Phase Structures of U(2) Gauge Theory with $θ$-Term in 2 dimensions

Details Phase Structures of U(2) Gauge Theory with $θ$-Term in 2 dimensions Phase Structures of U(2) Gauge Theory with $θ$-Term in 2 dimensions

1997-02-24

arxiv.org/abs/hep-lat/9702018v1

Physics

High Energy Physics

High Energy Physics - Lattice

Plain tex, 20pages with 10figures

Scientific paper

U(2) lattice gauge theory with $\theta$-term in 2 space-time dimensions is investigated. It has non-Abelian real action and Abelian( U(1) type) imaginary action. The imaginary action is defined as the standard $\theta$-term. As the effect of renormalization group (RG) transformation, non-Abelian imaginary action is induced. After many steps of RG transformation, non-Abelian part will die away. After several steps of RG transformations, renormalized action approaches so called heat kernel action. Phase transition is found at $\theta =\pi$ only.

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