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

E. R. Bezerra de Mello·V. B. Bezerra·N. R. Khusnutdinov
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Abstract

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 $α$ and non-conformal coupling $ξ$. 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 $r_0<R$ and consider scalar field confined in the region between these two spheres. In the latter, the ground state energy presents an additional contribution due to boundary at $r_0$ which is divergent for small radius. Additional comments about renormalization are considered.

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E. R. Bezerra de Mello, V. B. Bezerra, N. R. Khusnutdinov. 2000-12-29. Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background. https://doi.org/10.1063/1.1333699

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