The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N
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.
- Publication Date:
- Report Number(s):
- FERMILAB-PUB-14-113-T
Journal ID: ISSN 1029-8479; PII: 9006; TRN: US1500455
- Grant/Contract Number:
- AC02-07CH11359
- 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
- Research Org:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; spontaneous symmetry breaking; Chern-Simons theories; 1/N expansion
- OSTI Identifier:
- 1151748
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.,
Web. doi:10.1007/JHEP10(2014)039.
Bardeen, William A. The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N. United States. doi:10.1007/JHEP10(2014)039.
Bardeen, William A. 2014.
"The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N". United States.
doi:10.1007/JHEP10(2014)039. https://www.osti.gov/servlets/purl/1151748.
@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 = {2014},
month = {10}
}