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arXiv:1105.0711·v1·High Energy Physics — Theory

Derivation of an Abelian effective model for instanton chains in 3D Yang-Mills theory

A. L. L. de Lemos🇧🇷 · L. E. Oxman🇧🇷 · B. F. I. Teixeira🇧🇷

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Abstract

In this work, we derive a recently proposed Abelian model to describe the interaction of correlated monopoles, center vortices, and dual fields in three dimensional SU(2) Yang-Mills theory. Following recent polymer techniques, special care is taken to obtain the end-to-end probability for a single interacting center vortex, which constitutes a key ingredient to represent the ensemble integration.

Comments: 18 pages, LaTeX

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