Vacuum Polarization in a Zero-Range Potential Field

被引：7
作者：
Grats, Yu. V. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
来源：
PHYSICS OF ATOMIC NUCLEI | 2019年 / 82卷 / 02期
关键词：
ENERGY;
D O I：
10.1134/S106377881902008X
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The effects of vacuum polarization for a massless scalar field phi(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, phi(2) (x)(ren), and of the operator of the scalar-field energymomentum tensor, T(x)(ren), are calculated.
引用
收藏
页码：153 / 157
页数：5
相关论文
共 13 条
  • [1] Albeverio S, 1995, SOLVABLE MODELS QUAN
  • [2] [Anonymous], 1971, TABLE INTEGRALS SERI
  • [3] Birrell N. D., 1982, Quantum Fields in Curved Space
  • [4] VACUUM ENERGY IN QUANTUM-FIELD THEORY WITH EXTERNAL POTENTIALS CONCENTRATED ON PLANES
    BORDAG, M
    HENNIG, D
    ROBASCHIK, D
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (16): : 4483 - 4498
  • [5] DEMKOV YN, 1975, METHOD ZERO RANGE PO
  • [6] Gitman D., 2012, Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schrodinger and Dirac Equations with Singular Potentials
  • [7] Casimir Energy in Contact-Interaction Models
    Grats, Yu. V.
    [J]. PHYSICS OF ATOMIC NUCLEI, 2018, 81 (02) : 253 - 256
  • [8] Vacuum polarization and classical self-action near higher-dimensional defects
    Grats, Yuri V.
    Spirin, Pavel
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2017, 77 (02):
  • [9] Jackiw R., 1995, Advanced Series in Mathematical Physics
  • [10] Quantum mechanics of electrons on crystal lattices
    Kronig, RD
    Penney, WG
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1931, 130 (814) : 499 - 513
12