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

Autor(es)

Pitelli, Joao Paulo M. ; Barroso, Vitor S. ; Mosna, Ricardo A.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW D; v. 99, n. 12, p. 7-pg., 2019-06-17.

Resumo

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)

• Processo FAPESP: 13/09357-9 - Física e geometria do espaço-tempo
• Beneficiário: Alberto Vazquez Saa
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 18/09575-0 - Flutuações do vácuo em espaços-tempos não-globalmente hiperbólicos
• Beneficiário: Vitor Barroso Silveira
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Mestrado
• Processo FAPESP: 18/01558-9 - Teoria de Campos em Espaços Nao-Globalmente Hiperbólicos: Os Efeitos Físicos das Condições de Contorno
• Beneficiário: João Paulo Pitelli Manoel
• Modalidade de apoio: Bolsas no Exterior - Pesquisa