Effective Action for Self-Interacting Scalar Field in 3-dimensional Ball

Details Effective Action for Self-Interacting Scalar Field in 3-dimensional Ball Effective Action for Self-Interacting Scalar Field in 3-dimensional Ball

2002-01-15

arxiv.org/abs/hep-th/0201105v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex,7 pages

Scientific paper

In this paper we have considered the renormalized one-loop effective action for massless self-interacting scalar field in the 3-dimensional ball. The scalar field satisfies Dirichlet boundary condition on the ball. Using heat kernel expansion method we calculate the divergent part of effective action, then by bag model renormalization procedure we obtain the renormalized one-loop effective action.

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