On the massless tree-level S-matrix in 2d sigma models release_4gypmsa7ifhktasr4lkiyw4usm

by Ben Hoare, Nat Levine, Arkady A. Tseytlin

Released as a report .

2019  

Abstract

Motivated by the search for new integrable string models, we study the properties of massless tree-level S-matrices for 2d sigma models expanded near the trivial vacuum. We find that, in contrast to the standard massive case, there is no apparent link between massless S-matrices and integrability: in well-known integrable models the tree-level massless S-matrix fails to factorize and exhibits particle production. Such tree-level particle production is found in several classically integrable models: the principal chiral model, its classically equivalent "pseudo-dual" model, its non-abelian dual model and also the SO(N+1)/SO(N) coset model. The connection to integrability may, in principle, be restored if one expands near a non-trivial vacuum with massive excitations. We discuss IR ambiguities in 2d massless tree-level amplitudes and their resolution using either a small mass parameter or the i epsilon-regularization. In general, these ambiguities can lead to anomalies in the equivalence of the S-matrix under field redefinitions, and may be linked to the observed particle production in integrable models. We also comment on the transformation of massless S-matrices under sigma model T-duality, comparing the standard and the "doubled" formulations (with T-duality covariance built into the latter).
In text/plain format

Archived Files and Locations

application/pdf   895.7 kB
file_boearsb5gfh2npebethusog7tq
arxiv.org (repository)
web.archive.org (webarchive)
Read Archived PDF
Preserved and Accessible
Type  report
Stage   accepted
Date   2019-05-15
Version   v4
Language   en ?
Number  Imperial-TP-AT-2018-05
arXiv  1812.02549v4
Work Entity
access all versions, variants, and formats of this works (eg, pre-prints)
Catalog Record
Revision: 45f31090-7ab6-440f-a88a-5f7f0879d2c7
API URL: JSON