Axial gravity: a non-perturbative approach to split anomalies

Abstract

In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this model corresponds to a theory of chiral fermions coupled to (ordinary) gravity. Taking this limit on the two computed trace anomalies we verify that they tend to the same expression, which coincides with the already found odd parity trace anomaly, with the identical coefficient. This confirms our previous results on this issue.

arXiv comment43 pages, some additions in section 6.3 and 6.5 plus minor corrections

References in corpus (13)

• Making Sense of Non-Hermitian Hamiltonians
• Implications of Conformal Invariance in Field Theories for General Dimensions
• Twenty Years of the Weyl Anomaly
• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Pseudo-complex General Relativity
• Trace anomalies in chiral theories revisited
• CP-violating CFT and trace anomaly
• Axial gravity, massless fermions and trace anomalies
• On the trace anomaly of a Weyl fermion
• Renormalization, Conformal Ward Identities and the Origin of a Conformal Anomaly Pole
• A Chiral Solution to the Ginsparg-Wilson Equation
• Pseudo-Complex Field Theory
• A rederivation of the conformal anomaly for spin-1/2

Cited by in corpus (15)

• The General 3-Graviton Vertex ($TTT$) of Conformal Field Theories in Momentum Space in $d=4$
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• On the realization of impossible anomalies
• Axial gravity and anomalies of fermions
• On the trace anomaly of a Weyl fermion in a gauge background
• Trace Anomaly of Weyl Fermions via the Path Integral
• Trace anomaly for chiral fermions via Hadamard subtraction
• Weyl, Pontryagin, Euler, Eguchi and Freund
• CP-violating super Weyl anomaly
• Weyl fermions in a non-abelian gauge background and trace anomalies
• Conformal Contact Terms and Semi-Local Terms
• Elusive anomalies
• Chiral fermions, dimensional regularization, and the trace anomaly
• CP-violating supersymmetry anomaly
• Path integral calculation of heat kernel traces with first order operator insertions