Functional determinants of radial operators in AdS 2

Jeremías Aguilera-Damia, Alberto Faraggi, Leopoldo Pando Zayas, Vimal Rathee, Guillermo A. Silva

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

We study the zeta-function regularization of functional determinants of Laplace and Dirac-type operators in two-dimensional Euclidean AdS2 space. More specifically, we consider the ratio of determinants between an operator in the presence of background fields with circular symmetry and the free operator in which the background fields are absent. By Fourier-transforming the angular dependence, one obtains an infinite number of one-dimensional radial operators, the determinants of which are easy to compute. The summation over modes is then treated with care so as to guarantee that the result coincides with the two-dimensional zeta-function formalism. The method relies on some well-known techniques to compute functional determinants using contour integrals and the construction of the Jost function from scattering theory. Our work generalizes some known results in flat space. The extension to conformal AdS2 geometries is also considered. We provide two examples, one bosonic and one fermionic, borrowed from the spectrum of fluctuations of the holographic 14 -BPS latitude Wilson loop.

Idioma originalInglés
Número de artículo7
PublicaciónJournal of High Energy Physics
Volumen2018
N.º6
DOI
EstadoPublicada - 1 jun 2018

Áreas temáticas de ASJC Scopus

  • Física nuclear y de alta energía

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