Functional integration on two-dimensional Regge geometries

DOI10.1016/0550-3213(96)00260-XzbMath0925.83008arXivhep-th/9602002OpenAlexW2090275470MaRDI QIDQ1921038

Pietro Menotti, Pier Paolo Peirano

Publication date: 12 August 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9602002

zbMATH Keywords

continuum limitdiscretized sphere topologyexact Liouville action expressionexact translational invarianceRiemann Roch relationunique Lichnerowicz operator extension

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27)

Related Items

Gauge invariance in simplicial gravity ⋮ Diffeomorphism invariant measure for finite-dimensional geometries ⋮ Discrete approaches to quantum gravity in four dimensions ⋮ Loop quantum gravity à la Aharonov-Bohm ⋮ The perturbative Regge-calculus regime of loop quantum gravity ⋮ Recent progress in Regge calculus ⋮ Functional integration for Regge gravity ⋮ On the Faddeev-Popov determinant in Regge calculus ⋮ SIMPLICIAL QUANTUM GRAVITY ON A RANDOMLY TRIANGULATED SPHERE ⋮ Super-Liouville action for Regge surfaces

Cites Work

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• Spectral geometry of singular Riemannian spaces
• Deformations of complex structures and conformal field theories on Riemann surfaces
• Functional integration for Regge gravity