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19932026
most citedHeat-kernel coefficients of the Laplace operator on the D-dimensional ball

224 citations

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37 papers · 1 filter

hep-th1996★ 198 cited

Casimir energies for massive fields in the bag

M. Bordag, K. Kirsten, E. Elizalde +1

The Casimir energy corresponding to a massive scalar field with Dirichlet boundary conditions on a spherical bag is obtained. The field is considered, separately, inside and outsid…

hep-th1996★ 17 cited

Effective potential for a covariantly constant gauge field in curved spacetime

Emilio Elizalde, Sergei D. Odintsov, August Romeo

We discuss the influence of gravitational effects on the stabilization of the chromomagnetic vacuum. The one-loop effective potential for a covariantly constant SU(2) gauge field i…

hep-th1996★ 1 cited

The Gross-Neveu model on a sphere with a magnetic monopole

E. Elizalde, S. Naftulin, S. D. Odintsov

We study, for the first time, the phase structure of the Gross--Neveu model with a combination of a (constant) gravitational and a magnetic field. This has been made possible by ou…

hep-th1996★ 87 cited

Complete zeta-function approach to the electromagnetic Casimir effect for spheres and circles

S. Leseduarte, August Romeo

A technique for evaluating the electromagnetic Casimir energy in situations involving spherical or circular boundaries is presented. Zeta function regularization is unambiguously u…

hep-th1996★ 36 cited

Antisymmetric tensor fields on spheres: functional determinants and non--local counterterms

E. Elizalde, M. Lygren, D. V. Vassilevich

The Hodge--de Rham Laplacian on spheres acting on antisymmetric tensor fields is considered. Explicit expressions for the spectrum are derived in a quite direct way, confirming pre…

hep-th1996★ 2 cited

The renormalization group and spontaneous compactification of a higher-dimensional scalar field theory in curved spacetime

E. Elizalde, R. Kantowski, S. D. Odintsov

The renormalization group (RG) is used to study the asymptotically free -theory in curved spacetime. Several forms of the RG equations for the effective potential are formul…