Integrable sigma models and perturbed coset models
Abstract
Sigma models arise frequently in particle physics and condensed-matter physics as low-energy effective theories. In this paper I compute the exact free energy at any temperature in two hierarchies of integrable sigma models in two dimensions. These theories, the SU(N)/SO(N) models and the O(2P)/O(P) × O(P) models, are asymptotically free and exhibit charge fractionalization. When the instanton coupling θ = π, they flow to the SU(N)1 and O(2P)1 conformal field theories, respectively. I also generalize the free energy computation to massive and massless perturbations of the coset conformal field theories SU(N)k/SO(N)2k and O(2P)k/O(P)k × O(P)k.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2001
- DOI:
- 10.1088/1126-6708/2001/05/050
- arXiv:
- arXiv:hep-th/0101034
- Bibcode:
- 2001JHEP...05..050F
- Keywords:
-
- High Energy Physics - Theory;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 39 pages, 6 figures