Ambiguities of the chiral-anomaly graph in higher dimensions

Journal Article · Thu May 15 00:00:00 EDT 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.3090· OSTI ID:5764419

Chowdhury, A M; McKeon, D G.C.; Mann, R B

We compute vector-current and axial-vector-current divergence relations for the chiral-anomaly graph in 2n dimensions. We demonstrate that ambiguities arising from (i) arbitrariness in the routing of loop momenta in 2n-dimensional Feynman integrals, (ii) arbitrariness associated with the location of ..gamma../sup 2n/+1 within ..gamma..-matrix traces in dimensional regularization, and (iii) arbitrariness associated with the ordering of matrices within traces in dimensional reduction all lead to equivalent relations between vector-current and axial-vector-current divergences in the absence of externally imposed constraints of vector-current conservation and Bose symmetry. The anomaly is shown to reside in an alternating sum of current divergences. We also show that further ambiguities, associated with the projection of less-than-2n-dimensional momenta onto 2n-dimensional ..gamma.. matrices, occur within dimensional reduction.

• Research Organization: Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B9
• OSTI ID: 5764419
• Journal Information: Phys. Rev. D; (United States), Vol. 33:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
CHIRAL SYMMETRY
MANY-DIMENSIONAL CALCULATIONS
VECTOR CURRENTS
FEYNMAN DIAGRAM
GREEN FUNCTION
PROPAGATOR
SPACE-TIME
ALGEBRAIC CURRENTS
CURRENTS
DIAGRAMS
FUNCTIONS
SYMMETRY
645301* - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987)
645400 - High Energy Physics- Field Theory