Effects of quantum instantons on the thermodynamics of the CPN-1 model

Jens O. Andersen*, Daniël Boer, Harmen J. Warringa

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Abstract

Using the 1/N expansion, we study the influence of quantum instantons on the thermodynamics of the CPN-1 model in 1+1 dimensions. We do this by calculating the pressure to next-to-leading order in 1/N, without quantum instanton contributions. The fact that the CP1 model is equivalent to the O(3) nonlinear sigma model allows for a comparison to the full pressure up to 1/N-2 corrections for N=3. Assuming validity of the 1/N expansion for the CP1 model makes it possible to argue that the pressure for intermediate temperatures is dominated by the effects of quantum instantons. A similar conclusion can be drawn for general N values by using the fact that the entropy should always be positive.

Original languageEnglish
Article number045028
Number of pages7
JournalPhysical Review D
Volume74
Issue number4
DOIs
Publication statusPublished - Aug-2006
Externally publishedYes

Keywords

  • INVARIANT GAUGE-THEORIES
  • NONLINEAR SIGMA-MODELS
  • FINITE-TEMPERATURE
  • EXPANSION
  • 1-N

Cite this