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
  • [31] CASIMIR EFFECT FOR THE ROBIN SURFACES IN STATIC ROBERTSON-WALKER SPACE-TIME
    Setare, Mohammad R.
    Dehghani, M.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2011, 20 (02): : 161 - 168
  • [32] The Casimir Effect in Finite-Temperature and Gravitational Scenarios
    Bezerra, Valdir Barbosa
    Mota, Herondy Francisco Santana
    Lima, Augusto P. C. M.
    Alencar, Geova
    Muniz, Celio Rodrigues
    PHYSICS, 2024, 6 (03): : 1046 - 1071
  • [33] Some developments of the Casimir effect in p-cavity of (D+1)-dimensional space-time
    Zhai, Xiang-Hua
    Lin, Rui-Hui
    Feng, Chao-Jun
    Li, Xin-Zhou
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2014, 29 (30):
  • [34] Exploration of quantum correlations in an open system with Unruh effect under a Schwarzschild space-time
    Sun, Wen-Yang
    Chen, Jiaojiao
    Ding, Amin
    Wang, Dong
    Ye, Liu
    LASER PHYSICS LETTERS, 2019, 16 (11)
  • [35] New version of FDTD with GFM program in Schwarzschild space-time
    Jia, Shouqing
    COMPUTER PHYSICS COMMUNICATIONS, 2018, 232 : 264 - 265
  • [36] Quantum distinguishability and geometric discord in the background of Schwarzschild space-time
    Shi, Jiadong
    Ding, Zhiyong
    He, Juan
    Yu, Lizhi
    Wu, Tao
    Chen, Shixian
    Wang, Dong
    Liu, Chengcheng
    Sun, Wenyang
    Ye, Liu
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 510 : 649 - 657
  • [37] A solution of the Weyl-Lanczos equations for the Schwarzschild space-time
    O'Donnell, P
    GENERAL RELATIVITY AND GRAVITATION, 2004, 36 (06) : 1415 - 1422
  • [38] Letter: A Solution of the Weyl–Lanczos Equations for the Schwarzschild Space-Time
    Peter O'Donnell
    General Relativity and Gravitation, 2004, 36 : 1415 - 1422
  • [39] Motion of Relativistic Strings on the Equatorial Plane in the Schwarzschild Space-Time
    Kong De-Xing
    Li Xiao-Yan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 59 (01) : 80 - 86
  • [40] Effects of Hawking Radiation on the Entropic Uncertainty in a Schwarzschild Space-Time
    Wang, Dong
    Shi, Wei-Nan
    Hoehn, Ross D.
    Ming, Fei
    Sun, Wen-Yang
    Kais, Sabre
    Ye, Liu
    ANNALEN DER PHYSIK, 2018, 530 (09)
12345