A 2D integrable axion model and Target space duality
Abstract
A review is given on the recently proposed two dimensional axion model (O(3) sigma-model with a dynamical Hopf-term) and the T-duality relating it to the SU(2)xU(1) symmetric anisotropic sigma-model. Strong evidence is presented for the correctness of the proposed S-matrix for both models comparing perturbative and Thermodynamical Bethe Ansatz calculations for different types of free energies. This also provides a very stringent test of the validity of T-duality transformation at the quantum level. The quantum non-integrability of the O(3) sigma-model with a non-dynamical Hopf-term, in contradistinction to the axion model, is illustrated by calculating the 2-->3 particle production amplitude to lowest order.
Keywords
Cite
@article{arxiv.hep-th/0111124,
title = {A 2D integrable axion model and Target space duality},
author = {Peter Forgacs},
journal= {arXiv preprint arXiv:hep-th/0111124},
year = {2017}
}
Comments
LateX, 21 pages, 1 figure. Improved version of a talk delivered at the Johns Hopkins workshop `Non-perturbative QFT Methods and their Applications', Budapest, 2000