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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 143, Number 1, Pages 49–63
DOI: https://doi.org/10.4213/tmf1803 (Mi tmf1803) 		 
Subtraction-free renormalization of the quantum-field vacuum energy in the presence of nontrivial boundary conditions

I. Yu. Malakhov, K. A. Sveshnikov, P. K. Silaev

M. V. Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/tmf1803
Abstract: We propose a subtraction-free method for calculating the quantum-field vacuum energy in the presence of nontrivial boundary conditions and logarithmically divergent terms caused by them. The method can also be used in the case where the energy levels of a system are known only numerically. Moreover, its use requires neither knowledge of the analytic form of equations for certain levels or a detailed analysis of their asymptotic behavior.
Keywords: renormalization, vacuum, zero oscillations, macroscopic quantum effects.
Received: 11.11.2003
Revised: 04.08.2004
English version:
Theoretical and Mathematical Physics, 2005, Volume 143, Issue 1, Pages 529–540
DOI: https://doi.org/10.1007/s11232-005-0088-8
Bibliographic databases:
Language: Russian
Citation: I. Yu. Malakhov, K. A. Sveshnikov, P. K. Silaev, “Subtraction-free renormalization of the quantum-field vacuum energy in the presence of nontrivial boundary conditions”, TMF, 143:1 (2005), 49–63; Theoret. and Math. Phys., 143:1 (2005), 529–540
Citation in format AMSBIB
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\paper Subtraction-free renormalization of the quantum-field vacuum energy in the presence of nontrivial boundary conditions
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\elib{https://elibrary.ru/item.asp?id=9132045}
\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 143
\issue 1
\pages 529--540
\crossref{https://doi.org/10.1007/s11232-005-0088-8}
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  • https://www.mathnet.ru/eng/tmf/v143/i1/p49
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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