Origin of anomalies in the path-integral formalism

Journal Article · Wed Nov 15 04:00:00 EST 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.3543· OSTI ID:5218010

Tsutsui, I ^[1]

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1. II. Institut fuer Theoretische Physik der Universitaet Hamburg, D-2000 Hamburg 50, Federal Republic of Germany (DE)

We show that, in the path-integral formalism, anomalies can arise from the discrepancy between classical field equations and quantum field equations. With a suitable regularization for the functional derivative, this discrepancy leads to an expression identical to that obtained from Fujikawa's anomalous Jacobian, for the U(1) and the non-Abelian anomalies, respectively. This approach provides an alternative interpretation for the origin of anomalies in the path-integral formalism, which is more closely related to the conventional one in the operator formalism.

• OSTI ID: 5218010
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EIGENFUNCTIONS
ENERGY-MOMENTUM TENSOR
EQUATIONS
FERMIONS
FEYNMAN PATH INTEGRAL
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
INTEGRALS
LAGRANGIAN FUNCTION
LIE GROUPS
SYMMETRY GROUPS
TENSORS
U GROUPS
U-1 GROUPS
VARIATIONAL METHODS
YANG-MILLS THEORY