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Title: 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:
 [1]
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  1. Syracuse Univ., Syracuse, NY (United States). Dept. of Physics
Publication Date:
Research Org.:
Syracuse Univ., NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)
OSTI Identifier:
1358550
Grant/Contract Number:  
SC0009998; PHY-1066293; PHY11-25915
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: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479
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.
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Catterall, Simon. Fermion mass without symmetry breaking. United States. https://doi.org/10.1007/JHEP01(2016)121
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Catterall, Simon. Wed . "Fermion mass without symmetry breaking". United States. https://doi.org/10.1007/JHEP01(2016)121. https://www.osti.gov/servlets/purl/1358550.
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@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)},
number = 1,
volume = 2016,
place = {United States},
year = {Wed Jan 20 00:00:00 EST 2016},
month = {Wed Jan 20 00:00:00 EST 2016}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1007/JHEP01(2016)121
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Works referenced in this record:

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Self-energy and flavor interpretation of staggered fermions
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Fermion-Higgs model with reduced staggered fermions
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The equivalence of the top quark condensate and the elementary Higgs field
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Exact 2+1 flavour RHMC simulations
text, January 2004

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    • Gazit, Snir; Assaad, Fakher F.; Sachdev, Subir
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    Origin of fermion masses without spontaneous symmetry breaking
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