Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background

Details Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background

2000-12-29

arxiv.org/abs/hep-th/0012264v1

J.Math.Phys.42:562-581,2001

Physics

High Energy Physics

High Energy Physics - Theory

30 pages and 2 figures. LATEX file

Scientific paper

10.1063/1.1333699

Using the zeta function regularization method we calculate the ground state energy of scalar massive field inside a spherical region in the space-time of a point-like global monopole. Two cases are investigated: (i) We calculate the Casimir energy inside a sphere of radius $R$ and make an analytical analysis about it. We observe that this energy may be positive or negative depending on metric coefficient $\alpha$ and non-conformal coupling $\xi$. In the limit $R\to\infty$ we found a zero result. (ii) In the second model we surround the monopole by additional sphere of radius $r_0

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