The Dirac operator and gravitation
From MaRDI portal
Publication:1344272
DOI10.1007/BF02099890zbMath0823.58046MaRDI QIDQ1344272
Publication date: 24 October 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of global analysis to the sciences (58Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Einstein-Maxwell equations (83C22)
Related Items (81)
ON THE SINGULARITIES OF THE ZETA AND ETA FUNCTIONS OF AN ELLIPTIC OPERATOR ⋮ Dirac-Witten operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary ⋮ The general Kastler-Kalau-Walze type theorems about Witten deformation ⋮ Twisted Dirac operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary ⋮ The Einstein–Hilbert–Yang–Mills–Higgs action and the Dirac–Yukawa operator ⋮ Anomalies and analytic torsion on hyperbolic manifolds ⋮ Spectral action for Bianchi type-IX cosmological models ⋮ The Kastler-Kalau-Walze type theorem about Witten deformation for manifolds with boundary ⋮ A construction of critical GJMS operators using Wodzicki's residue ⋮ Twisted Dirac operators and the noncommutative residue for manifolds with boundary ⋮ Spectral functions of subordinate Brownian motion on closed manifolds: ⋮ Inner fluctuations of the spectral action ⋮ A Kastler-Kalau-Walze type theorem for 7-dimensional spin manifolds with boundary about Dirac operators with torsion ⋮ The operator \(\sqrt{-1}\widehat{c}(V)(d+\delta)\) and the Kastler-Kalau-Walze type theorems ⋮ Differential forms and the noncommutative residue for manifolds with boundary in the non-product case ⋮ Hamilton formalism in non-commutative geometry ⋮ Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups ⋮ Spontaneous symmetry breaking and geometry from the spectral viewpoint ⋮ A generalized Lichnerowicz formula, the Wodzicki residue and gravity ⋮ Yang-Mills-Higgs versus Connes-Lott ⋮ Gravity and the noncommutative residue for manifolds with boundary ⋮ Spectral triples and manifolds with boundary ⋮ Nonminimal de Rham-Hodge operators and non-commutative residue ⋮ The Kastler-Kalau-Walze type theorems for the perturbation of the de Rham Hodge operator ⋮ Sub-signature operators and the Kastler-Kalau-Walze type theorem for five dimensional manifolds with boundary ⋮ The spectral Einstein functional and Kastler-Kalau-Walze type theorems ⋮ Statistical de Rham Hodge operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary ⋮ Dirac operators with torsion, spectral Einstein functionals and the noncommutative residue ⋮ EXTENDED CHAMSEDDINE–FRÖHLICH APPROACH TO NONCOMMUTATIVE GEOMETRY AND THE TWO-DOUBLETS HIGGS MODEL ⋮ Spectral action for scalar perturbations of Dirac operators ⋮ Spectral metric and Einstein functionals ⋮ A Kastler-Kalau-Walze type theorem for the \(J\)-twist \(D_J\) of the Dirac operator ⋮ Thermal time as an unsharp observable ⋮ Twisted Dirac operators and general Kastler-Kalau-Walze type theorems for manifolds with boundary ⋮ The J-twist DJ of the Dirac operator and the Kastler–Kalau–Walze type theorem for six-dimensional manifolds with boundary ⋮ The Dabrowski-Sitarz-Zalecki type theorems for six dimensional manifolds with boundary ⋮ A note on traces of conformal twisted signature operators ⋮ Wodzicki residue for operators on manifolds with cylindrical ends ⋮ The gravitational sector in the Connes–Lott formulation of the standard model ⋮ An equivariant Kastler–Kalau–Walze type theorem ⋮ Dirac operators with torsion and the noncommutative residue for manifolds with boundary ⋮ A Kastler-Kalau-Walze type theorem for 7-dimensional manifolds with boundary ⋮ General Kastler–Kalau–Walze type theorems for manifolds with boundary II ⋮ A Kastler-Kalau-Walze type theorem and the spectral action for perturbations of Dirac operators on manifolds with boundary ⋮ On non-commutative geodesic motion ⋮ Advances in Dixmier traces and applications ⋮ The noncommutative residue about Witten deformation ⋮ Noncommutative residue and sub-Dirac operators for foliations ⋮ Noncommutative residue for Heisenberg manifolds. Applications in CR and contact geometry ⋮ Gravity, non-commutative geometry, and the Wodzicki residue ⋮ A short survey of noncommutative geometry ⋮ Noncommutative geometry and fundamental physical interactions: The Lagrangian level—Historical sketch and description of the present situation ⋮ Gravity coupled with matter and the foundation of non-commutative geometry ⋮ On almost commutative Friedmann–Lemaître–Robertson–Walker geometries ⋮ Noncommutative geometry and lower dimensional volumes in Riemannian geometry ⋮ Exact solutions with noncommutative symmetries in Einstein and gauge gravity ⋮ A note on the Einstein-Hilbert action and Dirac operators on \({\mathbb{R}^n}\) ⋮ Non-abelian gauge symmetry for fields in phase space: a realization of the Seiberg-Witten non-abelian gauge theory ⋮ Differential forms and the Wodzicki residue for manifolds with boundary. ⋮ Adiabatic limits, vanishing theorems and the noncommutative residue ⋮ COMMUTATIVE GEOMETRIES ARE SPIN MANIFOLDS ⋮ Tadpoles and commutative spectral triples ⋮ Gravity, Robertson-Walker metric and the Wodzicki residue ⋮ Exact noncommutative two-dimensional hydrogen atom ⋮ Operator Product on Locally Symmetric Spaces of Rank One and the Multiplicative Anomaly ⋮ Modified Novikov operators and the Kastler-Kalau-Walze-type theorem for manifolds with boundary ⋮ A Kastler-Kalau-Walze Type Theorem for 7-dimensional Manifolds with Boundary about Witten deformation ⋮ HEAT KERNEL ASYMPTOTICS FOR ROOTS OF GENERALIZED LAPLACIANS ⋮ Sub-signature operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary ⋮ A note on the Wodzicki residue ⋮ Zeta functions on a product of Einstein manifolds, and the multiplicative anomaly ⋮ SPECTRAL ASYMMETRY, ZETA FUNCTIONS, AND THE NONCOMMUTATIVE RESIDUE ⋮ A nonperturbative form of the spectral action principle in noncommutative geometry ⋮ Observables of Euclidean Supergravity ⋮ General Relativity in Terms of Dirac Eigenvalues ⋮ Spectral Noncommutative Geometry and Quantization ⋮ The Kastler-Kalau-Walze type theorem for six-dimensional manifolds with boundary ⋮ On noncommutative and pseudo-Riemannian geometry ⋮ A Kastler–Kalau–Walze type theorem for five-dimensional manifolds with boundary ⋮ Nonminimal operators and non-commutative residue ⋮ Spectral triples and differential calculi related to the Kronecker foliation
Cites Work
This page was built for publication: The Dirac operator and gravitation
