Next to leading order effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model at finite temperature

F. P. Esposito, Igor Shovkovy, L. C R Wijewardhana

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The finite temperature effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model is constructed up to the next to leading order in the large N expansion, where N is the number of flavors in the model. The distinctive feature of the analysis is an inclusion of an additional scalar field, which allows us to circumvent the well known, and otherwise unavoidable problem with the imaginary contribution to the effective potential. In accordance with the Mermin-Wagner-Coleman theorem, applied to the dimensionally reduced subsystem of the zero Matsubara modes of the composite boson fields, the finite temperature effective potential reveals a global minimum at the zero of the composite order parameter. This allows us to conclude that the continuous global symmetry of the NJL model is not broken for any arbitrarily small, finite temperature.

Original languageEnglish (US)
Article number065003
Pages (from-to)650031-650038
Number of pages8
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number6
StatePublished - Sep 15 1998
Externally publishedYes

Fingerprint

Effective Potential
Finite Temperature
Composite
boson fields
composite materials
Zero
Global Minimum
Order Parameter
Bosons
Scalar Field
temperature
Subsystem
theorems
Inclusion
Model
inclusions
scalars
Symmetry
expansion
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Next to leading order effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model at finite temperature. / Esposito, F. P.; Shovkovy, Igor; Wijewardhana, L. C R.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 6, 065003, 15.09.1998, p. 650031-650038.

Research output: Contribution to journalArticle

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