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@article{Cheamsawat:2019:1361-6382/ab353d,
author = {Cheamsawat, K and Wallis, L and Wiseman, T},
doi = {1361-6382/ab353d},
journal = {Classical and Quantum Gravity},
title = {Free energy dependence on spatial geometry for (2+1)-dimensional QFTs},
url = {http://dx.doi.org/10.1088/1361-6382/ab353d},
volume = {36},
year = {2019}
}

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TY  - JOUR
AB  - We consider (2+1)-QFT at finite temperature on a product of time with astatic spatial geometry. The suitably defined difference of thermal vacuum freeenergy for the QFT on a deformation of flat space from its value on flat spaceis a UV finite quantity, and for reasonable fall-off conditions on thedeformation is IR finite too. For perturbations of flat space we show this freeenergy difference goes quadratically with perturbation amplitude and may becomputed from the linear response of the stress tensor. As an illustration wecompute it for a holographic CFT finding that at any temperature, and for anyperturbation, the free energy decreases. Similar behaviour was previously foundfor free scalars and fermions, and for unitary CFTs at zero temperature,suggesting (2+1)-QFT may generally energetically favour a crumpled spatialgeometry. We also treat the deformation in a hydrostatic small curvatureexpansion relative to the thermal scale. Then the free energy variation isdetermined by a curvature correction to the stress tensor and for thesetheories is negative for small curvature deformations of flat space.
AU  - Cheamsawat,K
AU  - Wallis,L
AU  - Wiseman,T
DO  - 1361-6382/ab353d
PY  - 2019///
SN  - 0264-9381
TI  - Free energy dependence on spatial geometry for (2+1)-dimensional QFTs
T2  - Classical and Quantum Gravity
UR  - http://dx.doi.org/10.1088/1361-6382/ab353d
UR  - http://arxiv.org/abs/1811.05995v1
UR  - http://hdl.handle.net/10044/1/73357
VL  - 36
ER  -

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