Ground state energy and topological mass in spacetimes with nontrivial topology

Author:

Porfírio Paulo J.1,Mota Herondy F. Santana1,Garcia Gabriel Queiroz2

Affiliation:

1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970, João Pessoa, Paraíba, Brazil

2. Unidade Acadêmica de Física, Universidade Federal de Campina Grande, 58429-900, Caixa Postal 10071, Campina Grande, PB, Brazil

Abstract

In this paper, we study the ground state energy of a massless scalar field and generation of topological mass by considering a quasi-periodically identified Minkowski spacetime and the “half-Einstein universe”, that is, an Einstein universe where the massless scalar field satisfies the Dirichlet boundary condition. The analysis is performed considering one and two-loop contributions to the effective potential in both cases. We also compare our results with earlier studies.

Funder

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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