Nonperturbative study of dynamical SUSY breaking in N= (2,2) Yang-Mills theory

Simon M Catterall, Raghav G. Jha, Anosh Joseph

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Abstract

We examine the possibility of dynamical supersymmetry breaking in two-dimensional N=(2,2) supersymmetric Yang-Mills theory. The theory is discretized on a Euclidean spacetime lattice using a supersymmetric lattice action. We compute the vacuum energy of the theory at finite temperature and take the zero-temperature limit. Supersymmetry will be spontaneously broken in this theory if the measured ground-state energy is nonzero. By performing simulations on a range of lattices up to 96×96 we are able to perform a careful extrapolation to the continuum limit for a wide range of temperatures. Subsequent extrapolations to the zero-temperature limit yield an upper bound on the ground-state energy density. We find the energy density to be statistically consistent with zero in agreement with the absence of dynamical supersymmetry breaking in this theory.

Original languageEnglish (US)
Article number055044
JournalPhysical Review D
Volume97
Issue number5
DOIs
StatePublished - Mar 1 2018

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ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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