### 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 language | English (US) |
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Article number | 055044 |

Journal | Physical Review D |

Volume | 97 |

Issue number | 5 |

DOIs | |

State | Published - Mar 1 2018 |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D*,

*97*(5), [055044]. https://doi.org/10.1103/PhysRevD.97.055044