Fermionic vacuum polarization by a cylindrical boundary in the cosmic string spacetime
- Departamento de Fisica, Universidade Federal da Paraiba, 58.059-970, Caixa Postal 5.008, Joao Pessoa, PB (Brazil)
- Department of Physics, Yerevan State University, 0025 Yerevan (Armenia)
The vacuum expectation values of the energy-momentum tensor and the fermionic condensate are analyzed for a massive spinor field obeying the MIT bag boundary condition on a cylindrical shell in the cosmic string spacetime. Both regions inside and outside the shell are considered. By applying to the corresponding mode sums a variant of the generalized Abel-Plana formula, we explicitly extract the parts in the expectation values corresponding to the cosmic string geometry without boundaries. In this way the renormalization procedure is reduced to that for the boundary-free cosmic string spacetime. The parts induced by the cylindrical shell are presented in terms of integrals rapidly convergent for points away from the boundary. The behavior of the vacuum densities is investigated in various asymptotic regions of the parameters. In the limit of large values of the planar angle deficit, the boundary-induced expectation values are exponentially suppressed. As a special case, we discuss the fermionic vacuum densities for the cylindrical shell on the background of the Minkowski spacetime.
- OSTI ID:
- 21250938
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 10; Other Information: DOI: 10.1103/PhysRevD.78.105007; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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