Vortices and phase transitions in two-dimensional non-abelian spin models

Sorin Solomon

doi:10.1016/0370-2693(81)90612-2

Vortices and phase transitions in two-dimensional non-abelian spin models

Sorin Solomon^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We modify O(n) models (n>2) in two dimensions so as to comparedifferent thoeries with identical local properties and different global ones. Our O′ (3) model with a particular interaction has vortex-like configuration (π₁(P₂) = Z₂) though it is locally equivalent to an O (3) model (π₁(S₂) = 0). Our results have been obtained by means of strong coupling methods. The Padé extrapolants show a critical value x_c = 11.8.

Original language	English
Pages (from-to)	492-496
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	100
Issue number	6
DOIs	https://doi.org/10.1016/0370-2693(81)90612-2
State	Published - 23 Apr 1981
Externally published	Yes

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abstract = "We modify O(n) models (n>2) in two dimensions so as to comparedifferent thoeries with identical local properties and different global ones. Our O′ (3) model with a particular interaction has vortex-like configuration (π1(P2) = Z2) though it is locally equivalent to an O (3) model (π1(S2) = 0). Our results have been obtained by means of strong coupling methods. The Pad{\'e} extrapolants show a critical value xc = 11.8.",

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AB - We modify O(n) models (n>2) in two dimensions so as to comparedifferent thoeries with identical local properties and different global ones. Our O′ (3) model with a particular interaction has vortex-like configuration (π1(P2) = Z2) though it is locally equivalent to an O (3) model (π1(S2) = 0). Our results have been obtained by means of strong coupling methods. The Padé extrapolants show a critical value xc = 11.8.

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Vortices and phase transitions in two-dimensional non-abelian spin models

Abstract

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