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Exact Methods in Low-dimensional Statistical Physics and Quantum Computing
Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics.
Polygons, Polyominoes and Polycubes
The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many oth...
Statistical Field Theories
Recent developments in theoretical physics include new instances of the unification of quite different phenomena. The theoretical community is challenged by the growing interactions between high-energy physics, statistical physics, and condensed matter physics. The common language, though, is exact solutions of two-dimensional and conformable field theories. This volume is a faithful representation of this interdisciplinary domain. Conformable and integrable field theories have been active research topics for several decades. The main recent developments concern the boundary effects and applications to disordered systems. The number of applications of the exact methods to condensed-matter problems has been growing over the years. Nowadays it is widely recognized that strongly interacting systems in low dimensions can be successfully described by integrable and conformable theories. This volume is an indispensable aid to those seeking to find their way in this domain.
Conformal Invariance: an Introduction to Loops, Interfaces and Stochastic Loewner Evolution
Conformal invariance has been a spectacularly successful tool in advancing our understanding of the two-dimensional phase transitions found in classical systems at equilibrium. This volume sharpens our picture of the applications of conformal invariance, introducing non-local observables such as loops and interfaces before explaining how they arise in specific physical contexts. It then shows how to use conformal invariance to determine their properties. Moving on to cover key conceptual developments in conformal invariance, the book devotes much of its space to stochastic Loewner evolution (SLE), detailing SLE’s conceptual foundations as well as extensive numerical tests. The chapters then elucidate SLE’s use in geometric phase transitions such as percolation or polymer systems, paying particular attention to surface effects. As clear and accessible as it is authoritative, this publication is as suitable for non-specialist readers and graduate students alike.
GROUP 24
One of the most enduring elements in theoretical physics has been group theory. GROUP 24: Physical and Mathematical Aspects of Symmetries provides an important selection of informative articles describing recent advances in the field. The applications of group theory presented in this book deal not only with the traditional fields of physics, but also include such disciplines as chemistry and biology. Awarded the Wigner Medal and the Weyl Prize, respectively, H.J. Lipkin and E. Frenkel begin the volume with their contributions. Plenary session contributions are represented by 18 longer articles, followed by nearly 200 shorter articles. The book also presents coherent states, wavelets, and applications and quantum group theory and integrable systems in two separate sections. As a record of an international meeting devoted to the physical and mathematical aspects of group theory, GROUP 24: Physical and Mathematical Aspects of Symmetries constitutes an essential reference for all researchers interested in various current developments related to the important concept of symmetry.
Integrability
This volume, 106 of the Les Houches Summer School series, brings together applications of integrability to supersymmetric gauge and string theory. The book focuses on the application of integrability and problems in quantum field theory. Particular emphasis is given to the exact solution of planar N=4 super-Yang-Mills theory and its relation with string theory on the one hand, and the exact determination of the low-energy physics of N=2 super-Yang-Mills theories on the other; links with other domains are also explored. The purpose of the Les Houches Summer School was to bring together young researchers and specialists from statistical physics, condensed matter physics, gauge and string theory, and mathematics, to stimulate discussion across these different research areas.
Beletra Almanako 35 (BA35 - Literaturo en Esperanto)
La tridek kvina numero de Beletra Almanako denove entenas originalajn kaj tradukitajn verkojn (prozon, poezion, eseojn, artikolojn, recenzojn) de konataj kaj novaj verkantoj: Miguel Bento, Gerrit Berveling, Marjorie Boulton, Jorge Camacho, Paulino Dias, István Ertl, Miguel Fernández, Hoss Firooznia, Petru Ilieșu, Jesper Lykke Jacobsen, Carolus Linnaeus, Lukiano, Sten Johansson, Miquel Martí i Pol, Suso Moinhos, Abel Montagut, Nicola Ruggiero, Katja Steele, Antonio Valén.
Beletra Almanako 40 (BA40 - Literaturo en Esperanto)
This is the fortieth volume of Beletra Almanako, a literary almanac in Esperanto, now in its fifteenth year of existence! --- La kvardeka numero de Beletra Almanako denove enhavas originalajn kaj tradukitajn verkojn (prozon, poezion, eseon, intervjuon, artikolon, recenzojn) de konataj kaj novaj verkantoj: Massimo Acciai Baggiani, Javier Alcalde, Ulrich Becker, Bozidar Brezinsčak Bagola, Mikaelo Bronŝtejn, Jorge Camacho, Giulio Cappa, Antoine Cassar, Gianni Celati, Christian Cimpa, Fernando de Diego, Kristján Eiríksson, István Ertl, Klára Ertl, José de Espronceda, Evgenij Georgiev, Jesús González Jurado, Edmund Grimley Evans, Fratoj Grimm, Sten Johansson, Ari Jósefsson, Heinz Kahlau, Elżbieta Karczewska, Anna Löwenstein, Mao Zifu, Carlo Menzinger di Preussenthal, Lee Miller, Marc van Oostendorp, Araceli PulpilloEddy Raats, Pedro Sáez Serrano, Runar Schildt, Esther Schor, Brandon Sowers, Sara Spanò, Anina Stecay, Nachoem M. Wijnberg.
Beletra Almanako 43 (BA43 - Literaturo en Esperanto)
This is the forty third volume of Beletra Almanako, a literary almanac in Esperanto, now in its sixteenth year of existence! --- La kvardek tria numero de Beletra Almanako denove enhavas originalajn kaj tradukitajn verkojn (prozon, poezion, eseon, teatron, artikolojn, recenzojn) de jenaj konataj kaj novaj verkantoj: Davide Astori, Hans E. Becklin, Marjorie Boulton, Mikaelo Bronŝtejn, Dino Buzzati, Jorge Camacho, Probal Daŝgupto, Nicolau Dols, Pascal Dubourg Glatigny, István Ertl, Miguel Fernández, Gian Carlo Fighiera, Jesper Lykke Jacobsen, Wim Jansen, Sten Johansson, Dezső Kosztolányi, Jorge Rafael Nogueras, Benoît Philippe, Veronika Poór, Sara Spanò, Taras Ŝevĉenko, Spomenka Stimec.
Beletra Almanako 22 (BA22 - Literaturo en Esperanto)
This is the twenty second volume of Beletra Almanako, a literary almanac in Esperanto, now in its ninth year of existence! --- La dudek dua numero de Beletra Almanako entenas originalajn kaj tradukitajn verkojn (prozon, poezion, eseojn, artikolojn, recenzojn) de Tatjana Auderskaja, José Antonio del Barrio, Olinda Beja, Elisée By'élongo Ishéloke, Jorge Camacho, Giulio Cappa, Probal Daŝgupto, Christian Declerck, Nyegosh Dube, István Ertl, Alfred Hejdok, Wim Jansen, Sten Johansson, Kalle Kniivilä, Ulrich Lins, Kris Long, Jesper Lykke Jacobsen, Mao Zifu, Efthimios Mavrageorgiades, Julian Modest, Suso Moinhos, Ludmila Novikova, Raoul Precht, Aleksandr Puŝkin, Baldur Ragnarsson, Árpád Rátkai , Ricardo F. Albert Reyna, Tomas Riad, Trevor Steele, George Szirtes, Gennadij Ŝlepĉenko.
