Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary conditions and renormalized stress-energy tensor on a
  Poincar\'e patch of $\textrm{AdS}_2$   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 Poincar\'e patch of
$\text{AdS}_2$ 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 $\textrm{AdS}$ invariance. As a result, $\langle\phi^2\rangle$
acquires a space dependence and $\langle T_{\mu\nu}\rangle$ 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 $\beta=\infty$ 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.

3
The categories of this paper are: physics
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: astro-ph