© 2011

Cosmology, Quantum Vacuum and Zeta Functions

In Honor of Emilio Elizalde

  • Sergey D. Odintsov
  • Diego Sáez-Gómez
  • Sebastian Xambó-Descamps
Conference proceedings

Part of the Springer Proceedings in Physics book series (SPPHY, volume 137)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Sebastiàn Xambó-Descamps
    Pages 1-18
  3. QFT and the Casimir Effect

    1. Front Matter
      Pages 19-19
    2. Manuel Asorey, Inés Cavero-Peláez, José M. Muãoz-Castaãeda
      Pages 35-44
    3. Ioseph L. Buchbinder, Nicolay G. Pletnev, Igor B. Samsonov
      Pages 67-76
    4. Kimball A. Milton, Jef Wagner, Prachi Parashar, Inés Cavero-Peláez, Iver Brevik, Simen Å. Ellingsen
      Pages 99-113
  4. Gravity and Cosmology

    1. Front Matter
      Pages 115-115
    2. Mariam Bouhmadi-López
      Pages 117-125
    3. Sante Carloni, Emilio Elizalde, Pedro J Silva
      Pages 139-148
    4. R. Di Criscienzo, L. Vanzo, S. Zerbini
      Pages 157-164
    5. Kishore N. Ananda, Sante Carloni, Peter K S Dunsby
      Pages 165-172

About these proceedings


Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.


Cosmological constant Dark energy Modified gravity Vacuum fluctuations Zeta functions

Editors and affiliations

  • Sergey D. Odintsov
    • 1
  • Diego Sáez-Gómez
    • 2
  • Sebastian Xambó-Descamps
    • 3
  1. 1., Facultat de CiènciesInstitut de Ciències de l’Espai (IEEC-CSBarcelonaSpain
  2. 2., Facultat de CiènciesInstitut de Ciències de l'Espai ICE-CSICBarcelonaSpain
  3. 3.Universitat Politècnica de CatalunyaBarcelonaSpain

Bibliographic information


From the reviews:

“This book in part is about on some technology concerning the local zeta function applied to quantum field theory in curved static (thermal) spacetime to regularize the stress energy tensor and the field fluctuations. … I find this book extremely useful and important, because it signifies the beauty of a mathematical technique in physics in general. I recommend this book for you it is an amazing reading!” (Philosophy, Religion and Science Book Reviews,, January, 2014)