Cosmology, Quantum Vacuum and Zeta Functions

1. Front Matter

   Pages i-ix

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2. Emili Elizalde. Perspectives on his Life and Work

   • Sebastiàn Xambó-Descamps

   Pages 1-18

3. QFT and the Casimir Effect

   1. Front Matter

      Pages 19-19

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   2. Colliding Hadrons as Cosmic Membranes and Possible Signatures of Lost Momentum

      • Irina Ya. Aref’eva

      Pages 21-34

   3. Vacuum Energy and the Topology of the Universe

      • Manuel Asorey, Inés Cavero-Peláez, José M. Muãoz-Castaãeda

      Pages 35-44

   4. The Low Temperature Corrections to the Casimir Force Between a Sphere and a Plane

      • Michael Bordag, Irina G. Pirozhenko

      Pages 45-56

   5. Casimir Effect for the Piecewise Uniform String

      • Iver Brevik

      Pages 57-66

   6. N = 2 and N = 4 Supersymmetric Low-Energy Effective Actions in Three Dimensions

      • Ioseph L. Buchbinder, Nicolay G. Pletnev, Igor B. Samsonov

      Pages 67-76

   7. Colour Confinement, the Goto-Imamura-Schwinger Term and Renormalization Group

      • Masud Chaichian

      Pages 77-89

   8. Non-central extensions of (Super) Poincaré algebra and (Susy) Electromagnetic Backgrounds

      • Joaquim Gomis

      Pages 91-97

   9. Multiple Scattering: Dispersion, Temperature Dependence, and Annular Pistons

      • 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

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   2. Brane Cosmology with an f (R) contribution

      • Mariam Bouhmadi-López

      Pages 117-125

   3. f (R)-Gravity Matched With Large Scale Structure and Cosmological Observations

      • Salvatore Capozziello

      Pages 127-137

   4. An analysis of the phase space of Hořava-Lifshitz cosmologies

      • Sante Carloni, Emilio Elizalde, Pedro J Silva

      Pages 139-148

   5. Gravitational Waves Astronomy: a cornerstone for gravitational theories

      • Christian Corda

      Pages 149-155

   6. Hamilton–Jacobi Method and Gravitation

      • R. Di Criscienzo, L. Vanzo, S. Zerbini

      Pages 157-164

   7. A characteristic signature of fourth order gravity

      • Kishore N. Ananda, Sante Carloni, Peter K S Dunsby

      Pages 165-172

   8. Horizons and Singularity in Clifton’s Spherical Solution of f (R) vacuum

      • Valerio Faraoni

      Pages 173-181

   9. Gravitational Zero Point Energy and the Induced Cosmological Constant

      • Remo Garattini

      Pages 183-192

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

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, bookinspections.wordpress.com, January, 2014)

• , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, Spain

  Sergey D. Odintsov

• , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, Spain

  Diego Sáez-Gómez

• Universitat Politècnica de Catalunya, Barcelona, Spain

  Sebastian Xambó-Descamps

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