Chiral anomaly for local boundary conditions

DOI10.1016/j.nuclphysb.2003.11.009zbMath1097.81745arXivhep-th/0309019OpenAlexW1967542544MaRDI QIDQ1418074

Valery N. Marachevsky, Dmitri V. Vassilevich

Publication date: 6 January 2004

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0309019

zbMATH Keywords

heat trace asymptoticsDirac-operator heat kernel expansion

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50)

Related Items (9)

Heat kernel, spectral functions and anomalies in Weyl semimetals ⋮ Index theorems and domain walls ⋮ The number of eigenstates: counting function and heat kernel ⋮ An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions ⋮ Chiral anomaly, induced current, and vacuum polarization tensor for a Dirac field in the presence of a defect ⋮ 't Hooft anomalies and boundaries ⋮ Gravitational parity anomaly with and without boundaries ⋮ Spectral action for torsion with and without boundaries ⋮ Stability theorems for chiral bag boundary conditions

Cites Work

• The spectral geometry of a Riemannian manifold
• Heat kernel expansion: user's manual
• Heat kernel asymptotics with mixed boundary conditions
• Residues of the eta function for an operator of Dirac type with local boundary conditions
• A NOTE ON THE HEAT KERNEL METHOD APPLIED TO FERMIONS
• Spectral asymmetry and Riemannian Geometry. I
• Strong ellipticity and spectral properties of chiral bag boundary conditions
• Vector fields on a disk with mixed boundary conditions
• The Asymptotics of The Laplacian on a Manifold with Boundary
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
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