Chiral symmetry and operator mixing in lattice SU(N) thirring model with shift symmetry

Journal Article · Sat Mar 28 04:00:00 EST 1992 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732392003517· OSTI ID:5196173

Kikukawa, Y ^[1]

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1. Dept. of Physics, Nagoya Univ., Nagoya 464-01 (JP)

In this paper, the authors formulate lattice SU(N) Thirring model in which two Wilson fermions describe the respective left- and right-handed components of the Dirac fermion in the continuum model. Only chirally projected half components of the Wilson fermions have four-fermion interaction. As to their non-interacting components, there exist shift symmetries discussed by Golterman and Petcher. Axial U(1) Ward-Takahashi identity is examined by weak coupling expansion. It is shown in all orders of the weak coupling expansion that the chiral limit is achieved by simply setting fermion bare mass equal to zero, and that a lattice operator has no mixing due to the Wilson masses with the operators of wrong chiral representation and of lower dimensionality.

• OSTI ID: 5196173
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 7:10; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FERMIONS
INTERACTIONS
LIE GROUPS
MASS SPECTRA
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
SERIES EXPANSION
SPECTRA
SU GROUPS
SYMMETRY
SYMMETRY GROUPS
THIRRING MODEL
WAVE EQUATIONS
WEAK-COUPLING MODEL
WILSON LOOP