Zeta Function Regularization

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High Quality Content by WIKIPEDIA articles! Such a sum will typically have a pole at s=4, due to the bulk contributions of the quantum field in three space dimensions. However, it may be analytically continued to s=0 where hopefully there is no pole, thus giving a finite value to the expression. A detailed example of this regularization at work is given in the article on the Casimir effect, where the resulting sum is very explicitly the Riemann zeta-function. The zeta-regularization is useful as it can often be used in a way such that the various symmetries of the physical system are preserved. Besides the Casimir effect, zeta-function regularization is used in conformal field theory and in fixing the critical spacetime dimension of string theory.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130392925
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786130392925
    • Format Fachbuch
    • Titel Zeta Function Regularization
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 88
    • Genre Mathematik

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