### 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 |
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Pages (from-to) | 791-808 |

Number of pages | 18 |

Journal | Progress of Theoretical Physics |

Volume | 97 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1997 Jan 1 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## Cite this

Imachi, M., Kakitsuka, T., Tsuzuki, N., & Yoneyama, H. (1997). Renormalization group analysis of U(2) Gauge theory with 0-Term in 2 dimensions.

*Progress of Theoretical Physics*,*97*(5), 791-808. https://doi.org/10.1143/PTP.97.791