zeta. -function regularization of chiral Jacobians for singular Dirac operators

Journal Article · Fri Dec 15 04:00:00 EST 1989 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.4105· OSTI ID:7165668

Carneiro, C E.I. ^[1]; Dias, S A ^[2]; Thomaz, M T ^[3]

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1. Instituto de Fisica, Universidade de Sao Paulo, Caixa Postal 20516, 01498 Sao Paulo, Sao Paulo, Brazil (BR)
2. Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Siguad, 150, 22290, Rio de Janeiro, Rio de Janeiro, Brazil (BR)
3. Instituto de Fisica, Universidade Federal Fluminense, Outeiro de Sao Joao Batista 24020, Niteroi, Rio de Janeiro, Brazil (BR)

We propose a definition of the chiral Jacobian which uses the invariance of the generating functional under chiral rotations. This definition takes into account the contributions of all terms which, after rotation, depend on the chiral parameter {alpha}. We show that when the Dirac operator has zero eigenvalues the presence of fermionic sources gives an additional dependence on {alpha}. Our definition, by considering this {alpha} dependence, reconciles the {zeta}-function method of calculating chiral Jacobians with Fujikawa's.

• OSTI ID: 7165668
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 40:12; 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
CHIRALITY
DIRAC OPERATORS
EIGENFUNCTIONS
EIGENVALUES
EUCLIDEAN SPACE
FERMIONS
FIELD THEORIES
FUNCTIONS
JACOBIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLE PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RIEMANN SPACE
SPACE