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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 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.

Authors:
 [1];  [2]
+ Show Author Affiliations
  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)
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.
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Catterall, Simon, & Veernala, Aarti. Spontaneous supersymmetry breaking in two dimensional lattice super QCD. United States. https://doi.org/10.1007/JHEP10(2015)013
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Catterall, Simon, and Veernala, Aarti. Fri . "Spontaneous supersymmetry breaking in two dimensional lattice super QCD". United States. https://doi.org/10.1007/JHEP10(2015)013. https://www.osti.gov/servlets/purl/1226321.
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@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 = {Fri Oct 02 00:00:00 EDT 2015},
month = {Fri Oct 02 00:00:00 EDT 2015}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP10(2015)013
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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
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Parallel software for lattice N = 4 supersymmetric Yang–Mills theory
journal, May 2015

Classification of supersymmetric lattice gauge theories by orbifolding
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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

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journal, June 2005

Simulations of Script N = 2 super Yang-Mills theory in two dimensions
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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

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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

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    Works referencing / citing this record:

    3d N = 4 $$ \mathcal{N}=4 $$ super-Yang-Mills on a lattice
    journal, March 2018

    Lattice gauge theory for physics beyond the Standard Model
    journal, November 2019

    • Brower, Richard C.; Hasenfratz, Anna; Neil, Ethan T.
    • The European Physical Journal A, Vol. 55, Issue 11
    • DOI: 10.1140/epja/i2019-12901-5

    Lattice Gauge Theory for Physics Beyond the Standard Model
    text, January 2019

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