VACUUM ENERGY INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS

被引:7
|
作者
Gorkavenko, V. M. [1 ]
Sitenko, Yu. A. [2 ]
Stepanov, O. B. [2 ]
机构
[1] Taras Shevchenko Natl Univ Kyiv, Dept Phys, UA-01601 Kiev, Ukraine
[2] Natl Acad Sci Ukraine, Bogolyubov Inst Theoret Phys, UA-03680 Kiev, Ukraine
来源
关键词
Vacuum polarization; Casimir effect; magnetic vortex; QUANTUM-THEORY;
D O I
10.1142/S0217751X11054346
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
We consider the effect of the magnetic field background in the form of a tube of the finite transverse size on the vacuum of the quantized charged massive scalar field which is subject to the Dirichlet boundary condition at the edge of the tube. The vacuum energy is induced, being periodic in the value of the magnetic flux enclosed in the tube. The dependence of the vacuum energy density on the distance from the tube and on the coupling to the space-time curvature scalar is comprehensively analyzed.
引用
收藏
页码:3889 / 3899
页数:11
相关论文
共 50 条
  • [1] CASIMIR ENERGY AND FORCE INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS
    Gorkavenko, Volodymyr M.
    Sitenko, Yurii A.
    Stepanov, Olexander B.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2013, 28 (31):
  • [2] CASIMIR FORCE INDUCED ON A PLANE BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS
    Gorkavenko, V. M.
    Sitenko, Yu. A.
    Stepanov, O. B.
    UKRAINIAN JOURNAL OF PHYSICS, 2013, 58 (05): : 424 - 431
  • [3] Ground state energy of a spinor field in the background of a finite radius flux tube
    Bordag, M
    Kirsten, K
    PHYSICAL REVIEW D, 1999, 60 (10):
  • [4] INDUCED VACUUM POLARIZATION OF SCALAR FIELD BY IMPENETRABLE MAGNETIC TUBE
    Gorkavenko, V. M.
    Sitenko, Yu. A.
    Stepanov, O. B.
    UKRAINIAN JOURNAL OF PHYSICS, 2010, 55 (03): : 275 - 282
  • [5] INDUCED VACUUM ENERGY DENSITY OF QUANTUM CHARGED SCALAR MATTER IN THE BACKGROUND OF AN IMPENETRABLE MAGNETIC TUBE WITH THE NEUMANN BOUNDARY CONDITION
    Gorkavenko, V. M.
    Gorkavenko, T. V.
    Sitenko, Yu. A.
    Tsarenkova, M. S.
    UKRAINIAN JOURNAL OF PHYSICS, 2022, 67 (10): : 715 - 721
  • [6] Induced current in the presence of a magnetic flux tube of small radius
    Milstein, Alexander I.
    Terekhov, Ivan S.
    PHYSICAL REVIEW B, 2011, 83 (07):
  • [7] Conductance in a narrow constriction threaded by an impenetrable magnetic flux tube
    Liang, HC
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1999, 13 (27): : 3245 - 3254
  • [8] VACUUM POLARIZATION BY A MAGNETIC FLUX TUBE AT FINITE TEMPERATURE IN THE COSMIC STRING SPACE-TIME
    Spinelly, J.
    Bezerra De Mello, E. R.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2009, 18 (01): : 53 - 70
  • [9] Polarization of the vacuum of a quantized scalar field by an impenetrable magnetic vortex of finite thickness
    Gorkavenko, V. M.
    Sitenko, Yu A.
    Stepanov, O. B.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (17)
  • [10] Analysis of an eddy-current brake considering finite radius and induced magnetic flux
    Lee, K
    Park, K
    JOURNAL OF APPLIED PHYSICS, 2002, 92 (09) : 5532 - 5538