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Quantization Of Gauge Systems

Author : Marc Henneaux
ISBN : 9780691213866
Genre : Mathematics
File Size : 65. 66 MB
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This book is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical foundations of BRST theory are then laid out with a review of the necessary concepts from homological algebra. Reducible gauge systems are discussed, and the relationship between BRST cohomology and gauge invariance is carefully explained. The authors then proceed to the canonical quantization of gauge systems, first without ghosts (reduced phase space quantization, Dirac method) and second in the BRST context (quantum BRST cohomology). The path integral is discussed next. The analysis covers indefinite metric systems, operator insertions, and Ward identities. The antifield formalism is also studied and its equivalence with canonical methods is derived. The examples of electromagnetism and abelian 2-form gauge fields are treated in detail. The book gives a general and unified treatment of the subject in a self-contained manner. Exercises are provided at the end of each chapter, and pedagogical examples are covered in the text.

Hamiltonian Mechanics Of Gauge Systems

Author : Lev V. Prokhorov
ISBN : 9781139500906
Genre : Science
File Size : 80. 1 MB
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The principles of gauge symmetry and quantization are fundamental to modern understanding of the laws of electromagnetism, weak and strong subatomic forces and the theory of general relativity. Ideal for graduate students and researchers in theoretical and mathematical physics, this unique book provides a systematic introduction to Hamiltonian mechanics of systems with gauge symmetry. The book reveals how gauge symmetry may lead to a non-trivial geometry of the physical phase space and studies its effect on quantum dynamics by path integral methods. It also covers aspects of Hamiltonian path integral formalism in detail, along with a number of related topics such as the theory of canonical transformations on phase space supermanifolds, non-commutativity of canonical quantization and elimination of non-physical variables. The discussion is accompanied by numerous detailed examples of dynamical models with gauge symmetries, clearly illustrating the key concepts.

Classical And Quantum Dynamics Of Constrained Hamiltonian Systems

Author : Heinz J. Rothe
ISBN : 9789814299657
Genre : Mathematics
File Size : 43. 34 MB
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This book is an introduction to the field of constrained Hamiltonian systems and their quantization, a topic which is of central interest to theoretical physicists who wish to obtain a deeper understanding of the quantization of gauge theories, such as describing the fundamental interactions in nature. Beginning with the early work of Dirac, the book covers the main developments in the field up to more recent topics, such as the field-antifield formalism of Batalin and Vilkovisky, including a short discussion of how gauge anomalies may be incorporated into this formalism. The book is comprehensive and well-illustrated with examples, enables graduate students to follow the literature on this subject without much problems, and to perform research in this field.

Quantization Of Simple Parametrized Systems

Author : Guilio Ruffini
ISBN : UCAL:X55754
Genre :
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Solitons And Instantons Operator Quantization

Author : Vitaliĭ Lazarevich Ginzburg
ISBN : UVA:X001323140
Genre : Science
File Size : 25. 65 MB
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Progress Of Theoretical Physics

Author :
ISBN : UVA:X002446404
Genre : Mathematical physics
File Size : 73. 13 MB
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Gauge Invariance And Weyl Polymer Quantization

Author : Franco Strocchi
ISBN : 9783319176956
Genre : Science
File Size : 63. 38 MB
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The book gives an introduction to Weyl non-regular quantization suitable for the description of physically interesting quantum systems, where the traditional Dirac-Heisenberg quantization is not applicable. The latter implicitly assumes that the canonical variables describe observables, entailing necessarily the regularity of their exponentials (Weyl operators). However, in physically interesting cases -- typically in the presence of a gauge symmetry -- non-observable canonical variables are introduced for the description of the states, namely of the relevant representations of the observable algebra. In general, a gauge invariant ground state defines a non-regular representation of the gauge dependent Weyl operators, providing a mathematically consistent treatment of familiar quantum systems -- such as the electron in a periodic potential (Bloch electron), the Quantum Hall electron, or the quantum particle on a circle -- where the gauge transformations are, respectively, the lattice translations, the magnetic translations and the rotations of 2π. Relevant examples are also provided by quantum gauge field theory models, in particular by the temporal gauge of Quantum Electrodynamics, avoiding the conflict between the Gauss law constraint and the Dirac-Heisenberg canonical quantization. The same applies to Quantum Chromodynamics, where the non-regular quantization of the temporal gauge provides a simple solution of the U(1) problem and a simple link between the vacuum structure and the topology of the gauge group. Last but not least, Weyl non-regular quantization is briefly discussed from the perspective of the so-called polymer representations proposed for Loop Quantum Gravity in connection with diffeomorphism invariant vacuum states.

High Energy Physics Index

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ISBN : PSU:000052636141
Genre : Particles (Nuclear physics)
File Size : 27. 87 MB
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Lectures On Quantum Field Theory Second Edition

Author : Ashok Das
ISBN : 9789811220883
Genre : Science
File Size : 73. 93 MB
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This book comprises the lectures of a two-semester course on quantum field theory, presented in a quite informal and personal manner. The course starts with relativistic one-particle systems, and develops the basics of quantum field theory with an analysis on the representations of the Poincaré group. Canonical quantization is carried out for scalar, fermion, Abelian and non-Abelian gauge theories. Covariant quantization of gauge theories is also carried out with a detailed description of the BRST symmetry. The Higgs phenomenon and the standard model of electroweak interactions are also developed systematically. Regularization and (BPHZ) renormalization of field theories as well as gauge theories are discussed in detail, leading to a derivation of the renormalization group equation. In addition, two chapters — one on the Dirac quantization of constrained systems and another on discrete symmetries — are included for completeness, although these are not covered in the two-semester course.This second edition includes two new chapters, one on Nielsen identities and the other on basics of global supersymmetry. It also includes two appendices, one on fermions in arbitrary dimensions and the other on gauge invariant potentials and the Fock-Schwinger gauge.

Physics Letters Part B

Author :
ISBN : UCAL:B4488433
Genre :
File Size : 34. 50 MB
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American Journal Of Physics

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ISBN : UOM:39015047892339
Genre : Physics
File Size : 30. 8 MB
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Constrained Dynamics And Quantum Gravity 1996

Author : Vittorio De Alfaro
ISBN : UOM:39015041233621
Genre : Black holes (Astronomy)
File Size : 25. 30 MB
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Journal Of Physics A

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ISBN : UCAL:B4491393
Genre : Mathematical physics
File Size : 58. 58 MB
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Physics Briefs

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ISBN : UOM:39015027832933
Genre : Physics
File Size : 59. 94 MB
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Theoretical And Mathematical Physics

Author :
ISBN : CHI:52063577
Genre : Mathematical physics
File Size : 83. 6 MB
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Journal Of Physics

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ISBN : UCAL:B4491363
Genre : Mathematical physics
File Size : 52. 9 MB
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Nuclear Physics

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ISBN : UCSD:31822020336723
Genre : Nuclear physics
File Size : 21. 35 MB
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Computing Anticipatory Systems

Author : D. M. Dubois
ISBN : STANFORD:36105119449580
Genre : Computers
File Size : 21. 39 MB
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The scope of these proceedings is the study, research, and development in the new frontier of science dealing with the paradigm of computing anticipatory systems. A computing anticipatory system is a system which computes its current states in taking into account its anticipatory states. Strong anticipation refers to an anticipation of events built by or embedded in a system. Weak anticipation refers to an anticipation of events predicted or forecast from a model of a system. These proceedings include all the papers by invited speakers who received awards at CASYS'03 as well as a selection of invited papers. Topics include: relativity, quantum mechanics and biophysical systems; anticipatory systems, adaptation and hyperincursion; mathematical models, chaos and soft computing; logic, algorithms and computing systems; living systems, evolution and cognitive models; decision support, enterprise and management models and control systems, simulation and chaos.

Ten Years Of Ads Cft

Author : José D. Edelstein
ISBN : UCSD:31822036960581
Genre : Science
File Size : 37. 72 MB
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The Conference celebrated the tenth anniversary of Maldacena's conjecture, which is of paramount importance to the understanding of the relation between Quantum Field Theory, Supergravity and String Theory. Theoreticians who played a seminal role in the development of these ideas lectured at the conference. Twenty five speakers encompassing different directions and applications of the gauge/gravity duality discussed its achievements and future prospects. The aim of this volume is to make accessible to a larger audience the topics covered during the conference. The main applications of the conjecture concern high energy physics; however, aspects of cosmology and condensed matter physics are also relevant and included. Forewords by Gerard 't Hooft, Alexander Polyakov and Edward Witten further enrich the contents of this volume.

Canadian Journal Of Physics

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ISBN : MINN:31951P01138017P
Genre : Physics
File Size : 21. 13 MB
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