Vacuum Polarization in the Point Impurity Background

IF 0.4 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY
Yu. V. Grats, P. A. Spirin
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引用次数: 0

Abstract

The vacuum polarization effect of a massive scalar field \(\phi(x)\) near the point \(\delta\)-like source is considered. The corresponding interaction is introduced within a technique of self-adjoint extension of the Laplace operator. This method has been widely discussed within the framework of quantum mechanics. We propose to use it to investigate vacuum field effects. This approach allows computing the renormalized Hadamard function and the renormalized vacuum energy density \(\langle T_{00}(x)\rangle_{\textrm{ren}}\) for massive real scalar field with minimal curvature coupling. The dependence of the vacuum polarization effect upon the fields’s mass is analyzed.

Abstract Image

点杂质背景下的真空极化
我们考虑了一个大质量标量场(\phi(x)\)在类似于点(\delta\)的源附近的真空极化效应。在拉普拉斯算子的自联合扩展技术中引入了相应的相互作用。这种方法已在量子力学框架内得到广泛讨论。我们建议用它来研究真空场效应。这种方法可以计算具有最小曲率耦合的大质量实标量场的重正化哈达玛函数和重正化真空能量密度(\langle T_{00}(x)\rangle_\textrm{ren}}\ )。分析了真空极化效应对场质量的依赖性。
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来源期刊
Moscow University Physics Bulletin
Moscow University Physics Bulletin PHYSICS, MULTIDISCIPLINARY-
CiteScore
0.70
自引率
0.00%
发文量
129
审稿时长
6-12 weeks
期刊介绍: Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.
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