The U(1) Problem on a Lattice. 1. Strong Coupling Limit
Oct, 198536 pages
Published in:
- Phys.Rev.D 33 (1986) 2399
Report number:
- UT-460-TOKYO
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Abstract: (APS)
We investigate the mass difference between the π and η mesons by using lattice QCD with the Wilson fermion formulation. The calculation of the effective potential is done by the 1/N expansion in the strong-coupling limit. From a tree-level analysis of the effective potential we obtain the result that there is no mass difference in the parity-conserving phase to all orders in the 1/N expansion and that there exists a mass difference in the parity-violating phase.- FERMION: LATTICE FIELD THEORY
- GAUGE FIELD THEORY: U(N)
- GAUGE FIELD THEORY: U(1) PROBLEM
- EXPANSION 1/N
- APPROXIMATION: STRONG COUPLING
- STRONG COUPLING: APPROXIMATION
- MASS DIFFERENCE: (ETA PI)
- (ETA PI): MASS DIFFERENCE
- GAUGE FIELD THEORY: VACUUM STATE
- APPROXIMATION: EFFECTIVE POTENTIAL
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