Vacuum Energy in Two Dimensional Box Through the Krein Quantization

被引:1
|
作者
Ghaffari, Ali [1 ]
Karimaghaee, Sanaz [1 ]
Tanhayi, M. R. [1 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch IAUCTB, Fac Basic Sci, Dept Phys, Tehran, Iran
关键词
Casimir effect; Krein space; SPACE QUANTIZATION; CASIMIR; FIELDS;
D O I
10.1007/s10773-016-3231-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work we reexamine the Casimir effect in which the vacuum expectation value of quantum fields is calculated over a so-called Krein space. This method has already been successfully applied to study Casimir effect on non-trivial topologies and also the covariance problem in the massless minimally coupled scalar field in de Sitter space-time. It is shown that within this method, no infinite term appears in the computation of the vacuum expectation value of energy-momentum tensor. We investigate the behavior of the Krein quantization for a scalar field in a box satisfying the Dirichlet boundary condition. We show that one can recover the usual theory with the exception that the vacuum energy of the free theory is zero.
引用
收藏
页码:887 / 897
页数:11
相关论文
共 12 条
  • [1] Vacuum Energy in Two Dimensional Box Through the Krein Quantization
    Ali Ghaffari
    Sanaz Karimaghaee
    M. R. Tanhayi
    International Journal of Theoretical Physics, 2017, 56 : 887 - 897
  • [2] RADIAL CASIMIR EFFECT IN A SPHERE THROUGH THE KREIN SPACE QUANTIZATION
    Hasini, M.
    Tavakoli, E.
    Tanhayi, M. R.
    MODERN PHYSICS LETTERS A, 2012, 27 (17)
  • [3] Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system II. Vacuum energy
    Davydov, A.
    Sveshnikov, K.
    Voronina, Yu.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2018, 33 (01):
  • [4] Two-loop vacuum energy for Calabi-Yau orbifold models
    D'Hoker, Eric
    Phong, Duong H.
    NUCLEAR PHYSICS B, 2013, 877 (02) : 343 - 400
  • [5] Krein-space based robust H∞ fault estimation for two-dimensional uncertain linear discrete time-varying systems
    Zhao, Dong
    Ding, Steven X.
    Wang, Youqing
    Li, Yueyang
    SYSTEMS & CONTROL LETTERS, 2018, 115 : 41 - 47
  • [6] Robust H∞ Filtering for Two-Dimensional Uncertain Linear Discrete Time-Varying Systems: A Krein Space-Based Method
    Zhao, Dong
    Ding, Steven X.
    Karimi, Hamid Reza
    Li, Yueyang
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (12) : 5124 - 5131
  • [7] Waveguided energy transfer in pseudo-two-dimensional systems
    Somayaji, Hrishikesh
    Scholes, Gregory D.
    JOURNAL OF CHEMICAL PHYSICS, 2023, 158 (22)
  • [8] Vacuum energy, temperature corrections and heat kernel coefficients in (D+1)-dimensional spacetimes with nontrivial topology
    Mota, Herondy
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2024, 33 (12):
  • [9] Anomalous broadening of Landau levels at the saddle point energy of two dimensional square lattice
    Nikolaev, A. V.
    Zhuravlev, M. Ye.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2022, 560
  • [10] The renormalized energy-momentum tensor and Casimir effect of Dirac field in two-dimensional static spacetime
    Liu Cheng-Zhou
    Zhang Chang-Ping
    ACTA PHYSICA SINICA, 2007, 56 (04) : 1928 - 1937