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

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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 \( \mathcal{N} \) = (2, 2) and \( \mathcal{N} \) = (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 \( \mathcal{N} \) = 4 supersymmetric Yang-Mills theory.

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Authors and Affiliations

  1. Department of Physics, Syracuse University, Syracuse, NY, 13244, U.S.A

    Simon Catterall, Richard Galvez & Dhagash Mehta

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, U.S.A

    Anosh Joseph

Authors
  1. Simon Catterall
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  2. Richard Galvez
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  3. Anosh Joseph
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  4. Dhagash Mehta
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Correspondence to Simon Catterall.

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ArXiv ePrint: 1112.3588

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Catterall, S., Galvez, R., Joseph, A. et al. On the sign problem in 2D lattice super Yang-Mills. J. High Energ. Phys. 2012, 108 (2012). https://doi.org/10.1007/JHEP01(2012)108

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  • DOI: https://doi.org/10.1007/JHEP01(2012)108

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