Family of anomalies in two dimensions in path-integral formulation. I

Journal Article · Fri Feb 15 00:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1346· OSTI ID:5845818

Joglekar, S D; Saini, G ^[1]

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1. Department of Physics, Indian Institute of Technology, Kanpur, Kanpur 208016 India (IN)

We study the regularization of the path integral for a two-dimensional fermionic system in terms of the eigenfunctions and eigenvalues of the operator {ital D}{sub {ital a}}={partial derivative}+{ital ieaA} where {ital a} is a real continuous parameter. We derive the associated Ward-Takahashi identities for the local chiral and vector transformations and obtain expressions for {partial derivative}{sup {mu}}{ital J}{sub {mu}}{sup A} and {partial derivative}{sup {mu}}{ital J}{sub {mu}}{sup {ital V}}. We propose a straightforward regularization that ultimately leads to the family of anomalies in which the parameter appearing in the family of anomalies is related to {ital a}. A comparison with the work of Alfaro, Urrutia, and Vergara is given.

• OSTI ID: 5845818
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 43:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
FEYNMAN PATH INTEGRAL
QUANTUM ELECTRODYNAMICS
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
EIGENFUNCTIONS
EIGENVALUES
FOUR-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VECTOR CURRENTS
WARD IDENTITY
ALGEBRAIC CURRENTS
CURRENTS
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
INTEGRALS
QUANTUM FIELD THEORY
SYMMETRY
645400* - High Energy Physics- Field Theory