A computation of the equivariant index of the Dirac operator
A fundamental geometry of quantum physics.
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept
Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation (Hawking...
Bianchi identities, Yang-Mills and Higgs field produced on -deformed bundle.
Champs de spin et relativité générale
Conformal Killing-Yano tensors on manifolds with mixed 3-structures.
Covariant approach of the dynamics of particles in external gauge fields, Killing tensors and quantum gravitational anomalies.
Dirac field on newtonian space-time
Electronic properties of disclinated nanostructured cylinders
The electronic structure of the nanocylinder is investigated. Two cases of this kind of the nanostructure are explored: the defect-free nanocylinder and the nanocylinder whose geometry is perturbed by 2 heptagonal defects lying on the opposite sides. The characteristic quantity which is of our interest is the local density of states. To calculate it, the continuum gauge field-theory model will be used. In this model, the Dirac-like equation is solved on a curved surface. This procedure was used...
Erratum : “Global properties of vacuum states in de Sitter space”
Factorisation of generalised theta functions. I.
Fermion on curved spaces, symmetries, and quantum anomalies.
Field theory on curved noncommutative spacetimes.
Global properties of vacuum states in de Sitter space
Global Waves with Non-Positive Energy in General Relativity
2000 Mathematics Subject Classification: 35Lxx, 35Pxx, 81Uxx, 83Cxx.The theory of the waves equations has a long history since M. Riesz and J. Hadamard. It is impossible to cite all the important results in the area, but we mention the authors related with our work: J. Leray [34] and Y. Choquet-Bruhat [9] (Cauchy problem), P. Lax and R. Phillips [33] (scattering theory for a compactly supported perturbation), L. H¨ ormander [27] and J-M. Bony [7] (microlocal analysis). In all these domains, V. Petkov has...
Integrable string models in terms of chiral invariants of groups.
Klein Paradox and Superradiance for the charged Klein-Gordon Field
Kreĭn spaces in de Sitter quantum theories.
Lorentz-invariant quantum fields in the space-time tangent bundle.
New results on de Sitter quantum field theory