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On integrable boundaries in the 2 dimensional O(N) σ-models.
- Source :
-
Journal of Physics A: Mathematical & Theoretical . 9/8/2017, Vol. 50 Issue 36, p1-1. 1p. - Publication Year :
- 2017
-
Abstract
- We make an attempt to map the integrable boundary conditions for 2 dimensional non-linear σ-models. We do it at various levels: classically, by demanding the existence of infinitely many conserved local charges and also by constructing the double row transfer matrix from the Lax connection, which leads to the spectral curve formulation of the problem; at the quantum level, we describe the solutions of the boundary Yang–Baxter equation and derive the Bethe–Yang equations. We then show how to connect the thermodynamic limit of the boundary Bethe–Yang equations to the spectral curve. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17518113
- Volume :
- 50
- Issue :
- 36
- Database :
- Academic Search Index
- Journal :
- Journal of Physics A: Mathematical & Theoretical
- Publication Type :
- Academic Journal
- Accession number :
- 124593381
- Full Text :
- https://doi.org/10.1088/1751-8121/aa8205