Fermion mass without symmetry breaking
Abstract
We examine a model of reduced staggered fermions in three dimensions interacting through an SO (4) invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling without producing a symmetry breaking fermion bilinear condensate. As a result, massless and massive phases appear to be separated by a continuous phase transition.
 Authors:

 Syracuse Univ., Syracuse, NY (United States). Dept. of Physics
 Publication Date:
 Research Org.:
 Syracuse Univ., Syracuse, NY (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); National Science Foundation (NSF)
 OSTI Identifier:
 1358550
 Grant/Contract Number:
 SC0009998; PHY1066293; PHY1125915
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Volume: 2016; Journal Issue: 1; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; spontaneous symmetry breaking; lattice quantum field theory
Citation Formats
Catterall, Simon. Fermion mass without symmetry breaking. United States: N. p., 2016.
Web. doi:10.1007/JHEP01(2016)121.
Catterall, Simon. Fermion mass without symmetry breaking. United States. doi:10.1007/JHEP01(2016)121.
Catterall, Simon. Wed .
"Fermion mass without symmetry breaking". United States. doi:10.1007/JHEP01(2016)121. https://www.osti.gov/servlets/purl/1358550.
@article{osti_1358550,
title = {Fermion mass without symmetry breaking},
author = {Catterall, Simon},
abstractNote = {We examine a model of reduced staggered fermions in three dimensions interacting through an SO (4) invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan. We present theoretical arguments and numerical evidence which support the idea that the system develops a mass gap for sufficiently strong four fermi coupling without producing a symmetry breaking fermion bilinear condensate. As a result, massless and massive phases appear to be separated by a continuous phase transition.},
doi = {10.1007/JHEP01(2016)121},
journal = {Journal of High Energy Physics (Online)},
issn = {10298479},
number = 1,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}
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Works referencing / citing this record:
Why is the mission impossible? Decoupling the mirror Ginsparg–Wilson fermions in the lattice models for twodimensional Abelian chiral gauge theories
journal, July 2019
 Kikukawa, Y.
 Progress of Theoretical and Experimental Physics, Vol. 2019, Issue 7
Why is the mission impossible? Decoupling the mirror Ginsparg–Wilson fermions in the lattice models for twodimensional Abelian chiral gauge theories
journal, July 2019
 Kikukawa, Y.
 Progress of Theoretical and Experimental Physics, Vol. 2019, Issue 7
Absence of chiral symmetry breaking in Thirring models in $1+2$ dimensions
journal, September 2019
 Lenz, Julian J.; Wellegehausen, Björn H.; Wipf, Andreas
 Physical Review D, Vol. 100, Issue 5