skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spontaneous supersymmetry breaking in two dimensional lattice super QCD

Abstract

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:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1226321
Report Number(s):
FERMILAB-PUB-15-497-T
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1505.00467
Grant/Contract Number:  
AC02-07CH11359
Resource 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
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

Citation Formats

Catterall, Simon, and Veernala, Aarti. Spontaneous supersymmetry breaking in two dimensional lattice super QCD. United States: N. p., 2015. 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. Fri . "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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A euclidean lattice construction of supersymmetric Yang-Mills theories with sixteen supercharges
journal, September 2005


Testing a novel large- N reduction for 𝒩 = 4 super Yang-Mills theory on R × S 3
journal, September 2009


Phases of N = 2 theories in two dimensions
journal, August 1993


Parallel software for lattice N = 4 supersymmetric Yang–Mills theory
journal, May 2015


Classification of supersymmetric lattice gauge theories by orbifolding
journal, July 2007


Phase structure of lattice $\mathcal{N}=4$ super Yang-Mills
journal, November 2012

  • Catterall, Simon; Damgaard, Poul H.; DeGrand, Thomas
  • Journal of High Energy Physics, Vol. 2012, Issue 11
  • DOI: 10.1007/JHEP11(2012)072

Holographic description of a quantum black hole on a computer
journal, April 2014


Lattice formulation of Script N = 4 super Yang-Mills theory
journal, June 2005


Simulations of Script N = 2 super Yang-Mills theory in two dimensions
journal, March 2006


From twisted supersymmetry to orbifold lattices
journal, January 2008


Supersymmetry on a euclidean spacetime lattice 2. Target theories with eight supercharges
journal, December 2003


Lattice formulation of two-dimensional <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> SQCD with exact supersymmetry
journal, February 2009


Exact extended supersymmetry on a lattice: Twisted <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> super-Yang–Mills in two dimensions
journal, February 2006


Twisted supersymmetric gauge theories and orbifold lattices
journal, October 2006


Exact lattice supersymmetry
journal, November 2009


A geometrical approach to N =2 super Yang-Mills theory on the two dimensional lattice
journal, November 2004


Geometry of orbifolded supersymmetric lattice gauge theories
journal, March 2008


Real space renormalization group for twisted lattice N $$ \mathcal{N} $$ =4 super Yang-Mills
journal, November 2014


Two-Dimensional Lattice for Four-Dimensional = 4 Supersymmetric Yang-Mills
journal, October 2011

  • Hanada, M.; Matsuura, S.; Sugino, F.
  • Progress of Theoretical Physics, Vol. 126, Issue 4
  • DOI: 10.1143/PTP.126.597

An object oriented code for simulating supersymmetric Yang–Mills theories
journal, June 2012


Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
journal, March 2004


On the sign problem in 2D lattice super Yang-Mills
journal, January 2012

  • Catterall, Simon; Galvez, Richard; Joseph, Anosh
  • Journal of High Energy Physics, Vol. 2012, Issue 1
  • DOI: 10.1007/JHEP01(2012)108

Aspects of non-abelian gauge dynamics in two-dimensional Script N = (2,2) theories
journal, May 2007


Lattice formulation of three-dimensional $ \mathcal{N}=4 $ gauge theory with fundamental matter fields
journal, September 2013


Supersymmetry on a euclidean spacetime lattice 1. A target theory with four supercharges
journal, August 2003


Perturbative renormalization of lattice $ \mathcal{N} = 4 $ super Yang-Mills theory
journal, April 2011

  • Catterall, Simon; Dzienkowski, Eric; Giedt, Joel
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)074

Twisted supersymmetries in lattice $ \mathcal{N} $ = 4 super Yang-Mills theory
journal, October 2013

  • Catterall, Simon; Giedt, Joel; Joseph, Anosh
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)166

Dynamical breaking of supersymmetry
journal, October 1981