Renormalization group analysis of U(2) Gauge theory with 0-Term in 2 dimensions

Masahiro Imachi; Takaaki Kakitsuka; Norimasa Tsuzuki; Hiroshi Yoneyama

doi:10.1143/PTP.97.791

Renormalization group analysis of U(2) Gauge theory with 0-Term in 2 dimensions

Masahiro Imachi, Takaaki Kakitsuka, Norimasa Tsuzuki, Hiroshi Yoneyama

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1 Citation (Scopus)

Abstract

A U(2) lattice gauge theory with 0-term in 2 space-time dimensions is investigated. It has a non-Abelian real action and Abelian ((U(1) type) imaginary action. The imaginary action is defined as the standard 0-term. As the effect of a renormalization group (RG) transformation, the non-Abelian imaginary action is induced. After many steps of the RG transformation, the non-Abelian part dies away. After several steps of the RG transformations, the renormalized action approaches the so-called heat kernel action. A phase transition is found only at 0 = π.

Original language	English
Pages (from-to)	791-808
Number of pages	18
Journal	Progress of Theoretical Physics
Volume	97
Issue number	5
DOIs	https://doi.org/10.1143/PTP.97.791
Publication status	Published - 1997
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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abstract = "A U(2) lattice gauge theory with 0-term in 2 space-time dimensions is investigated. It has a non-Abelian real action and Abelian ((U(1) type) imaginary action. The imaginary action is defined as the standard 0-term. As the effect of a renormalization group (RG) transformation, the non-Abelian imaginary action is induced. After many steps of the RG transformation, the non-Abelian part dies away. After several steps of the RG transformations, the renormalized action approaches the so-called heat kernel action. A phase transition is found only at 0 = π.",

author = "Masahiro Imachi and Takaaki Kakitsuka and Norimasa Tsuzuki and Hiroshi Yoneyama",

year = "1997",

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PY - 1997

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N2 - A U(2) lattice gauge theory with 0-term in 2 space-time dimensions is investigated. It has a non-Abelian real action and Abelian ((U(1) type) imaginary action. The imaginary action is defined as the standard 0-term. As the effect of a renormalization group (RG) transformation, the non-Abelian imaginary action is induced. After many steps of the RG transformation, the non-Abelian part dies away. After several steps of the RG transformations, the renormalized action approaches the so-called heat kernel action. A phase transition is found only at 0 = π.

AB - A U(2) lattice gauge theory with 0-term in 2 space-time dimensions is investigated. It has a non-Abelian real action and Abelian ((U(1) type) imaginary action. The imaginary action is defined as the standard 0-term. As the effect of a renormalization group (RG) transformation, the non-Abelian imaginary action is induced. After many steps of the RG transformation, the non-Abelian part dies away. After several steps of the RG transformations, the renormalized action approaches the so-called heat kernel action. A phase transition is found only at 0 = π.

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Renormalization group analysis of U(2) Gauge theory with 0-Term in 2 dimensions

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