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Title: The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N

Abstract

We explore the phase structure of fermions in the U(N) Chern-Simons Gauge theory in three dimensions using the large N limit where N is the number of colors and the fermions are taken to be in the fundamental representation of the U(N) gauge group. In the large N limit, the theory retains its classical conformal behavior and considerable attention has been paid to possible AdS/CFT dualities of the theory in the conformal phase. In this paper we present a solution for the massive phase of the fermion theory that is exact to the leading order of ‘t Hooft’s large N expansion. We present evidence for the spontaneous breaking of the exact scale symmetry and analyze the properties of the dilaton that appears as the Goldstone boson of scale symmetry breaking.

Authors:
 [1]
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  1. Fermi National Accelerator Laboratory, 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:
1151748
Report Number(s):
FERMILAB-PUB-14-113-T
Journal ID: ISSN 1029-8479; PII: 9006; TRN: US1500455
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: 2014; 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; spontaneous symmetry breaking; Chern-Simons theories; 1/N expansion

Citation Formats

Bardeen, William A. The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N. United States: N. p., 2014. Web. doi:10.1007/JHEP10(2014)039.
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Bardeen, William A. The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N. United States. https://doi.org/10.1007/JHEP10(2014)039
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Bardeen, William A. Tue . "The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N". United States. https://doi.org/10.1007/JHEP10(2014)039. https://www.osti.gov/servlets/purl/1151748.
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@article{osti_1151748,
title = {The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N},
author = {Bardeen, William A.},
abstractNote = {We explore the phase structure of fermions in the U(N) Chern-Simons Gauge theory in three dimensions using the large N limit where N is the number of colors and the fermions are taken to be in the fundamental representation of the U(N) gauge group. In the large N limit, the theory retains its classical conformal behavior and considerable attention has been paid to possible AdS/CFT dualities of the theory in the conformal phase. In this paper we present a solution for the massive phase of the fermion theory that is exact to the leading order of ‘t Hooft’s large N expansion. We present evidence for the spontaneous breaking of the exact scale symmetry and analyze the properties of the dilaton that appears as the Goldstone boson of scale symmetry breaking.},
doi = {10.1007/JHEP10(2014)039},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2014,
place = {United States},
year = {Tue Oct 07 00:00:00 EDT 2014},
month = {Tue Oct 07 00:00:00 EDT 2014}
}
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Journal Article:
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https://doi.org/10.1007/JHEP10(2014)039
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    Works referencing / citing this record:

    Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
    journal, November 2018

    • Dey, Anshuman; Halder, Indranil; Jain, Sachin
    • Journal of High Energy Physics, Vol. 2018, Issue 11
    • DOI: 10.1007/jhep11(2018)020

    Large N limit of supersymmetric Chern-Simons-matter model: Breakdown of superconformal symmetry
    journal, January 2017

    Three Dimensional Bosonization From Supersymmetry
    preprint, January 2015

    Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
    text, January 2018

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