Twisted reduced chiral models at large N

Sumit R. Das, John B. Kogut

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We construct and study the twisted reduced SU(N)×SU(N) chiral model in two dimensions. The equivalence of the reduced model to the field theory is established by examining the Dyson-Schwinger equations and weak coupling perturbation expansion. We evaluate the internal energy and two-point correlation function by extensive Monte Carlo simulations for N=12, 24 and 36. We find a non-analyticity near the weak coupling edge of the crossover region in which the system flips back and forth between the "normal" state and one characterised by a strongly disordered correlation function.

Original languageEnglish
Pages (from-to)521-534
Number of pages14
JournalNuclear Physics B
Volume235
Issue number4
DOIs
StatePublished - Jul 30 1984

Bibliographical note

Funding Information:
This work was initiated at the University of Chicago. The authors thank Steve Shenkera nd Dan Friedan for helpfulc onversationsJB. K thankst he ResearchB oard of the Universityo f Illinois for large blocks of backgroundc omputingt ime on the researchC YBER-175. SRD thanks the Enrico Fermi Institute and the Computer Departmento f Fermilab for the use of their VAX computersS. RD would also like to thank the Aspen Center for Physics where part of this work was done. The researcho f JBK was partially supportedb y the NSF under grant no. NSF-PHY82-09148.T he researcho f SRD was partially supportedb y NSF-contractn o. PHY-83-02112.

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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