Recerca: |
·Emilio Elizalde
(CSIC)
S. D. Odintsov "Thomson Highly Cited Researcher" 2014, 2015, 2016, and Amaldi Medal
·Sergei
D. Odintsov (ICREA)
·Diego Sáez Gómez
(JdC PostDoc)
·Taishi Katsuragawa
(PhD Student)
·Luis Gustavo T. Silva
(PhD Student)
·Yi Zhong
(PhD Student)
·Kerim Demirel
(Master Thesis UAB)
·Alejandro Peñuela Díaz
(Graduate Thesis UAB)
·Daniel Pérez Cervera
(Graduate Thesis UAB)
·David Llorens
(Graduate Thesis UAB)
·Aleix Calderón Usán
(Graduate Thesis UAB)
·Gloria
Garcia Cuadrado (PhD Student)
·Roger Oliva Balagué
(PhD Student)
Previous (recent):
·Antonio Jesús López Revelles
(PhD)
·A de la Cruz Dombriz (PostDoc B Pinos)
·Sergey Vernov (PostDoc
CPAN)
·Pedro J. Silva (I3P,
CSIC)
·Sante Carloni
(PostDoc BPinos)
·Pau Amaro Seoane
(PostDoc DGICYT)
·Bantipo Kamoua Kolani
(Master Thesis UAB)
·Jofre Espigulé
(Graduate Thesis UAB)
·Anna Escofet Pacreu
(Graduate Thesis UAB)
·Marc Canals
(Graduate Thesis UAB)
· Quantum
fields in curved space-time
· Black
hole structure
· String,
brane, M-theory inspired models
· Uses
of the renormalization group
· AdS/CFT
correspondence and brane worlds
· Quantum
vacuum fluctuations, also dynamical effects
· External
fields, finite temperature QFT, chemical potentials
· Strong
magnetic field effects in cosmology
· Zeta
regularization and effective actions in QG
· Early
time Universe, inflation
· Dark
energy models
· Phantom
cosmology, future singularities
· Braneworld
cosmology and modified gravity
· Zeta
functions of yDOs
· Heat-kernel
techniques
· Zeta
function regularization, Hadamard regularization
· Determinants,
the multiplicative anomaly (or defect)
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. TABLE OF CONTENTS:
--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.
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. The papers have been
grouped into three main areas: Quantum field theory (QFT)
and the Casimir effect, Gravity and Cosmology, and Zeta functions in Physics and
Mathematics. Written by highly qualified specialists in the different specific fields,
they cover some major developments of Physics in the last three decades and a
wealth of applications. A number of closely related issues are also considered, such
as the nature of dark energy, modified gravity models (f(R) and Gauss-Bonnet, for
example), Horava-Lifshitz gravity, and a couple of non-standard approaches. 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 accelerated
expansion, one of the landmark discoveries of the last century. Further, a nice and
rigorous 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, e.g., those involving pistons, which
are now very fashionable. The prerequisites to read this book are some good background
knowledge of quantum physics, relativity, and basic functional analysis. Many of the
articles give a detailed description of their subject and they try to be as
pedagogical as possible.
On March 8, 2010, Professor Emilio Elizalde Rius, a renowned Spanish and Catalan scientist in
the area of mathematical physics, quantum field theory and cosmology, is celebrating his sixtieth
birthday. This special volume contains a selected collection of his more important articles written
during the last thirty years.
It is quite natural that such a book is being edited by Tomsk State Pedagogical University
(TSPU). Professor Emilio Elizalde (ICE, CSIC-IEEC, Barcelona) has been collaborating very
intensively with mathematical physics/cosmology researchers from Tomsk State Pedagogical University
during the last twenty years. In total he has published more than one hundred papers
written together with TSPU professors. Among his collaborators one can count the leaders of the
aforementioned theoretical physics directions: Prof. V.V. Obukhov (General Relativity and Mathematical
Physics), Prof. S.D. Odintsov (Cosmology and Quantum Gravity), Prof. K.E. Osetrin
(General Relativity and Mathematical Physics) as well as several other professors of TSPU.
The scientific relations between TSPU and ICE-IEEC were developed to a very high level
during the last years. There was established a cooperation agreement between ICE-IEEC, Barcelona
and TSPU, Tomsk. Our students and professors are often guests of ICE-IEEC, Barcelona.
A number of common conferences has been organized. Moreover, Professor Emilio Elizalde is
nominated to become honorary professor of TSPU in 2010.
The research activity by Emilio Elizalde is very wide, as one can see from his brief CV attached
at the end of this volume as well as from his publications list. He has got a number of fundamental
results in zeta-regularization techniques (where three monographs are published), mathematical
physics, observational and theoretical cosmology, quantum gravity and quantum field theory. We
are proud of the fact that some of these fundamental results have been obtained together with his
Tomsk colleagues.
Needless to say that on his 60th birthday Prof. Emilio Elizalde is extremely active in research,
publishing a dozen of scientific papers a year. This definitely means that we can expect a lot more
brilliant results from him in the future. TSPU presents this special volume to Emilio as a gift
on his 60th anniversary. All his Tomsk friends and colleagues wish him excellent health for many
years to come and even more fundamental scientific achievements. Prof. V.V. Obukhov and
Prof. S.D. Odintsov, Editors.
· Riemann
and Related Zeta Functions
· Zeta-Function
Regularization of Sums Over Known Spectrum
· Zeta
Function Regularization Generalized
· The
Casimir Effect in Flat Spacetime
· Heat-Kernel
and Zeta-Function Regularization Techniques in the Theory of Quantum Fields on
Hyperbolic Space
· Quantum
Properties of Extended Objects
· Finite-Temperature
Effects in Quantum Field Theory
· String
Theory at Non-Zero Temperature
· Covariant
Effective in 2D Gravity
· Calculation
of Heat-Kernel Coefficients
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). The formulas some of which
are new can be used for 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.
One of the
aims of this book is to explain in a basic manner the seemingly difficult
issues of mathematical structure using
some specific examples as a guide. In each of the cases considered, a
comprehensible physical problem is approached, to which the corresponding
mathematical scheme is applied, its usefulness being duly demonstrated. The
authors try to fill the gap that always exists between the physics of quantum
field theories and the mathematical methods best suited for its formulation,
which are increasingly demanding on the mathematical ability of the physicist.
Stuart Dowker is known,
among different things, for his many applications in the context of zeta function regularization
and its applications to quantum field theory under external conditions and spectral theory.
He can be considered the world expert on particular case calculations with a knowledge of
the literature, old and recent, that is not seen very often and which originated in the
many hours spent at different (mostly British) libraries. His attitude towards explicit
computations is nicely summarized by himself:
'I have always been interested in exact solutions, even if unphysical, so long as they are pretty.
They seem to be working mechanisms that fit together, complete in themselves, like a watch.'
This issue in honour of Stuart's 75th birthday contains contributions that touch upon the various
topics he has worked on. Eds. Fay Dowker, Emilio Elizalde and Klaus Kirsten (IOP, London, 2012);
DOI:10.1088/1751-8113/45/37/370301.
This volume
contains the Proceedings of the 10th International Conference on Quantum
Field Theory Under the Influence of External Conditions (QFEXT11) held at
the Pedro Pascual Science Center in Benasque (Spain), 18–24 September 2011.
The series of Workshops on Quantum Field Theory Under the Influence of External
Conditions was started in 1989 by D. Robaschik and continued since 1995 by
M. Bordag. The meetings have taken place mainly in Leipzig (1995, 1998, 2001,
2007), but also in Oklahoma (2003, 2009) and Barcelona (2005).
One hundred and six leading scientists and junior researchers attended the Conference
held in Benasque. Most of the world leading specialists on the subjects
discussed participated in the meeting and presented new developments. The conference
focussed on the following topics:
1. Casimir and van der Waals forces; theoretical and experimental aspects, with
applications at the nanoscale.
2. Quantum vacuum effects in quantum field theory, with applications to particle
physics, condensed matter physics, laser and atomic physics.
3. Quantum field theory in strong external fields and in curved space-time.
4. Vacuum energy in gravity, cosmology and astrophysics.
5. Mathematical physics techniques for quantum vacuum studies.
The QFEXT11 conference also helped to broaden the interest of Spanish groups
working on quantum field theory under background fields and cosmology. In particular,
the conference pointed out the existence of a large Spanish community working
on these topics. As a result, some more Spanish scientists have newly joined the
Casimir European Network.
A special session was devoted to analyse recent progress on the line of the seminal
work by Euler and Heisenberg on the occasion of the 75th anniversary of their
highly influential paper. Another session was devoted to Stuart Dowker for his
important contributions to the development of the field, in special through zetafunction
regularization. During the Conference especial attention was paid to junior
researchers and their oral or poster presentations.
Eds. M. Asorey, M. Bordag, and E. Elizalde (World Sci., Singapore, 2012).
DOI: http://dx.doi.org/10.1142/S2010194512007726.
On April 7, 2009
Professor Iver Hakon Brevik, a world-known norwegian scientist in
the area of theoretical physics and hydrodynamics, celebrated his seventieth birthday.
This special volume represents the collection of articles devoted mainly to Casimir effect
and Cosmology and written by his friends and colleagues who wish to pay tribute to this
remarkable event. The research activity by Iver Brevik is very wide, however, this volume
is devoted to only two of the several research
directions by Iver Brevik: Casimir Effect and Cosmology. Prof. I.H. Brevik is still very active
in science, especially in cosmology and Casimir effect at
non-zero temperature. The editors and contributors presented this special volume to Iver as a
gift on his 70th anniversary. Eds. S.D. Odintsov, E. Elizalde and O. Gorbunova (Ed. TSPU, Russia, 2009)
ISBN 978-5-89428-415-6.
By kind agreement of the
participants of the workshop QFEXT03, which took place in
Oklahoma, USA in September 2003, I was commissioned to organize the seventh workshop on
‘Quantum Field Theory under the Influence of External Conditions’ (QFEXT05), in Barcelona,
Spain. This was the follow-up meeting of a series of international workshops that started in
1989 in Leipzig. This workshop provided a unique opportunity to bring together scientists
from eastern and western Europe, in numbers necessary to initiate serious collaborative work.
Its success was due as much to the appropriateness of the location as to the friendly atmosphere
generated. During the intervening years we witnessed the sudden changes experienced in
eastern Europe with the fall of the Berlinwall and the emergence of a new European conscience
and scientific society.
I would like to recall that the subject of these meetings has always had much to do with
the seminal contributions of the late Professor Hendrik Casimir to physics, in particular with
the increasingly important Casimir effect (observable manifestations of the fluctuations of the
quantum vacuum). Professor Casimir himself participated in some of the meetings, the last
time just before his death. I had been corresponding with him during those last months about
the possibility of him coming to Barcelona, but unfortunately there was no time to realize this
visit. Now that finally the workshop took place here I felt I owed him this remembrance. I
keep as a treasure a dedicated copy of one of his books.
Both at terrestrial and at cosmological level the importance of quantum vacuum
fluctuations is growing at a very fast pace. Over the last few years measurements of the
Casimir force have attained high precision and applications in nanotechnology—hybrid devices
integrating carbon nanotubes and their mass production, for instance—are important tasks for
the near future. Actual progress in these fields is quickly reaching the standard of technological
applications. The state of the art in these subjects is covered in the present proceedings, as
reported at large at the Barcelona meeting QFEXT05. Moreover, at the cosmological scale,
vacuum fluctuations have the potential to give rise to a simple and most natural explanation of
the recently observed acceleration in the expansion of the Universe. More results, both at the
theoretical and observational level, are needed in order to confirm such a possibility, which is
explored in some of the papers here. E. Elizalde and S.D. Odintsov, Guest Editors.
These lectures
were addressed to non-specialists willing to learn some basic facts,
approaches, tools and observational evidence which conform modern cosmology.
The aim is also to try to complement the many excellent treatises that exists
on the subject (an exhaustive treatment being in any case impossible for lack
of time, in the lectures, and of space here), instead of trying to cover
everything in a telegraphic way. We start by recalling in the introduction a
couple of philosophical questions that have always upset inquiring minds. We
then present some original mathematical approaches to investigate a number of
basic questions, as the comparison of two point distributions (each point
corresponding to a galaxy or galaxy cluster), the use of non-standard statistics
in the analysis of possible non-Gaussianities, and the use of zeta
regularization in the study of the contributions of vacuum energy effects at
the cosmological scale. And we also summarize a number of important issues
which are both undoubtedly beautiful (from the physical viewpoint) and useful
in present-day observational cosmology. To finish, the reader should be warned
that, for the reasons already given and lack of space, some fundamental issues,
as inflation, quantum gravity and string theoretical fundamental approaches to
cosmology will not be dealt with here. A minimal treatment of any of them would
consume more pages than the ones at disposal and, again, a number of excellent
treatments of these subjects are available.
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