Download or read book Two Dimensional Quantum Gravity And Random Surfaces 8th Jerusalem Winter School For Theoretical Physics written by David J Gross and published by World Scientific. This book was released on 1991-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years there has been much study of random two dimensional surfaces. These provide simple models of string theories with a few degrees of freedom, as well as toy models of quantum gravity. They have possible applications to the statistical mechanics of phase boundaries and to the development of an effective string description of QCD.Recently, methods have been developed to treat these theories nonperturbatively, based on discrete triangulations of the surfaces that can be generated by simple matrix models. Exact solutions with a rich mathematical structure have emerged. All these matters are discussed fully in this book.
Download or read book Two Dimensional Quantum Gravity and Random Surfaces written by David Gross and published by . This book was released on 1992 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Correlated Electron Systems Proceedings Of The 9th Jerusalem Winter School For Theoretical Physics written by V Emery and published by World Scientific. This book was released on 1993-08-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the correlated motion of electrons in solids is of increasing importance in condensed matter physics. In the past few years, the discovery of high-temperature superconductors has stimulated an enormous theoretical effort in this area, building on earlier theories of heavy-fermion and organic superconductors, and magnetic insulators. In a separate development the discovery of the fractional quantum Hall effect stimulated research into the behavior of the two-dimensional electron gas in a strong transverse magnetic field.The lectures at this school gave a systematic presentation of the current status of the theory in these areas. They covered the fractional quantum Hall effect and the many-body physics of the Hubbard model and its extensions, paying particular attention to the properties of doped insulators which are relevant for high-temperature superconductivity. There were detailed discussions of situations for which controlled calculations may be carried out — specifically infinite dimensions, one dimension, and generalized models in which the fermions have N components and N → •.
Download or read book 2D Gravity in Non Critical Strings written by E. Abdalla and published by Springer Science & Business Media. This book was released on 2008-10-04 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of the use of the Liouville (and super-Liouville) equation in (super)string theory outside the critical dimension, and of the complementary approach based on the discretized space-time - known as the matrix model approach. The authors pay particular attention to supersymmetry, both in the continuum formulation and through the consideration of the super-eigenvalue problem. The methods presented here are important in a large number of complex problems, e.g. random surfaces, 2-D gravity and large-N quantum chromodynamics, and this comparitive study of the different methods permits a cross-evaluation of the results when both methods are valid, combined with new predictions when only one of the methods may be applied.
Download or read book Dialogues Between Physics and Mathematics written by Mo-Lin Ge and published by Springer Nature. This book was released on 2022-12-10 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. This emphasizes the Dialogue Between Physics and Mathematics that has been a central theme of Professor Yang’s contributions to contemporary science. Fittingly, the contributions to this volume range from experimental physics to pure mathematics, via mathematical physics. On the physics side, the contributions are from Sir Anthony Leggett (Nobel 2003), Jian-Wei Pan (Willis E. Lamb Award 2018), Alexander Polyakov (Breakthrough Prize 2013), Gerard 't Hooft (Nobel 1999), Frank Wilczek (Nobel 2004), Qikun Xue (Fritz London Prize 2020), and Zhongxian Zhao (Bernd T. Matthias Prize 2015), covering an array of topics from superconductivity to the foundations of quantum mechanics. In mathematical physics there are contributions by Sir Roger Penrose (Nobel 2022) and Edward Witten (Fields Medal 1990) on quantum twistors and quantum field theory, respectively. On the mathematics side, the contributions by Vladimir Drinfeld (Fields Medal 1990), Louis Kauffman (Wiener Gold Medal 2014), and Yuri Manin (Cantor Medal 2002) offer novel ideas from knot theory to arithmetic geometry. Inspired by the original ideas of C. N. Yang, this unique collection of papers b masters of physics and mathematics provides, at the highest level, contemporary research directions for graduate students and experts alike.
Download or read book Singapore National Bibliography written by and published by . This book was released on 1993 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fluctuating geometries in statistical mechanics and field theory written by François David and published by Elsevier Publishing Company. This book was released on 1996 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This session of was organized with two principal purposes. Firstly to introduce a common language and culture to a mixed audience, composed of field theorists, string theorists, condensed matter physicists and statistical mechanicians. Secondly, to expose young researchers to the recent advances in various areas of theoretical physics, where the concepts of extended objects, geometry and fluctuations are currently playing an important role.Courses included an introduction to the problem of random paths in disordered media; theoretical and numerical approaches to quantized geometries, from random paths to surfaces/strings to four-dimensional gravity; physics of amphiphilic membranes and the models of random surfaces used to describe them; defects in various physical systems; recent developments on the formulation of two-dimensional gauge theories as string theories. Problems of condensed matter physics were surveyed and a seminar on the renor
Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book High Energy Physics Index written by and published by . This book was released on 1992 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Directory of Published Proceedings written by and published by . This book was released on 1992 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book written by 国立国会図書館 (Japan) and published by . This book was released on 1900 with total page 1762 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Letters written by and published by . This book was released on 1995 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Index of Conference Proceedings written by British Library. Document Supply Centre and published by . This book was released on 1992 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Books in Print written by and published by . This book was released on 1997 with total page 1742 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaos Wormholes and Holography written by Jeremy van der Heijden and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Combining quantum mechanics and general relativity is one of the most important open problems in theoretical physics. A formal approach towards quantizing gravity is given by the gravitational path integral. However, dealing with quantum fluctuations of spacetime itself is in general a very complicated task. In this thesis, I therefore study a simple model of two-dimensional gravity in Anti-de Sitter (AdS) space where it is possible to calculate exactly a class of such quantum fluctuations, so-called Euclidean wormholes, which correspond to geometries with a non-trivial topology. This computation relies on the holographic principle: the idea that AdS gravity is dual to some microscopic quantum theory without gravity, a conformal field theory (CFT), that lives in one dimension less. Surprisingly, the non-trivial surfaces appear to contain important information about this underlying quantum theory: They point to a deep connection between quantum gravity and quantum chaos. To be precise, the results of this thesis show that black holes in two-dimensional AdS space obey the rules of quantum chaos, and that the relevant quantum effects can be realized geometrically in the path integral. This is an important step towards understanding the quantum nature of black holes. Finally, I study the role of geometric phases in the AdS/CFT correspondence, and show that the modular Berry phase in the CFT is holographically dual to a particular geometric quantity in the AdS space, the so-called bulk symplectic form."--
Download or read book Paperbound Books in Print written by and published by . This book was released on 1992 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Interaction of Ocean Waves and Wind written by Peter Janssen and published by Cambridge University Press. This book was released on 2004-10-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book was published in 2004. The Interaction of Ocean Waves and Wind describes in detail the two-way interaction between wind and ocean waves and shows how ocean waves affect weather forecasting on timescales of 5 to 90 days. Winds generate ocean waves, but at the same time airflow is modified due to the loss of energy and momentum to the waves; thus, momentum loss from the atmosphere to the ocean depends on the state of the waves. This volume discusses ocean wave evolution according to the energy balance equation. An extensive overview of nonlinear transfer is given, and as a by-product the role of four-wave interactions in the generation of extreme events, such as freak waves, is discussed. Effects on ocean circulation are described. Coupled ocean-wave, atmosphere modelling gives improved weather and wave forecasts. This volume will interest ocean wave modellers, physicists and applied mathematicians, and engineers interested in shipping and coastal protection.
