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Boundary conditions and renormalized stress-energy tensor on a Poincare patch of AdS(2)

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Author(s):
Pitelli, Joao Paulo M. ; Barroso, Vitor S. ; Mosna, Ricardo A.
Total Authors: 3
Document type: Journal article
Source: PHYSICAL REVIEW D; v. 99, n. 12, p. 7-pg., 2019-06-17.
Abstract

Quantum field theory on anti-de Sitter spacetime requires the introduction of boundary conditions at its conformal boundary, due essentially to the absence of global hyperbolicity. Here we calculate the renormalized stress-energy tensor T-mu nu for a scalar field phi on the Poincare patch of AdS(2) and study how it depends on those boundary conditions. We show that, except for the Dirichlet and Neumann cases, the boundary conditions break the maximal AdS invariance. As a result, <phi(2)> acquires a space dependence and < T-mu nu > is no longer proportional to the metric. When the physical quantities are expanded in a parameter beta which characterizes the boundary conditions (with beta = 0 corresponding to Dirichlet and beta = infinity corresponding to Neumann), the singularity of the Green's function is entirely subtracted at zeroth order in beta. As a result, the contribution of nontrivial boundary conditions to the stress-energy tensor is free of singular terms. (AU)

FAPESP's process: 13/09357-9 - Physics and geometry of spacetime
Grantee:Alberto Vazquez Saa
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/09575-0 - Vacuum Fluctuations in non-globally hyperbolic spacetimes
Grantee:Vitor Barroso Silveira
Support Opportunities: Scholarships abroad - Research Internship - Master's degree
FAPESP's process: 18/01558-9 - Quantum Field Theory on Non-Globally-Hyperbolic Spacetimes: The Physical Effects of the Boundary Conditions
Grantee:João Paulo Pitelli Manoel
Support Opportunities: Scholarships abroad - Research