Radiative corrections to the Casimir pressure under the influence of temperature and external fields |
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| Affiliation: | 1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, PR China;2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, PR China;3. Department of Physics, Hunan Normal University, Changsha 410081, PR China;4. Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Changsha 410081, PR China;5. Synergetic Innovation Center for Quantum Effects and Applications (SICQEA), Hunan Normal University, Changsha 410081, PR China;1. Department of Physics, Kyoto University, Kyoto 606-8502, Japan;2. Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan;3. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan;1. Center for Nonlinear Science and Department of Physics, Ningbo University, Ningbo, Zhejiang 315211, China;2. Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan 410081, China;1. School of Communication Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;2. Beijing Computational Science Research Center, Beijing 100084, China;3. Department of Physics, Tongji University, Shanghai 200092, China;1. The City University of New York, CSI, Mathematics Department, 2800 Victory Boulevard, Staten Island, New York 10314, USA;2. TIFR-Centre For Applicable Mathematics, Post Bag No. 6503, Sharada Nagar, GKVK Post Office, Bangalore 560065, India |
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| Abstract: | Generalizing the quantum field theory (QFT) with boundary conditions in covariant gauge to the case of finite temperature, we develop the quantum electrodynamics (QED) with boundary conditions in the Matsubara approach as well as in the thermofield formulation. We rederive the known results of the free-field theory for the pressure and the free energy of the Casimir problem. For infinitely thin plates we calculate the radiative corrections in secondorder perturbation theory at finite temperature. Thereby it turns out that the calculation of the vacuum energy at the vanishing temperature via the Z functional is much simpler than a calculation via the energy momentum tensor. This observation allows determination of the influence of static electromagnetic fields on the Casimir problem. |
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