28 August 2023 to 1 September 2023
Leipzig University
Europe/Berlin timezone

Stress-energy tensor on global anti-de Sitter space-time with Robin boundary conditions

30 Aug 2023, 17:20
20m
Leipzig University

Leipzig University

Faculty of Physics and Earth Sciences Linnéstr. 5 04103 Leipzig
Plenary talk Afternoon session 2

Speaker

siva namasivayam (University of Sheffield)

Description

We study the renormalised stress-energy tensor (RSET) for a massless, conformally
coupled scalar field on four dimensional anti-de Sitter space-time (adS4). As ads4 is
not a globally hyperbolic space-time, we impose boundary conditions on the space-time
boundary to have a well posed quantum field theory. We use Dirichlet, Neumann and
Robin (mixed) boundary conditions applied to the scalar field and compute both the
vacuum (v.e.v.) and thermal (t.e.v.) expectation values of the RSET. When either
Dirichlet or Neumann boundary conditions are applied, the v.e.v of the RSET is a
multiple of the space-time metric. Applying Robin boundary conditions break the underlying symmetry seen with the vacuum state, and results in a RSET that varies with
the space-time position. However, for all Robin boundary conditions, both the v.e.v and
t.e.v. converge, at the space-time boundary, to the common v.e.v.s seen when either
Dirichlet or Neumann boundary conditions are applied.

Primary author

siva namasivayam (University of Sheffield)

Presentation Materials