Click on a thumbnail to go to Google Books.
Loading... A Window into Zeta and Modular Physics (Mathematical Sciences Research Institute Publications)by Klaus Kirsten
No tags None Loading...
Sign up for LibraryThing to find out whether you'll like this book. No current Talk conversations about this book. No reviews no reviews | add a review
Belongs to Series
This book provides an introduction to (1) various zeta functions (for example, Riemann, Hurwitz, Barnes, Epstein, Selberg, and Ruelle), including graph zeta functions; (2) modular forms (Eisenstein series, Hecke and Dirichlet L-functions, Ramanujan's tau function, and cusp forms); and (3) vertex operator algebras (correlation functions, quasimodular forms, modular invariance, rationality, and some current research topics including higher genus conformal field theory). Various concrete applications of the material to physics are presented. These include Kaluza-Klein extra dimensional gravity, Bosonic string calculations, an abstract Cardy formula for black hole entropy, Patterson-Selberg zeta function expression of one-loop quantum field and gravity partition functions, Casimir energy calculations, atomic Schrödinger operators, Bose-Einstein condensation, heat kernel asymptotics, random matrices, quantum chaos, elliptic and theta function solutions of Einstein's equations, a soliton-black hole connection in two-dimensional gravity, and conformal field theory. No library descriptions found. |
Current DiscussionsNone
Google Books — Loading... GenresMelvil Decimal System (DDC)530.15Natural sciences and mathematics Physics Physics Theoretical Physics Mathematical PhysicsLC ClassificationRatingAverage: No ratings.Is this you?Become a LibraryThing Author. |