TY - JOUR
T1 - Supersymmetric gauge theories on the lattice
T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011
AU - Mehta, Dhagash
AU - Catterall, Simon
AU - Galvez, Richard
AU - Joseph, Anosh
N1 - Funding Information:
†This work was supported 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 Fermilab. AJ’s work is also supported in part by the LDRD program at the Los Alamos National Laboratory. We thank Martin Schaden for his useful comments.
Publisher Copyright:
© Copyright owned by the author(s).
PY - 2011
Y1 - 2011
N2 - Recently a class of supersymmetric gauge theories have been successfully implemented on the lattice. However, there has been an ongoing debate on whether lattice versions of some of these theories suffer from a sign problem, with independent simulations for the N = (2,2) supersymmetric Yang-Mills theories in two dimensions yielding seemingly contradictory results. Here, we address this issue from an interesting theoretical point of view. We conjecture that the sign problem observed in some of the simulations is related to the so called Neuberger 0/0 problem, which arises in ordinary non-supersymmetric lattice gauge theories, and prevents the realization of Becchi-Rouet-Stora-Tyutin symmetry on the lattice. After discussing why we expect a sign problem in certain classes of supersymmetric lattice gauge theories far from the continuum limit, we argue that these problems can be evaded by use of a non-compact parametrization of the gauge link fields.
AB - Recently a class of supersymmetric gauge theories have been successfully implemented on the lattice. However, there has been an ongoing debate on whether lattice versions of some of these theories suffer from a sign problem, with independent simulations for the N = (2,2) supersymmetric Yang-Mills theories in two dimensions yielding seemingly contradictory results. Here, we address this issue from an interesting theoretical point of view. We conjecture that the sign problem observed in some of the simulations is related to the so called Neuberger 0/0 problem, which arises in ordinary non-supersymmetric lattice gauge theories, and prevents the realization of Becchi-Rouet-Stora-Tyutin symmetry on the lattice. After discussing why we expect a sign problem in certain classes of supersymmetric lattice gauge theories far from the continuum limit, we argue that these problems can be evaded by use of a non-compact parametrization of the gauge link fields.
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M3 - Conference Article
AN - SCOPUS:84976265970
SN - 1824-8039
VL - 139
JO - Proceedings of Science
JF - Proceedings of Science
Y2 - 10 July 2011 through 16 July 2011
ER -