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.
|Number of pages||14|
|Journal||Nuclear Physics B|
|State||Published - Jul 30 1984|
Bibliographical noteFunding 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