Abstract
The effects of vacuum polarization for a massless scalar field φ(x) in the vicinity of a pointlike source that has a zero-range potential are analyzed in four-dimensional Minkowski space. An exact expression for the regularized scalar-field Hadamard function is obtained by means of the technique of self-adjoint extensions, and the renormalized vacuum expectation values of the scalar field squared, ⟨φ2 (x)⟩ren, and of the operator of the scalar-field energy—momentum tensor, ⟨Tμν(x)⟩ren, are calculated.
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Acknowledgements
I am grateful to A.V. Borisov for a discussion on the results obtained in the present study and for enlightening comments.
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Grats, Y.V. Vacuum Polarization in a Zero-Range Potential Field. Phys. Atom. Nuclei 82, 153–157 (2019). https://doi.org/10.1134/S106377881902008X
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DOI: https://doi.org/10.1134/S106377881902008X