Vacuum Energy in Two Dimensional Box Through the Krein Quantization

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• 作者：Ali Ghaffari ; Sanaz Karimaghaee…
• 关键词：Casimir effect ; Krein space
• 刊名：International Journal of Theoretical Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：56
• 期：3
• 页码：887-897
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Quantum Physics; Elementary Particles, Quantum Field Theory; Theoretical, Mathematical and Computational Physics;
• 出版者：Springer US
• ISSN：1572-9575
• 卷排序：56

文摘

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.