Abelian and non-abelian anomalies in monopole-fermion interactions

Journal Article · Wed Oct 15 04:00:00 EDT 1986 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(86)90003-5· OSTI ID:5081921

Ezawa, Z F

Taking an example of the standard SU(5) theory, the monopole-fermion system is reduced to an effective 2-dimensional model. This is a generalized Schwinger model containing four Abelian gauge fields interacting with N generations of massless fermions through vector and axialvector couplings. We quantize such a system exactly in the canonical operator formalism. Then, analyzing the cluster property of operators carrying various chiral charges, the roles of the Abelian and non-Abelian anomalies are studied in monopole-induced baryon decay. We demonstrate that the Abelian anomaly and the charge-mixing boundary condition are the driving forces for monopole-induced baryon decay, though the conservation law suggest the importance of the non-Abelian anomaly.

• Research Organization: Department of Physics, Tohoku University, Sendai 980, Japan
• OSTI ID: 5081921
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 171:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON NUMBER
BARYONS
BOUNDARY CONDITIONS
CONSERVATION LAWS
COUPLING
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
GRAND UNIFIED THEORY
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONOPOLES
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM OPERATORS
SU GROUPS
SU-5 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES