Integrable sigma models and perturbed coset models | Zendy

Paul Fendley | Zendy

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Integrable sigma models and perturbed coset models

Author(s) -

Paul Fendley

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/05/050

Subject(s) - coset , physics , mathematical physics , massless particle , sigma , conformal map , integrable system , instanton , charge (physics) , sigma model , field (mathematics) , conformal field theory , theoretical physics , quantum mechanics , combinatorics , mathematics , pure mathematics , geometry , nonlinear system

Sigma models arise frequently in particle physics and condensed-matterphysics as low-energy effective theories. In this paper I compute the exactfree energy at any temperature in two hierarchies of integrable sigma models intwo dimensions. These theories, the SU(N)/SO(N) and O(2P)/O(P) x O(P) models,are asymptotically free and exhibit charge fractionalization. When theinstanton coupling theta=pi, they flow to the SU(N)_1 and O(2P)_1 conformalfield theories, respectively. I also generalize the free energy computation tomassive and massless perturbations of the coset conformal field theoriesSU(N)_k/SO(N)_{2k} and O(2P)_k/O(P)_k x O(P)_k.Comment: 39 pages, 6 figure

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