Marc Henneaux

Classical Foundations of BRST Symmetry

Alexander Sevrin

David Gross

Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full."

Proceedings of the 23rd Solvay Conference on Physics, Brussels, Belgium, 1-3 December, 2005

The Quantum Structure of Space and Time

Francqui Colloquium (5 : 2001 : Bruxelles)

Alexandre Sevrin

La théorie de la gravitation d'Einstein ("relativité générale") est un des piliers de la physique moderne. Cette théorie a connu des développements spectaculaires ces dernières années, aussi bien sur le plan expérimental que sur le plan théorique. En particulier, la théorie des cordes, née il y a une quinzaine d'années, offre des perspectives remarquables d'unification de la force gravitationnelle aux autres forces fondamentales - réalisant ainsi un des vieux rêves d'Einstein. Cet ouvrage rassemble les contributions des experts mondiaux du domaine ayant participé au colloque Francqui qui s'est tenu sur ce thème à Bruxelles du 19 au 21 octobre 2001. Einstein theory of gravity is one of the pillars of modern physics. In the last years, this theory has undergone dramatic developments, both on the experimental and theoretical sides. In particular, string theory, which started in the last quarter of the XXth century, offers remarkable prospects to unify all the fundamental interactions - realizing thereby one of the Einstein's dreams. This book contains the contributions of the world leaders in the field who took part in the "Francqui conference" held on this theme in Brussels in October 2001.

Tying the Forces Together

Strings and Gravity

Vladimir Belinski

This book mathematically derives the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on the general solution of the Einstein equations with a cosmological singularity.

The Cosmological Singularity

Aleksandr Mikhaĭlovich Vinogradov

This collection of invited lectures (at the Conference on Secondary Calculus and Cohomological Physics, Moscow) reflects the state-of-the-art in a new branch of mathematics and mathematical physics arising at the intersection of geometry of nonlinear differential equations, quantum field theory, and cohomological algebra. This is the first comprehensive and self-contained book on modern quantum field theory in the context of cohomological methods and the geometry of nonlinear PDEs. It features: an up-to-date and self-contained exposition of the newest results in cohomological aspects of quantum field theory and the geometry of PDEs; a new look at interrelations among cohomology theory, the geometry of PDEs, and field theory; and, application to Batalin-Vilkovisky formalism, BRST formalism, anomalies, and quantum dynamics.

Proceedings of a Conference on Secondary Calculus and Cohomological Physics, August 24-31, 1997, Moscow, Russia

Secondary Calculus and Cohomological Physics

Ever since 1911, the Solvay Conferences have shaped modern physics. The 25th edition held in October 2011 in Brussels and chaired by David Gross continued this tradition and celebrated the first centennial of this illustrious series of conferences. The development and applications of quantum mechanics have always been the main threads in the history of the Solvay Conferences, hence the 25th Solvay conference gathered many of the leading figures working on a wide variety of profound problems in physics where quantum mechanical effects play a central role. The conference addressed some of the most pressing open questions in the field of physics.The proceedings contain the OC rapporteur talksOCO which give a broad overview with unique insights by distinguished and renowned scientists. These lectures cover the seven sessions: OC History and ReflectionsOCO, OC Foundations of Quantum Mechanics and Quantum ComputationOCO, OC Control of Quantum SystemsOCO, OC Quantum Condensed MatterOCO, OC Particles and FieldsOCO, OC Quantum Gravity and String TheoryOCO and it ended with a general discussion attempting to arrive at a synthesis.In the Solvay tradition, the proceedings also include the prepared comments to the rapporteur talks. The discussions among the participants OCo some of which quite lively and involving dramatically divergent points of view OCo have been carefully edited and are reproduced in full.

Proceedings of the 25th Solvay Conference on Physics, Brussels, Belgium 19-22 October 2011

The Theory of the Quantum World

Ever since 1911, the Solvay Conferences have shaped modern physics. The 25th edition held in October 2011 in Brussels and chaired by David Gross continued this tradition and celebrated the first centennial of this illustrious series of conferences. The development and applications of quantum mechanics have always been the main threads in the history of the Solvay Conferences, hence the 25th Solvay conference gathered many of the leading figures working on a wide variety of profound problems in physics where quantum mechanical effects play a central role. The conference addressed some of the most pressing open questions in the field of physics. The proceedings contain the “rapporteur talks” which give a broad overview with unique insights by distinguished and renowned scientists. These lectures cover the seven sessions: “History and Reflections”, “Foundations of Quantum Mechanics and Quantum Computation”, “Control of Quantum Systems”, “Quantum Condensed Matter”, “Particles and Fields”, “Quantum Gravity and String Theory” and it ended with a general discussion attempting to arrive at a synthesis. In the Solvay tradition, the proceedings also include the prepared comments to the rapporteur talks. The discussions among the participants — some of which quite lively and involving dramatically divergent points of view — have been carefully edited and are reproduced in full. Contents:History and Reflections (M Henneaux, J Heilbron and M Gell-Mann)Foundations of Quantum Mechanics and Quantum Computation (A Aspect, A Leggett and J Preskill)Control of Quantum Systems (P Zoller, I Cirac and S Girvin)Quantum Condensed Matter (B Halperin and S Sachdev)Particles and Fields (H Georgi and F Wilczek)Quantum Gravity and String Theory (J Polchinski, J Maldacena and A Guth)General Discussion and Conclusions (D Gross, A Aspect, P Zoller, B Halperin, H Georgi and J Polchinski) Readership: Graduate students and researchers in physics. Keywords:Quantum Physics;Solvay ConferenceKey Features:Presents a broad overview of the role of quantum mechanics in contemporary physicsThe rapporteur talks, given by the leaders in the field, provide a beautiful review of the state of the art in each of the subfields discussedThe discussions — transcribed in full — provide a unique view on the thoughts of some of the most outstanding physicistsReviews: “This book does full justice to the great reputation of the Solvay Conferences. Some of the discussions are on the same topics as in the old days, many are new. It testifies that fundamental physics is still a thriving field of research.” Gerard 't Hooft Nobel Laureate “The 25th Solvay Conference had an ambitious theme: The theory of the quantum world, including foundations of quantum physics, cosmology, particle physics, condensed matter physics, quantum control and quantum simulations. It was exciting to see the strong connections between those different areas, and this excitement has been captured in these proceedings. This book documents that 100 years after the first Solvay Conference in Physics, quantum physics still poses puzzles and reveals surprises.” Wolfgang Ketterle Nobel Laureate “The 25th Solvay Conference of Physics was an extremely exciting event. It joined the tradition started by the original Solvay meetings at the beginning of the 20th century. A comprehensive overview of the status of Quantum Mechanics and its applications was presented by the world experts and the outstanding problems were discussed deeply. It is clear that this meeting will be as important and as influential as the previous Solvay meetings. The proceedings are an insightful reference about the broad range of topics that were discussed. Just like the previous proceedings, this will also be a document of historic significance.” Nathan Seiberg IAS Princeton “This was one of the most interesting meetings I attended in the last few years. I very much enjoyed being updated on current issues in particle physics, cosmology, and quantum gravity — topics that I wouldn't hear about in conferences that I typically attend. Nearly all talks were presented at an accessible level for the non-specialist, and the extended-discussion format was very informative.” David Wineland Nobel Laureate “Highly selected group of physicists, famous or very promising, were invited to assess recent advances and open problems.” RECENSIONI

Marc Henneaux

About

Books

Join the club