The U(1) Problem and Instantons on a Lattice - INSPIRE

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The U(1) Problem and Instantons on a Lattice

Sep 5, 1986

6 pages

Published in:

Phys.Lett.B 184 (1987) 375-380

Published: 1987

DOI:

10.1016/0370-2693(87)90183-3

Report number:

UTHEP-158

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Abstract: (Elsevier)

Taking Wilson fermions for quarks, we derive the spectral representation of the quark propagator and investigate the relation between the spectrum and the topological charge of gauge configuration. Then we calculate the η and π propagators on an 8 3 × 16 lattice and show that topologically non-trivial gauge configurations make the η meson much heavier than the π meson, when the hopping parameter is very close to the critical value.

GAUGE FIELD THEORY: SU(3)
FIELD THEORY: U(1) PROBLEM
FERMION: LATTICE FIELD THEORY
FERMION: PROPAGATOR
EFFECT: INSTANTON
CHARGE: TOPOLOGICAL
ETA: PROPAGATOR
PI: PROPAGATOR
NUMERICAL CALCULATIONS: MONTE CARLO

References(13)

Figures(0)

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