Surface states and chiral symmetry on the lattice

Journal Article · Mon Aug 01 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.2297· OSTI ID:7025810

Creutz, M ^[1]; Horvath, I ^[2]

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1. Physics Department, Brookhaven National Laboratory, P.O. Box 5000, Upton, New York 11973-5000 (United States)
2. Physics Department, Brookhaven National Laboratory, P.O. Box 5000, Upton, New York 11973-5000 (United States) Physics Department, University of Rochester, Rochester, New York 14627 (United States)

In a Hamiltonian formalism we study chiral symmetry for lattice fermions formulated in terms of Shockley surface states bound to a wall in an extra spatial dimension. For hadronic physics this provides a natural scheme for taking quark masses to zero without requiring a precise tuning of parameters. We illustrate the chiral anomaly as a flow of states in this extra dimension. We discuss two alternatives for extending the picture to a chiral coupling of gauge fields to such fermions: one with a small explicit breaking of gauge symmetry and one with heavy mirror fermions.

• OSTI ID: 7025810
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:3; ISSN PRVDAQ; ISSN 0556-2821
• 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
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
HAMILTONIANS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MASS
MATHEMATICAL OPERATORS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKS
SYMMETRY
SYMMETRY BREAKING