Hadamard renormalized scalar field theory on anti-de Sitter space-time

Abstract

We consider a real massive free quantum scalar field with arbitrary curvature coupling on $n$-dimensional anti-de Sitter space-time. We use Hadamard renormalization to find the vacuum expectation values of the quadratic field fluctuations and the stress-energy tensor, presenting explicit results for $n=2$ to $n=11$ inclusive.

Version accepted for publication in Physical Review D, 26 pages, 5 figures

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• Vacuum fermionic currents in braneworld models on AdS bulk with a cosmic string
• Quantum vacuum effects in braneworlds on AdS bulk
• Boundary conditions and renormalized stress-energy tensor on a Poincaré patch of ${\text{AdS}}_2$
• Vacuum polarization on three-dimensional anti-de Sitter space-time with Robin boundary conditions
• Renormalisation in maximally symmetric spaces and semiclassical gravity in Anti-de Sitter spacetime
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time