CHIRAL ANOMALY IN ASHTEKAR'S APPROACH TO CANONICAL GRAVITY

DOI10.1142/S021827189800036XzbMath0986.81098MaRDI QIDQ4936991

Eckehard W. Mielke, Dirk Kreimer

Publication date: 2 February 2000

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

zbMATH Keywords

quantum gravitychiral anomalyDirac equationcosmic stringsRiemann-Cartan spacetimes

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Anomalies in quantum field theory (81T50) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (3)

Anomaly-free solution of the Ashtekar constraints for the teleparallelism equivalent of gravity ⋮ Chern-Simons solutions of the chiral teleparallelism constraints of gravity ⋮ Strings in gravity with torsion

Cites Work

• Hamiltonian interpretation of anomalies
• A spinning string
• Fermionic zero-modes around string solitons
• Anomaly-free formulation of non-perturbative, four-dimensional Lorentzian quantum gravity
• Nonlinear gauge realization of spacetime symmetries including translations
• Topological and geometrical phases due to gravitational field with curvature and torsion
• An identity in Riemann–Cartan geometry
• Chern–Simons terms in metric-affine space-time: Bianchi identities as Euler–Lagrange equations
• Conical singularities and torsion
• Spinning strings as torsion line spacetime defects
• Poincaré gauge invariance and gravitation in Minkowski spacetime
• Evaluation of the heat kernel in Riemann - Cartan space

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