文章基本信息

标题：Numerical results regarding the sign problem in 2 dimensional Supersymmetric Yang-Mills theories with 4 and 16 supercharges
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作者：R. Galvez ; S. Catterall ; D.B. Mehta 等
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2011
卷号：2011
期号：Lattice2011
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：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.