Vacuum Polarization for Varying Quantum Scalar Field Parameters in Schwarzschild–anti–de Sitter Spacetime
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1.1 MATHMATICS, Particles and fields physics
Equipped with new powerful and efficient methods for computing quantum expectation values in static-spherically symmetric spacetimes in arbitrary dimensions, we perform an in-depth investigation of how the quantum vacuum polarization varies with the parameters in the theory. In particular, we compute and compare the vacuum polarization for a quantum scalar field in the Schwarzschild–anti–de Sitter black hole spacetime for a range of values of the field mass and field coupling constant as well as the black hole mass and number of spacetime dimensions. In addition, a new approximation for the vacuum polarization in asymptotically anti–de Sitter black hole spacetimes is presented.
Breen, C. and Taylor, P. (2018) Vacuum polarization for varying quantum scalar field parameters in Schwarzschild–anti–de Sitter spacetime. Physics Review D 98, 105006, (2018). doi:10.1103/PhysRevD.98.105006