Gerard 'T Hooft - Böcker

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi­ tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry.

This is a first-hand account of one of the most creative and exciting periods of discovery in the history of physics. From 1960 until 1990 theoreticians and experimentalists worked together to probe deeper and deeper into the basic structure of reality, moving closer and closer to an understanding of the ultimate building blocks from which everything in the Universe is made. Gerard 't Hooft was closely involved in many of the advances in the development of the subject. In this book he gives a personal account of the process by which physicists came to understand the structure of matter, and to speculate on possible directions in which the subject may evolve in the future. This fascinating personal account of the last thirty years in one of the most dramatic areas in twentieth century physics will be of interest to professional physicists and physics students, as well as the educated general reader with an interest in one of the most exciting scientific detective stories ever.

This is a first-hand account of one of the most creative and exciting periods of discovery in the history of physics. From 1960 until 1990 theoreticians and experimentalists worked together to probe deeper and deeper into the basic structure of reality, moving closer and closer to an understanding of the ultimate building blocks from which everything in the Universe is made. Gerard 't Hooft was closely involved in many of the advances in the development of the subject. In this book he gives a personal account of the process by which physicists came to understand the structure of matter, and to speculate on possible directions in which the subject may evolve in the future. This fascinating personal account of the last thirty years in one of the most dramatic areas in twentieth century physics will be of interest to professional physicists and physics students, as well as the educated general reader with an interest in one of the most exciting scientific detective stories ever.

Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad­ vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al­ gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par­ ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte­ grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.

The 1996 NATO Advanced Study Institute (ASI) followed the international tradi­ tion of the schools held in Cargese in 1976, 1979, 1983, 1987 and 1991. Impressive progress in quantum field theory had been made since the last school in 1991. Much of it is connected with the interplay of quantum theory and the structure of space time, including canonical gravity, black holes, string theory, application of noncommutative differential geometry, and quantum symmetries. In addition there had recently been important advances in quantum field theory which exploited the electromagnetic duality in certain supersymmetric gauge theories. The school reviewed these developments. Lectures were included to explain how the "monopole equations" of Seiberg and Witten can be exploited. They were presented by E. Rabinovici, and supplemented by an extra 2 hours of lectures by A. Bilal. Both the N = 1 and N = 2 supersymmetric Yang Mills theory and resulting equivalences between field theories with different gauge group were discussed in detail. There are several roads to quantum space time and a unification of quantum theory and gravity. There is increasing evidence that canonical gravity might be a consistent theory after all when treated in. a nonperturbative fashion. H. Nicolai presented a series of introductory lectures. He dealt in detail with an integrable model which is obtained by dimensional reduction in the presence of a symmetry.

In this small book, theoretical physicist Gerard 't Hooft (Nobel prize 1999), philosopher Emanuele Severino (Lincei Academician), and theologian Piero Coda (Pontifical Lateran University) confront one another on a topic that lies at the roots of quantum mechanics and at the origin of Western thought: Determinism and Free Will. "God does not play dice" said Einstein, a tenacious determinist. Quantum Mechanics and its clash with General Relativity have reanimated ancient dilemmas about chance and necessity: Is Nature deterministic? Is Man free? The “free-will theorem” by Conway and Kochen, and the deterministic interpretation of quantum mechanics proposed by 't Hooft, revive such philosophical questions in modern Physics. Is Becoming real? Is the Elementary Event a product of the Case? The cyclopean clash between Heraclitus and Parmenides has entered a new episode, as evidenced by the essays in this volume.

This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual.

This book presents the deterministic view of quantum mechanics developed by Nobel Laureate Gerard 't Hooft. Dissatisfied with the uncomfortable gaps in the way conventional quantum mechanics meshes with the classical world, 't Hooft has revived the old hidden variable ideas, but now in a much more systematic way than usual.

Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight — together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).

Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight — together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).

UNDER THE SPELL OF THE GAUGE PRINCIPLE — by G 't HooftThe University of Bologna and its Academy of Sciences, in collaboration with the Italian National Institute for Nuclear Physics and the Italian Physical Society, celebrated in 1998 the bicentenary of a great pioneer in the field of electric phenomena — Luigi Galvani, the father of macroelectricity. During these two centuries, the physics of electric phenomena has given rise first to the Maxwell equations, then to quantum electrodynamics, and finally to the synthesis of all reproducible phenomena, the “Standard Model”. A cornerstone of the Standard Model is quantum chromodynamics (QCD), which describes the interaction between quarks and gluons in the innermost part of the structure of matter.The discovery of QCD will be recalled in the future as one of the greatest achievements of mankind. Many physicists, the world over, have contributed to its creation on both the experimental and the theoretical front. Professor Antonino Zichichi has played an important role in this scientific venture, as documented by his works which are reproduced in this invaluable volume.One of the founders of European physics, Professor Victor F Weisskopf, contributes with his memories of the time when QCD had many problems. This volume owes its existence to a founding father of QCD, Professor Vladimir N Gribov, whose sudden demise prevented him from directly contributing to its final edition. Two world leaders in subnuclear theoretical physics, Professors Gerardus 't Hooft and Gabriele Veneziano, illustrate the significance of the contributions of Antonino Zichichi in QCD.

“It was a brilliant idea to signal the 50th birthday of Yang-Mills theory by gathering together a wide range of articles by leading experts on many aspects of the subject. The result is a most handsome tribute of both historical and current interest, and a substantial addition to the existing literature …This unusual and elegant festschrift is a treat for theorists.”CERN CourierOn the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea.During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rújula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory.

“It was a brilliant idea to signal the 50th birthday of Yang-Mills theory by gathering together a wide range of articles by leading experts on many aspects of the subject. The result is a most handsome tribute of both historical and current interest, and a substantial addition to the existing literature …This unusual and elegant festschrift is a treat for theorists.”CERN CourierOn the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea.During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics.An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rújula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory.

If you think the future is a mystery, think again. With a solid foothold in realism, an extraordinary insight into scientific and technological developments, and a dry sense of humor, Nobel laureate Professor Gerard 't Hooft confidently dissects fact from fiction and shows us what our future might really hold. Professor 't Hooft takes the reader firmly by the hand and, within the boundaries of solid physics and proven laws of nature, takes us on a ride into the world of the future, which holds remarkable surprises for us all. “Do you dream of intergalaxy space travel, time warps, and mini-mes?” 't Hooft asks. “Then please, get yourself some more science fiction books, for fiction it is. But for those who are interested in the real world, let me tell you what we CAN expect for the future.” We meet robots with a sense of irony, ride elevators into space, and build floating cities; let us just say that Playing with Planets, which is translated from the original Dutch edition by Professor 't Hooft's daughter Saskia, supports the old adage that truth is indeed stranger than fiction.

If you think the future is a mystery, think again. With a solid foothold in realism, an extraordinary insight into scientific and technological developments, and a dry sense of humor, Nobel laureate Professor Gerard 't Hooft confidently dissects fact from fiction and shows us what our future might really hold. Professor 't Hooft takes the reader firmly by the hand and, within the boundaries of solid physics and proven laws of nature, takes us on a ride into the world of the future, which holds remarkable surprises for us all. “Do you dream of intergalaxy space travel, time warps, and mini-mes?” 't Hooft asks. “Then please, get yourself some more science fiction books, for fiction it is. But for those who are interested in the real world, let me tell you what we CAN expect for the future.” We meet robots with a sense of irony, ride elevators into space, and build floating cities; let us just say that Playing with Planets, which is translated from the original Dutch edition by Professor 't Hooft's daughter Saskia, supports the old adage that truth is indeed stranger than fiction.

This volume is a collection of selected papers by Pierre van Baal on the subject of quark-gluon interactions. He concentrates on semi-perturbative phenomena that occur when these particles are confined to a box. He introduced in 1998 the notion of calorons to explain what happens in the high temperature phase of the quark-gluon plasma. Van Baal's discoveries of the mathematical intricacies of twisted gluon field configurations have left their mark on the field, opening new directions for numerical simulations. This reprint is intended to be a comprehensive introduction for all those who wish to have deeper understanding of quark-gluon dynamics.

With a Foreword by Steven WeinbergIn this richly illustrated book, Nobel Laureate Gerard 't Hooft and Theoretical Physicist Stefan Vandoren describe the enormous diversity of natural phenomena that take place at different time scales.In the tradition of the bestseller Powers of Ten, the authors zoom in and out in time, each step with a factor of ten. Starting from one second, time scales are enlarged until processes are reached that take much longer than the age of the universe. After the largest possible eternities, the reader is treated to the shortest and fastest phenomena known. Then the authors increase with powers of ten, until again the second is reached at the end of the book.At each time scale, interesting natural phenomena occur, spread over all scientific disciplines: orbital and rotation periods of planets and stars, decay times of elementary particles and atoms, biological rhythms and evolution processes, but also the different geological time scales. remove