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Finite temperature effective potential on hyperbolic spacetimes
Guido Cognola, Klaus Kirsten, Luciano Vanzo +1
The finite temperature one-loop effective potential for a scalar field defined on an ultrastatic spacetime, whose spatial part is a compact hyperbolic manifold, is studied. Differe…
Mellin-Barnes Representation for the Genus-g Finite Temperature String Theory
A. A. Bytsenko, E. Elizalde, S. D. Odintsov +1
The Mellin-Barnes representation for the free energy of the genus- string is constructed. It is shown that the interactions of the open bosonic string do not modify the critical…
Mellin Transform Techniques for Zeta-Function Resummations
E. Elizalde, S. Leseduarte, S. Zerbini
Making use of inverse Mellin transform techniques for analytical continuation, an elegant proof and an extension of the zeta function regularization theorem is obtained. No series…
One-loop effective potential on hyperbolic manifolds
Guido Cognola, Klaus Kirsten, Sergio Zerbini
The one-loop effective potential for a scalar field defined on an ultrastatic space-time whose spatial part is a compact hyperbolic manifold, is studied using zeta-function regular…