Global chiral-invariant formulation of lattice gauge theory

Journal Article · Fri Dec 15 00:00:00 EST 1989 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.4123· OSTI ID:7165627

Alonso, J ^[1]; Boucaud, P ^[2]; Cortes, J; Rivas, E ^[1]

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1. Departemento de Fisica Teorica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain (ES)
2. Laboratoire de Physique Theorique et Hautes Energies, Universite de Paris XI, Batiment 211, 91405 Orsay CEDEX, France (FR)

A global chiral-invariant lattice fermionic action which solves the species-doubling problem of free Dirac fermions on a lattice for (even) dimensions of space-time less than 8 is systematically studied in perturbation theory in two space-time dimensions when a gauge interaction is present. The decoupling of the replica fermions requires one to give up gauge symmetry for a finite lattice spacing but the quantum continuum limit is gauge invariant and reproduces the results of the continuum Schwinger model with one flavor.

• OSTI ID: 7165627
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 40:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
CHIRAL SYMMETRY
AXIAL-VECTOR CURRENTS
DIRAC EQUATION
FERMIONS
GAUGE INVARIANCE
PERTURBATION THEORY
PROPAGATOR
SPACE-TIME
STANDARD MODEL
SYMMETRY BREAKING
ALGEBRAIC CURRENTS
CURRENTS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY
UNIFIED GAUGE MODELS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
645300 - High Energy Physics- Particle Invariance Principles & Symmetries