Ground State Energy of Massive Scalar Field in the Background of Finite Thickness Cosmic String

Abstract

We calculate the ground state energy of a massive scalar field in the background of a cosmic string of finite thickness (Gott-Hiscock metric). Using zeta functional regularization we discuss the renormalization and the relevant heat kernel coefficients in detail. The finite (non local) part of the ground state energy is calculated in 2+1 dimensions in the approximation of a small mass density of the string. By a numerical calculation it is shown to vanish as a function of the radius of the string and of the parameter $\xi$ of the nonconformal coupling.

23 pages, Latex, 3 figures, subm. to Phys. Rev. D

References in corpus (5)

• Cosmic strings
• Casimir energies for massive fields in the bag
• The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic Strings
• Vacuum energy in a spherically symmetric background field
• Vanishing of Gravitational Particle Production in the Formation of Cosmic Strings

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