Ten Physical Applications of Spectral Zeta Functions

- Elizalde, E: Ten Physical Applications of Spectral Zeta

af

indgår i serie LECTURE NOTES IN PHYSICS


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Ten Physical Applications of Spectral Zeta Functions
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Format:
Bog, paperback
Udgivelsesdato:
07-06-2012
Sprog:
Engelsk
Udgave:
2nd ed. 2012.
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Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.

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Udgivelsesdato:
07-06-2012
ISBN13:
9783642294044
Vægt:
379 g
Dybde:
13 mm
Bredde:
155 mm
Højde:
235 mm
Nummer i serien:
855
Format:
Paperback
Forfattere
Bibliotekernes beskrivelse This fully revised new edition of a trusted guide to these powerful tools in perturbation theory covers every detail, especially the trickier mathematics. It features new formulae and a wealth of applications including cutting-edge cosmological functions. 1 Paperback / softback 14 Illustrations, black and white; XIV, 227 p. 14 illus.

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