On Stefan-Boltzmann law and the Casimir effect at finite temperature in the Schwarzschild space-time

被引:1
|
作者
Santos, A. F. [1 ]
Ulhoa, S. C. [2 ,3 ]
Khanna, Faqir C. [4 ,5 ]
机构
[1] Univ Fed Mato Grosso, Inst Fis, BR-78060900 Cuiaba, Mato Grosso, Brazil
[2] Univ Brasilia, Int Ctr Phys, Inst Fis, BR-70910900 Brasilia, DF, Brazil
[3] Canadian Quantum Res Ctr, 204-3002,32 Ave, Vernon, BC V1T 2L7, Canada
[4] Univ Victoria, Dept Phys & Astron, 3800 Finnerty Rd, Victoria, BC V8P 5C2, Canada
[5] Univ Alberta, Theoret Phys Inst, Phys Dept, Edmonton, AB, Canada
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2020年 / 35卷 / 13期
关键词
Schwarzschild space-time; Casimir effect; Stefan-Boltzmann law; finite temperature; TFD formalism; LIE-GROUPS; FIELDS;
D O I
10.1142/S0217751X20500669
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
This paper deals with quantum field theory in curved space-time using the Thermo Field Dynamics. The scalar field is coupled to the Schwarzschild space-time and then thermalized. The Stefan-Boltzmann law is established at finite temperature and the entropy of the field is calculated. Then the Casimir energy and pressure are obtained at zero and finite temperature.
引用
收藏
页数:12
相关论文
共 50 条
  • [41] Motion of Relativistic Strings on the Equatorial Plane in the Schwarzschild Space-Time
    孔德兴
    李晓燕
    Communications in Theoretical Physics, 2013, 59 (01) : 80 - 86
  • [42] Thermal Casimir effect for rectangular cavities inside (D+1)-dimensional Minkowski space-time revisited
    Lin, Rui-Hui
    Zhai, Xiang-Hua
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (08):
  • [43] Magnetic field corrections to the repulsive Casimir effect at finite temperature
    Erdas, Andrea
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2016, 31 (07):
  • [44] Finite temperature Casimir effect in Kaluza-Klein spacetime
    Teo, L. P.
    NUCLEAR PHYSICS B, 2009, 819 (03) : 431 - 452
  • [45] Finite temperature Casimir effect for massive scalars in a magnetic field
    Erdas, Andrea
    Seltzer, Kevin P.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (17):
  • [46] The enhancement of quantum entanglement under an open Dirac system with the Hawking effect in Schwarzschild space-time
    Sun, Wen-Yang
    Wang, Dong
    Fang, Bao-Long
    Shi, Jia-Dong
    Ye, Liu
    LASER PHYSICS LETTERS, 2018, 15 (06)
  • [47] The Lifespan of Smooth Solutions to Semilinear Wave Equations in Schwarzschild Space-Time
    Lou, Qiong
    Luo, Shaoying
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2023, 36 (04): : 404 - 413
  • [48] Dynamics of multiparticle systems on the symplectic extension of the Schwarzschild space-time manifold
    Fimin, N. N.
    GRAVITATION & COSMOLOGY, 2009, 15 (03) : 224 - 233
  • [49] Casimir effect at finite temperature for pure-photon sector of the minimal Standard Model Extension
    Santos, A. F.
    Khanna, Faqir C.
    ANNALS OF PHYSICS, 2016, 375 : 36 - 48
  • [50] Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordstrom space-time
    Gao, Xin-Qin
    Zhu, Jian-Yang
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2006, 15 (09): : 1473 - 1486