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arXiv · hep-lat/9410003

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

Ahmed Sayed HASSAN·Masahiro IMACHI·Hiroshi YONEYAMA
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Abstract

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

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Ahmed Sayed HASSAN, Masahiro IMACHI, Hiroshi YONEYAMA. 1994-10-06. Real Space Renormalization Group Analysis of U(1)-Gauge Theory with theta-term in 2 Dimensions. https://doi.org/10.1143/ptp%2F93.1.161

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