Ten Physical Applications of Spectral Zeta Functions

• Κύριος συγγραφέας: Elizalde, Emilio (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Έκδοση: 2nd ed. 2012.
• Σειρά: Lecture Notes in Physics, 855
• Θέματα: Physics.; Mathematical physics.; Quantum field theory.; String theory.; Mathematical Methods in Physics.; Mathematical Physics.; Quantum Field Theories, String Theory.; Mathematical Applications in the Physical Sciences.

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 work...

Πίνακας περιεχομένων:

• 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.