Ten Physical Applications of Spectral Zeta Functions
Zeta-function regularization is a powerful method in perturbation theory.This book is meant as a 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...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Vydání: | 2nd ed. 2012. |
| Edice: | Lecture Notes in Physics
855 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ten physical applications of spectral zeta functions, Emilio Elizalde, 2nd ed., 2012, Heidelberg, Springer, 1 vol. (xiv-227 p.), Lecture notes in physics, 978-3-642-29404-4 • Ten Physical Applications of Spectral Zeta Functions, Texte imprimé, 9783642294068 • Ten physical applications of spectral zeta functions, Emilio Elizalde, 2nd ed., 2012, Heidelberg, Springer, 1 vol. (xiv-227 p.), Lecture notes in physics, 978-3-642-29404-4 • Ten Physical Applications of Spectral Zeta Functions, Texte imprimé, 9783642294068 • Ten physical applications of spectral zeta functions, Emilio Elizalde, 2nd ed., 2012, Heidelberg, Springer, 1 vol. (xiv-227 p.), Lecture notes in physics, 978-3-642-29404-4 |
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| 100 | 1 | |a Elizalde, Emilio. | |
| 245 | 1 | 0 | |a Ten Physical Applications of Spectral Zeta Functions |c by Emilio Elizalde. |
| 250 | |a 2nd ed. 2012. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Physics |v 855 |x 1616-6361 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction and Outlook Mathematical Formulas Involving the Different Zeta Functions A Treatment of the Non-Polynomial Contributions: Application to Calculate Partition Functions of Strings and Membranes Analytical and Numerical Study of Inhomogeneous Epstein and Epstein-Hurwitz Zeta Functions Physical Application: the Casimir Effect Five Physical Applications of The Inhomogeneous Generalized Epstein-Hurwitz Zeta Functions Miscellaneous Applications Combinig Zeta With Other Regularization Procedures Applications to Gravity, Strings and P-Branes Eleventh Application: Topological Symmetry Breaking in Self-Interacting Theories Twelth Application: Cosmology and The Quantum-Vacuum References Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Zeta-function regularization is a powerful method in perturbation theory.This book is meant as a 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 (e.g. Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, noncommutative spacetime). The formulas some of which are new can be used for physically meaningful, accurate numerical calculations. The book is to be considered as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. This thoroughly revised, updated and expanded edition includes in particular new explicit formulas on the general quadratic, Chowla-Selberg series case, an interplay with the Hadamard calculus, and features a new chapter on recent cosmological applications including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models | ||
| 776 | 0 | |0 163819831 |t Ten physical applications of spectral zeta functions |f Emilio Elizalde |e 2nd ed. |d 2012 |c Heidelberg |n Springer |p 1 vol. (xiv-227 p.) |s Lecture notes in physics |z 978-3-642-29404-4 | |
| 776 | 0 | |t Ten Physical Applications of Spectral Zeta Functions |b Texte imprimé |z 9783642294068 | |
| 776 | 0 | |0 163819831 |t Ten physical applications of spectral zeta functions |f Emilio Elizalde |e 2nd ed. |d 2012 |c Heidelberg |n Springer |p 1 vol. (xiv-227 p.) |s Lecture notes in physics |z 978-3-642-29404-4 | |
| 776 | 0 | |t Ten Physical Applications of Spectral Zeta Functions |b Texte imprimé |z 9783642294068 | |
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