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.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)