English

Instanton Dynamics in the Broken Phase of the Topological Sigma Model

High Energy Physics - Theory 2016-09-06 v2

Abstract

The topological σ\sigma model with the black hole metric of the target space is considered. It has been shown before that this model is in the phase with BRST-symmetry broken. In particular, vacuum energy is non-\-zero and correlation functions of observables show the coordinate dependence. However these quantities turned out to be infrared (IR) divergent. It is shown here that IR divergences disappear after the sum over an arbitrary number of additional instanton-\-anti-\-instanton pairs is performed. The model appears to be equivalent to Coulomb gas/Sine Gordon system.

Keywords

Cite

@article{arxiv.hep-th/9502149,
  title  = {Instanton Dynamics in the Broken Phase of the Topological Sigma Model},
  author = {A. V. Yung},
  journal= {arXiv preprint arXiv:hep-th/9502149},
  year   = {2016}
}

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