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

AU - Joseph, Anosh

AU - Mehta, Dhagash

N1 - Funding Information:
∗Speaker. †This work is supported in part by the U.S. Department of Energy grant under contract no. DE-FG02-85ER40237 and Science Foundation Ireland grant 08/RFP/PHY1462. Simulations were performed using USQCD resources at Fer-milab. AJ’s work is also supported in part by the LDRD program at the Los Alamos National Laboratory.
Publisher Copyright:
© Copyright owned by the author(s).

PY - 2011

Y1 - 2011

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.

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M3 - Conference article

AN - SCOPUS:84924547277

SN - 1824-8039

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011

Y2 - 10 July 2011 through 16 July 2011

ER -