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Hadamard states for linearized gravity on asymptotically flat spacetimes
Christian Gérard, Mikhail Molodyk, Michał Wrochna
We consider the quantization of linearized Einstein equations on 4-dimensional asymptotically flat spacetimes. We prove the existence of fully gauge invariant Hadamard states in th…
IR-fixed Euclidean vacuum for linearized gravity on de Sitter space
Christian Gérard, Michał Wrochna
We consider the Euclidean vacuum for linearized gravity on the global de Sitter space, obtained from the Euclidean Green's function on the 4-sphere. We use the notion of Calderón p…
Hadamard states for linearized gravity on spacetimes with compact Cauchy surfaces
Christian Gérard
We consider the quantization of linearized Einstein equations. We prove the existence of Hadamard states in the harmonic gauge on any Einstein spacetime with compact Cauchy surface…
Hadamard states for the linearized Yang-Mills equation on curved spacetime
Christian Gérard, Michal Wrochna
We construct Hadamard states for the Yang-Mills equation linearized around a smooth, space-compact background solution. We assume the spacetime is globally hyperbolic and its Cauch…