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Vacuum polarization of Dirac fermions in the cosmological de Sitter global monopole spacetime

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We study the vacuum polarisation effects of the Dirac fermionic field induced by a pointlike global monopole located in the cosmological de Sitter spacetime. First we derive the four orthonormal… Click to show full abstract

We study the vacuum polarisation effects of the Dirac fermionic field induced by a pointlike global monopole located in the cosmological de Sitter spacetime. First we derive the four orthonormal Dirac modes in this background in a closed form. Quantising the field using these modes, we then compute the fermionic condensate, h 0 | ΨΨ | 0 i , as well as the vacuum expectation value of the energy-momentum tensor for a massive Dirac field, regularised in a particular way. We have used the Abel-Plana summation formula in order to extract the global monopole contribution to these quantities and have investigated their variations numerically with respect to relevant parameters.

Keywords: global monopole; vacuum; cosmological sitter; monopole; dirac

Journal Title: Physical Review D
Year Published: 2022

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