Instantons and massless fermions in two dimensions
The role of instantons in the breakdown of chiral U(N) symmetry is studied in a two dimensional model. Chiral U(1) is always destroyed by the axial vector anomaly. For N = 2 chiral SU(N) is also spontaneously broken yielding massive fermions and three (decoupled) Goldstone bosons. For N greater than or equal to 3 the fermions remain massless. Realistic four dimensional theories are believed to behave in a similar way but the critical N above which the fermions cease to be massive is not known in four dimensions.
- Research Organization:
- Institute for Advanced Study, Princeton, N.J. (USA); Princeton Univ., N.J. (USA). Joseph Henry Labs.
- DOE Contract Number:
- EY-76-S-02-2220
- OSTI ID:
- 7284867
- Report Number(s):
- COO-2220-110
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GOLDSTONE BOSONS
LIE GROUPS
POSTULATED PARTICLES
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TENSORS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
VECTORS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CHIRAL SYMMETRY
ELEMENTARY PARTICLES
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GOLDSTONE BOSONS
LIE GROUPS
POSTULATED PARTICLES
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TENSORS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
VECTORS