From defects to boundaries

Apr, 2004
8 pages
Published in:
  • Int.J.Mod.Phys.A 21 (2006) 1063-1078
e-Print:

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Abstract:
In this paper we describe how relativistic field theories containing defects are equivalent to a class of boundary field theories. As a consequence previously derived results for boundaries can be directly applied to defects, these results include reduction formulas, the Coleman-Thun mechanism and Cutcosky rules. For integrable theories the defect crossing unitarity equation can be derived and defect operator found. For a generic purely transmitting impurity we use the boundary bootstrap method to obtain solutions of the defect Yang-Baxter equation. The groundstate energy on the strip with defects is also calculated.
Note:
  • 14 pages, 10 figures. V2 Removed comparison to RT algebras and added paragraph on the usefulness of transmitting defects in the study of boundary systems. References added. V3 Extended to include application to defect TBA
  • Defects
  • boundaries
  • quantum field theory
  • field theory: scalar
  • defect: topological
  • parity: transformation
  • Yang-Baxter equation
  • factorization
  • bootstrap