Twisted reduced chiral models at large N

Sumit R. Das; John B. Kogut

doi:10.1016/0550-3213(84)90494-2

Twisted reduced chiral models at large N

Sumit R. Das, John B. Kogut

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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 language	English
Pages (from-to)	521-534
Number of pages	14
Journal	Nuclear Physics B
Volume	235
Issue number	4
DOIs	https://doi.org/10.1016/0550-3213(84)90494-2
State	Published - 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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10.1016/0550-3213(84)90494-2

Cite this

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title = "Twisted reduced chiral models at large N",

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.",

author = "Das, {Sumit R.} and Kogut, {John B.}",

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.",

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T1 - Twisted reduced chiral models at large N

AU - Das, Sumit R.

AU - Kogut, John B.

N1 - 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.

PY - 1984/7/30

Y1 - 1984/7/30

N2 - 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.

AB - 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.

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U2 - 10.1016/0550-3213(84)90494-2

DO - 10.1016/0550-3213(84)90494-2

M3 - Article

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SN - 0550-3213

VL - 235

SP - 521

EP - 534

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 4

ER -

Twisted reduced chiral models at large N

Abstract

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