On purely transmitting defects in affine Toda field theory

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Affine Toda field theories with a purely transmitting integrable defect are considerd and the model based on a(2) is analysed in detail. After providing a complete charcterization of the problem in a classical framework, a suitable quantam transmission matrix, able to describe the interaction between an integrable defect and solitions, is found. Two independent paths are taken to reach the result. One is an investigation of the triangle equations using the S-matrix for the imaginary coupling bulk affine Toada field theories proposed by Hollowood, and the other uses funtional integral approach together with a bootstrap procedue. Evidence to support the results is collected in various ways: for instance, through the calculation of the transmission factors for the lightest breathers. While previous discoveris within the sine-Gordon model motivated this study, there are serverl new phenomena displayed in the a(2) model including intriguing disparities between the classical and the quantum pictures. For example, in the quantum framework, for a speicific range of the coupling constanst that excludes a neighbourhood of the classical limit, there is an unstable bound state.

Original languageEnglish
Article number001
Pages (from-to)-
Number of pages38
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - Jul 2007


  • integrable field theories
  • boundary quantum field
  • exact S-matrix
  • LINE

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