Free and self-interacting scalar fields in the presence of conical singularities

Abstract

Free and self-interacting scalar fields in the presence of conical singularities are analized in some detail. The role of such a kind of singularities on free and vacuum energy and also on the one-loop effective action is pointed out using $\zeta$-function regularization and heat-kernel techniques.

20 Pages, RevTex, UTF300

References in corpus (7)

• Zeta Functions and the Casimir Energy
• On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
• Vacuum energy on orbifold factors of spheres
• Effective Lagrangian for self-interacting scalar field theories in curved spacetime
• Finite-Temperature Scalar Field Theory in Static de Sitter Space
• Finite Size Effects from General Covariance and Weyl Anomaly
• One-loop effective potential on hyperbolic manifolds

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