Effective potential and stability of the rigid membrane

Details Effective potential and stability of the rigid membrane Effective potential and stability of the rigid membrane

1992-05-15

arxiv.org/abs/hep-th/9205050v1

Phys.Rev.D47:2497-2503,1993

Physics

High Energy Physics

High Energy Physics - Theory

15 PAGES

Scientific paper

10.1103/PhysRevD.47.2497

The calculation of the effective potential for fixed-end and toroidal rigid $p$-branes is performed in the one-loop as well as in the $1/d$ approximations. The analysis of the involved zeta-functions (of inhomogeneous Epstein type) which appear in the process of regularization is done in full detail. Assymptotic formulas (allowing only for exponentially decreasing errors of order $\leq 10^{-3}$) are found which carry all the dependences on the basic parameters of the theory explicitly. The behaviour of the effective potential (specified to the membrane case $p=2$) is investigated, and the extrema of this effective potential are obtained.

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