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2016

Florida International University

Gauge fixing

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Full-Text Articles in Physics

Two Dimensional Lattice Gauge Theory With And Without Fermion Content, Dibakar Sigdel Nov 2016

Two Dimensional Lattice Gauge Theory With And Without Fermion Content, Dibakar Sigdel

FIU Electronic Theses and Dissertations

Quantum Chromo Dynamics (QCD) is a relativistic field theory of a non-abelian gauge field coupled to several flavors of fermions. Two dimensional (one space and one time) QCD serves as an interesting toy model that shares several features with the four dimensional physically relevant theory. The main aim of the research is to study two dimensional QCD using the lattice regularization.

Two dimensional QCD without any fermion content is solved analytically using lattice regularization. Explicit expressions for the expectation values of Wilson loops and the correlation of two Polyakov loops oriented in two different directions are obtained. Physics of the …