Mass gap in the weak coupling limit of \((2+1)\) SU(2) lattice gauge theory

We develop the dual description of \(2+1\) SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons. "Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics mor...

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Bibliographic Details
Published in:arXiv.org 2018-02
Main Authors: Anishetty, Ramesh, Sreeraj, T P
Format: Article
Language:English
Subjects:
Bosons
Closed loops
Coupling
Gauge theory
Hilbert space
Quantum theory
Online Access:Get full text
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Summary:We develop the dual description of \(2+1\) SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons. "Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics more transparent. Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.
ISSN:2331-8422
DOI:10.48550/arxiv.1802.06198