Applications of the Mellin-Barnes integral representation

Details Applications of the Mellin-Barnes integral representation Applications of the Mellin-Barnes integral representation

1995-01-13

arxiv.org/abs/hep-th/9501048v1

J.Phys.A28:617-630,1995

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTex

Scientific paper

10.1088/0305-4470/28/3/016

We apply the Mellin-Barnes integral representation to several situations of interest in mathematical-physics. At the purely mathematical level, we derive useful asymptotic expansions of different zeta-functions and partition functions. These results are then employed in different topics of quantum field theory, which include the high-temperature expansion of the free energy of a scalar field in ultrastatic curved spacetime, the asymptotics of the $p$-brane density of states, and an explicit approach to the asymptotics of the determinants that appear in string theory.

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