Spontaneous supersymmetry breaking in two dimensional lattice super QCD

Catterall, Simon; Veernala, Aarti

doi:10.1007/JHEP10(2015)013

Title: Spontaneous supersymmetry breaking in two dimensional lattice super QCD

Journal Article · Fri Oct 02 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2015)013· OSTI ID:1226321

Catterall, Simon ^[1]; Veernala, Aarti ^[2]

Syracuse Univ., Syracuse, NY (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

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.

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Research Organization:: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1226321

Report Number(s):: FERMILAB-PUB-15-497-T; arXiv eprint number arXiv:1505.00467

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 10; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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Cited By (3)

3d N = 4 $$ \mathcal{N}=4 $$ super-Yang-Mills on a lattice Giedt, Joel; Lipstein, Arthur E. Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/jhep03(2018)162	journal	March 2018
Lattice gauge theory for physics beyond the Standard Model Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T. The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12901-5	journal	November 2019
Lattice Gauge Theory for Physics Beyond the Standard Model Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T. arXiv https://doi.org/10.48550/arxiv.1904.09964	text	January 2019

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