On partition functions and phases of scalars in AdS
arXiv:2201.09043 · doi:10.1007/JHEP07(2022)089
Abstract
We study the phases of scalar field theories in thermal spaces for . The analysis is done for theories with global symmetry for the finite as well as large . The symmetry-preserving and symmetry-breaking phases are identified as a function of the mass-squared of the scalar field and temperature. On the way we also describe a method for computing one-loop partition function for scalar field on thermal for arbitrary that reproduces results known in the literature. The derivation is based on the method of images and uses the eigenfunctions of the Laplacian on Euclidean .
arXiv comment33+9 pages,v2: published version
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