Moduli Spaces of Riemann Surfaces
Moduli Spaces of Riemann Surfaces

Author: Benson Farb

Publisher: American Mathematical Soc.

Published: 2013-08-16

Total Pages: 371

ISBN-13: 0821898876

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Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

The Casimir Effect
The Casimir Effect

Author: K. A. Milton

Publisher: World Scientific

Published: 2001

Total Pages: 330

ISBN-13: 9789812810526

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In its simplest manifestation, the Casimir effect is a quantum force of attraction between two parallel uncharged conducting plates. More generally, it refers to the interaction OCo which may be either attractive or repulsive OCo between material bodies due to quantum fluctuations in whatever fields are relevant. It is a local version of the van der Waals force between molecules. Its sweep ranges from perhaps its being the origin of the cosmological constant to its being responsible for the confinement of quarks. This monograph develops the theory of such forces, based primarily on physically transparent Green''s function techniques, and makes applications from quarks to the cosmos, as well as observable consequences in condensed matter systems. It is aimed at graduate students and researchers in theoretical physics, quantum field theory, and applied mathematics. Contents: Introduction to the Casimir Effect; Casimir Force Between Parallel Plates; Casimir Force Between Parallel Dielectrics; Casimir Effect with Perfect Spherical; The Casimir Effect of a Dielectric Ball: The Equivalence of the Casimir Effect and van der Waals Forces; Application to Hadronic Physics: Zero-Point Energy in the Bag Model; Casimir Effect in Cylindrical Geometries; Casimir Effect in Two Dimensions: The Maxwell-Chern-Simons Casimir Effect; Casimir Effect on a D -dimensional Sphere; Cosmological Implications of the Casimir Effect; Local Effects; Sonoluminescene and the Dynamical Casimir Effect; Radiative Corrections to the Casimir Effect; Conclusions and Outlook; Appendices: Relation of Contour Integral Method to Green''s Function Approach; Casimir Effect for a Closed String. Readership: High-energy, condensed-matter and nuclear physicists."

The Quantum Vacuum
The Quantum Vacuum

Author: Peter W. Milonni

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 539

ISBN-13: 0080571492

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In modern physics, the classical vacuum of tranquil nothingness has been replaced by a quantum vacuum with fluctuations of measurable consequence. In The Quantum Vacuum, Peter Milonni describes the concept of the vacuum in quantum physics with an emphasis on quantum electrodynamics. He elucidates in depth and detail the role of the vacuum electromagnetic field in spontaneous emission, the Lamb shift, van der Waals, and Casimir forces, and a variety of other phenomena, some of which are of technological as well as purely scientific importance. This informative text also provides an introduction based on fundamental vacuum processes to the ideas of relativistic quantum electrodynamics and quantum field theory, including renormalization and Feynman diagrams. Experimental as well as theoreticalaspects of the quantum vacuum are described, and in most cases details of mathematical derivations are included. Chapter 1 of The Quantum Vacuum - published in advance in The American Journal of Physics (1991)-was later selected by readers as one of the Most Memorable papers ever published in the 60-year history of the journal. This chapter provides anexcellent beginning of the book, introducing a wealth of information of historical interest, the results of which are carefully woven into subsequent chapters to form a coherent whole. - Does not assume that the reader has taken advanced graduate courses, making the text accessible to beginning graduate students - Emphasizes the basic physical ideas rather than the formal, mathematical aspects of the subject - Provides a careful and thorough treatment of Casimir and van der Waals forces at a level of detail not found in any other book on this topic - Clearly presents mathematical derivations

The Casimir Effect and Its Applications
The Casimir Effect and Its Applications

Author: Vladimir Mikhaĭlovich Mostepanenko

Publisher: Oxford University Press

Published: 1997

Total Pages: 222

ISBN-13: 9780198539988

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Of value to the general scientific public, this is the first book in the world scientific literature devoted to the Casimir effect. This topic has important applications in the fields of elementary particle physics, statistical physics, quantum field theory, gravitation and cosmology.

Proceedings of the Ninth Conference on Quantum Field Theory Under the Influence of External Conditions (QFEXT09)
Proceedings of the Ninth Conference on Quantum Field Theory Under the Influence of External Conditions (QFEXT09)

Author: Kimball A. Milton

Publisher: World Scientific

Published: 2010

Total Pages: 563

ISBN-13: 981428985X

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QFEXT is the leading international conference held every two years, highlighting progress in quantum vacuum energy phenomena, the Casimir effect, and related topics, both experimentally and theoretically. Most of the key players in the field are expected to be present. Thus the proceedings will be the definitive source of information on this field, which is playing an increasingly important role in nanotechnology and in understanding fundamental issues in physics such as renormalization and in the search for new physics such as fifth forces and dark energy. Proceedings of previous conferences in this series have been important, and like the conferences they summarize, have led to major progress in the two subsequent years. This is because, the fundamental aspects of quantum field theory; applications of all branches of physics, chemistry, nanoscience, and astrophysics; mathematical and experimental techniques described have wide applications and all leading groups and scientists working in this field will be represented.

Quantum Field Theory
Quantum Field Theory

Author: Bertfried Fauser

Publisher: Springer Science & Business Media

Published: 2009-06-02

Total Pages: 436

ISBN-13: 376438736X

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The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.

Quantum Field Theory
Quantum Field Theory

Author: Bertfried Fauser

Publisher: Birkhäuser

Published: 2009-08-29

Total Pages: 436

ISBN-13: 9783764398149

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The present volume emerged from the 3rd `Blaubeuren Workshop: Recent Developments in Quantum Field Theory', held in July 2007 at the Max Planck Institute of Mathematics in the Sciences in Leipzig/Germany. All of the contributions are committed to the idea of this workshop series: To bring together outstanding experts working in the field of mathematics and physics to discuss in an open atmosphere the fundamental questions at the frontier of theoretical physics.

Quantum Field Theory And Beyond: Essays In Honor Of Wolfhart Zimmermann - Proceedings Of The Symposium In Honor Of Wolfhart Zimmermann's 80th Birthday
Quantum Field Theory And Beyond: Essays In Honor Of Wolfhart Zimmermann - Proceedings Of The Symposium In Honor Of Wolfhart Zimmermann's 80th Birthday

Author: Erhard Seiler

Publisher: World Scientific

Published: 2008-10-22

Total Pages: 216

ISBN-13: 9814470244

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This book contains a collection of essays written in honor of Wolfhart Zimmermann's 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examples on how a subject has evolved, diversified and deepened over the course of several decades and how a single person can influence this process can find here a perfect illustration. Altogether, readers are treated to a high-brow intellectual adventure.