The massive fermion phase for the U(N) Chern-Simons gauge theory in D=3 at large N
- Fermi National Accelerator Laboratory, Batavia, IL (United States)
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.
- Research Organization:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- AC02-07CH11359
- OSTI ID:
- 1151748
- Report Number(s):
- FERMILAB-PUB-14-113-T; PII: 9006; TRN: US1500455
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2014, Issue 10; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories
|
journal | November 2018 |
Large limit of supersymmetric Chern-Simons-matter model: Breakdown of superconformal symmetry
|
journal | January 2017 |
| Three Dimensional Bosonization From Supersymmetry | preprint | January 2015 |
| Large N limit of supersymmetric Chern-Simons-matter model: breakdown of superconformal symmetry | text | January 2015 |
| Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-Matter theories | text | January 2018 |
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