Real Space Renormalization Group Analysis of U(1)-Gauge Theory with theta-term in 2 Dimensions

Details Real Space Renormalization Group Analysis of U(1)-Gauge Theory with theta-term in 2 Dimensions Real Space Renormalization Group Analysis of U(1)-Gauge Theory with theta-term in 2 Dimensions

1994-10-06

arxiv.org/abs/hep-lat/9410003v1

Prog.Theor.Phys. 93 (1995) 161-172

Physics

High Energy Physics

High Energy Physics - Lattice

plaintex 14 pages and 9 figures,( Figures will be sent upon request.)

Scientific paper

10.1143/PTP.93.161

U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory irrespective of bare coupling constants of real action. For $\theta \not= \pi$ the system is in the confinement phase controlled by an infrared fixed point. We found a phase transition at $\theta = \pi$. Imaginary part of the action given by $\theta$-term stays fixed under renormalization group transformations leading to deconfinement.

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