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Article
Report number hep-th/9603190 ; CERN-TH-95-271 ; DAMTP-96-33 ; SWAT-103 ; CERN-TH-95-271 ; DAMTP-96-33 ; SWAT-103
Title Exact scattering in the SU(n) supersymmetric principal chiral model
Author(s) Evans, Jonathan M. (CERN ; Cambridge U.) ; Hollowood, Timothy J. (Swansea U.)
Affiliation (CERN) ; (DAMTP Cambridge) ; (Univ. Wales Swansea)
Publication 1997
Imprint 28 Mar 1995
Number of pages 24
Note 24 pages, plain tex with macro included Report-no: CERN-TH/95-271, DAMTP/96-33, SWAT/103
In: Nucl. Phys. B 493 (1997) 517-540
DOI 10.1016/S0550-3213(97)00077-1
Subject category Particle Physics - Theory
Abstract The complete spectrum of states in the supersymmetric principal chiral model based on SU(n) is conjectured, and an exact factorizable S-matrix is proposed to describe scattering amongst these states. The SU(n)_L*SU(n)_R symmetry of the lagrangian is manifest in the S-matrix construction. The supersymmetries, on the other hand, are incorporated in the guise of spin-1/2 charges acting on a set of RSOS kinks associated with su(n) at level n. To test the proposed S-matrix, calculations of the change in the ground-state energy in the presence of a coupling to a background charge are carried out. The results derived from the lagrangian using perturbation theory and from the S-matrix using the TBA are found to be in complete agreement for a variety of background charges which pick out, in turn, the highest weight states in each of the fundamental representations of SU(n). In particular, these methods rule out the possibility of additional CDD factors in the S-matrix. Comparison of the expressions found for the free-energy also yields an exact result for the mass-gap in these models: m/Lambda_{MS-bar}=(n/pi)sin(pi/n).
Copyright/License Copyright @ unknown. Published by Elsevier B.V.

Corresponding record in: Inspire
Email contact: T.Hollowood@swansea.ac.uk


 记录创建於1996-03-29,最後更新在2023-03-14


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