Mass scales and crossover phenomena in the homogeneous sine-Gordon models

Dorey, Patrick; Miramontes, J. Luis

doi:10.1016/j.nuclphysb.2004.07.019

Mass scales and crossover phenomena in the homogeneous sine-Gordon models

Dorey, Patrick; Miramontes, J. Luis

Authors

Professor Patrick Dorey p.e.dorey@durham.ac.uk
Professor

J. Luis Miramontes

Abstract

The finite-size behaviours of the homogeneous sine-Gordon models are analysed in detail, using the thermodynamic Bethe ansatz. Crossovers are observed which allow scales associated with both stable and unstable quantum particles to be picked up. By introducing the concept of shielding, we show that these match precisely with the mass scales found classically, supporting the idea that the full set of unstable particle states persists even far from the semiclassical regime. General rules for the effective TBA systems governing individual crossovers are given, and we also comment on the Lagrangian treatment of the theories, novel issues which arise in the form-factor approach for theories with unstable particles, and the role of heterotic cosets in the staircase flows exhibited by the HSG models.

Citation

Dorey, P., & Miramontes, J. L. (2004). Mass scales and crossover phenomena in the homogeneous sine-Gordon models. Nuclear Physics B, 697(3), 405-461. https://doi.org/10.1016/j.nuclphysb.2004.07.019

Journal Article Type	Article
Publication Date	Oct 11, 2004
Deposit Date	Mar 19, 2008
Publicly Available Date	Apr 27, 2009
Journal	Nuclear Physics B
Print ISSN	0550-3213
Publisher	Elsevier
Peer Reviewed	Peer Reviewed
Volume	697
Issue	3
Pages	405-461
DOI	https://doi.org/10.1016/j.nuclphysb.2004.07.019