month = "1",
day = "1",
language = "English (US)",
volume = "139",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Investigating the sign problem for two-dimensional N = (2,2) and N = (8,8) lattice super Yang–Mills theories

AU - Galvez, Richard

AU - Catterall, Simon M

AU - Joseph, Anosh

AU - Mehta, Dhagash

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84924547277&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84924547277&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:84924547277

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -