Vacuum polarization effects of pointlike impurityстатья
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Дата последнего поиска статьи во внешних источниках: 12 марта 2025 г.
Аннотация:We develop precise formulation for the effects of vacuum polarization near a pointlike source with a zero-range (δ-like) potential in three spatial dimensions. There are different ways of introducing δ-interaction in the framework of quantum theory. We discuss the approach based on the concept of self-adjoint extensions of densely defined symmetric operators. Within this approach, we consider the real massive scalar field in three-dimensional Euclidean space with a single extracted point. Appropriate boundary conditions, imposed at this point, enable one to consider all self-adjoint extensions of −Δ as operators which can describe a pointlike source with a zero-range potential. In this framework, we compute the renormalized vacuum expectation value of the field square and the renormalized vacuum average of the scalar-field’s energy-momentum tensor. Asymptotic cases are discussed in detail.