Ground State for the Klein-Gordon field in anti-de Sitter spacetime with dynamical Wentzell boundary conditions
Claudio Dappiaggi,
Benito A. Juárez-Aubry,
Alessio Marta
Abstract:We consider a real Klein-Gordon field in the Poincaré patch of (d+1)-dimensional anti-de Sitter spacetime, PAdS d+1 , and impose dynamical boundary condition on the asymptotic boundary of PAdS d+1 that depend explicitly on the second time derivative of the field at the boundary. These boundary conditions are of generalized Wentzell type. We construct the Wightman twopoint function for the ground state of the Klein-Gordon theory whenever the parameters of the theory (the field mass, curvature coupling and bound… Show more
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