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Title: Spontaneous supersymmetry breaking in two dimensional lattice super QCD

We report on a non-perturbative study of two dimensional N=(2,2) super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains N f fermions in the fundamental representation of a U(N c) gauge group. The lattice action we employ contains an additional Fayet-Iliopoulos term which is also invariant under the exact lattice supersymmetry. This work constitutes the first numerical study of this theory which serves as a toy model for understanding some of the issues that are expected to arise in four dimensional super QCD. As a result, we present evidence that the exact supersymmetry breaks spontaneously when N f < N c in agreement with theoretical expectations.
Authors:
 [1] ;  [2]
  1. Syracuse Univ., Syracuse, NY (United States)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Report Number(s):
FERMILAB-PUB-15-497-T
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1505.00467
Grant/Contract Number:
AC02-07CH11359
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 10; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersymmetry breaking; spontaneous symmetry breaking; Beyond Standard Model; lattice gauge field theories
OSTI Identifier:
1226321

Catterall, Simon, and Veernala, Aarti. Spontaneous supersymmetry breaking in two dimensional lattice super QCD. United States: N. p., Web. doi:10.1007/JHEP10(2015)013.
Catterall, Simon, & Veernala, Aarti. Spontaneous supersymmetry breaking in two dimensional lattice super QCD. United States. doi:10.1007/JHEP10(2015)013.
Catterall, Simon, and Veernala, Aarti. 2015. "Spontaneous supersymmetry breaking in two dimensional lattice super QCD". United States. doi:10.1007/JHEP10(2015)013. https://www.osti.gov/servlets/purl/1226321.
@article{osti_1226321,
title = {Spontaneous supersymmetry breaking in two dimensional lattice super QCD},
author = {Catterall, Simon and Veernala, Aarti},
abstractNote = {We report on a non-perturbative study of two dimensional N=(2,2) super QCD. Our lattice formulation retains a single exact supersymmetry at non-zero lattice spacing, and contains Nf fermions in the fundamental representation of a U(Nc) gauge group. The lattice action we employ contains an additional Fayet-Iliopoulos term which is also invariant under the exact lattice supersymmetry. This work constitutes the first numerical study of this theory which serves as a toy model for understanding some of the issues that are expected to arise in four dimensional super QCD. As a result, we present evidence that the exact supersymmetry breaks spontaneously when Nf < Nc in agreement with theoretical expectations.},
doi = {10.1007/JHEP10(2015)013},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2015,
place = {United States},
year = {2015},
month = {10}
}