Geodesic
Subtraction-free renormalization of the quantum-field vacuum energy in the presence of nontrivial boundary conditions
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 1, pp. 49-63

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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, macroscopic quantum effects.
Mots-clés : zero oscillations 
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     author = {I. Yu. Malakhov and K. A. Sveshnikov and P. K. Silaev},
     title = {Subtraction-free renormalization of the quantum-field vacuum energy in the presence of nontrivial boundary conditions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {49--63},
     publisher = {mathdoc},
     volume = {143},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_1_a4/}
}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 1, pp. 49-63. http://geodesic.mathdoc.fr/item/TMF_2005_143_1_a4/