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Quantization Of Fields With Infinite Dimensional Invariance Groups Ii Anticommuting Fields
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Book Synopsis Quantization of Fields with Infinite-dimensional Invariance Groups. Ii. Anticommuting Fields by : BRYCE S. DEWITT
Download or read book Quantization of Fields with Infinite-dimensional Invariance Groups. Ii. Anticommuting Fields written by BRYCE S. DEWITT and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Green's function approach to the definition of commutators for fields possessing infinite dimensional invariance groups is extended to the case of anticommuting fields. The discussion is restricted to fields which provide linear homogeneous or inhomogeneous representations of the group, a restriction which excludes no case of practical interest and facilitates setting up the formalism in a manifestly covariant way. Selfconsistency of supplementary conditions, Huygens' principle and reciprocity relations are established just as for commuting fields. Careful attention must be paid to the ordering of anticommuting factors, particularly in the demonstration of the Poisson-Jacobi identity. The invariance properties of the Poisson bracket are investigated in detail and the notion of conditional invariant is introduced. A special class of conditional invariants called asymptotic invariants, which give a complete physical characterization of initial and final states of the dynamical system, is studied. (Author).
Book Synopsis Quantization of Fields with Infinite-dimensional Invariance Groups by : Bryce Seligman DeWitt
Download or read book Quantization of Fields with Infinite-dimensional Invariance Groups written by Bryce Seligman DeWitt and published by . This book was released on 1960 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general approach to the problems of quantizing fields which have infinite dimensional invariance groups is given. Space and time are treated on a completely equal footing. A Poisson bracket is defined by means of Green's functions, independently of the discovery or recognition of canonical variables, and is shown to satisfy all the usual identities. In accordance with the measurement theoretical foundations of the quantum theorgy, the Poisson bracket (i.e., commutator) is defined only for physically measurable group invariants. The Green's functions give a direct description of the propagation of small disturbances arising from a pair of mutally interfering measurements.
Book Synopsis Quantization of Fields with Infinite Dimensional Invariance Groups by : Bryce Seligman DeWitt
Download or read book Quantization of Fields with Infinite Dimensional Invariance Groups written by Bryce Seligman DeWitt and published by . This book was released on 1960 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general approach to the problems of quantizing fields which have infinite dimensional invariance groups is given. Space and time are treated on a completely equal footing. A Poisson bracket is defined by means of Green's functions, independently of the discovery or recognition of canonical variables, and is shown to satisfy all the usual identities. In accordance with the measurement theoretical foundations of the quantum theorgy, the Poisson bracket (i.e., commutator) is defined only for physically measurable group invariants. The Green's functions give a direct description of the propagation of small disturbances arising from a pair of mutally interfering measurements.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 1146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantization of Fields with Infinite-dimensional Invariance Groups. Iii. Generalized Schwinger-feynman Theory by : BRYCE S. DEWITT
Download or read book Quantization of Fields with Infinite-dimensional Invariance Groups. Iii. Generalized Schwinger-feynman Theory written by BRYCE S. DEWITT and published by . This book was released on 1962 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear field theories having elementary vertex functions of arbitrarily high order are presented. Emphasis is given to purely formal aspects of the theory which may be expected to survive generalization to situations in which standard asymptotic conditions are inapplicable. Since the context in which the field nonlinearities are assumed to appear is that of a non-Abelian infinite dimensional invariance group, detailed attention is given to the question of a group invariant measure for the Feynman functional integral. It is shown that the physically important part of the measure is not determined by the group. The theory of the propagators and correlation functions are also given which characterize the system when invariant variables are introduced. The existence of a c-number action functional which contains a complete description of all quantum processes is proved. The second variational derivatives of this functional constitute the wave operator for the one-particle propagators (including all radiative corrections) and its higher derivatives are the renormalized vertex functions. Finally, the implications for application to quantum gravidynamics are discussed. Because it leads to nonlocal covariant equations for a complex metric tensor the way is open to transmutations of topology at the quantum level. (Author).
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1969-10 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Cécile DeWitt-Morette Publisher :Springer Science & Business Media ISBN 13 :3642142702 Total Pages :161 pages Book Rating :4.6/5 (421 download)
Book Synopsis The Pursuit of Quantum Gravity by : Cécile DeWitt-Morette
Download or read book The Pursuit of Quantum Gravity written by Cécile DeWitt-Morette and published by Springer Science & Business Media. This book was released on 2011-02-15 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1946 is the year Bryce DeWitt entered Harvard graduate school. Quantum Gravity was his goal and remained his goal throughout his lifetime until the very end. The pursuit of Quantum Gravity requires a profound understanding of Quantum Physics and Gravitation Physics. As G. A. Vilkovisky commented , "Quantum Gravity is a combination of two words, and one should know both. Bryce understood this as nobody else, and this wisdom is completely unknown to many authors of the flux of papers that we see nowadays." Distingished physicist Cecile DeWitt-Morette skillfully blends her personal and scientific account with a wealth of her late husband's often unpublished writings on the subject matter. This volume, through the perspective of the leading researcher on quantum gravity of his generation, will provide an invaluable source of reference for anyone working in the field.
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1962 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Gauge Invariance and Weyl-polymer Quantization by : Franco Strocchi
Download or read book Gauge Invariance and Weyl-polymer Quantization written by Franco Strocchi and published by Springer. This book was released on 2015-11-12 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Infinite Quantum Group Symmetry of Fields in Massive 2d Quantum Field Theory by : André LeClair
Download or read book Infinite Quantum Group Symmetry of Fields in Massive 2d Quantum Field Theory written by André LeClair and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantization and Infinite-dimensional Systems by : Jean Pierre Antoine
Download or read book Quantization and Infinite-dimensional Systems written by Jean Pierre Antoine and published by Springer Science & Business Media. This book was released on 1994 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers from the July 1993 workshop treat topics such as field theory, geometric quantization and symplectic geometry, coherent states methods, holomorphic representation theory, Poisson structures, non-commutative geometry, and supersymmetry. Annotation copyright Book News, Inc. Portland, Or.
Book Synopsis Infinite Dimensional Lie Algebras and Quantum Field Theory by : Heinz Dietrich Doebner
Download or read book Infinite Dimensional Lie Algebras and Quantum Field Theory written by Heinz Dietrich Doebner and published by . This book was released on 1988 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Index of Research Results by : United States. Air Force
Download or read book Index of Research Results written by United States. Air Force and published by . This book was released on 1962 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Renormalization and Invariance in Quantum Field Theory by : Eduardo Caianiello
Download or read book Renormalization and Invariance in Quantum Field Theory written by Eduardo Caianiello and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter of this Advanced Study Institute, which has been rendered possible by the generous support of NATO, gratefully acknow ledged here, is of central importance to quantum field theory today. The problems involved are both deep and complicated, to a point that perhaps does not find easily a parallel in other branches of theoret ical physics. From the first rule-of-thumb prescriptions on how to perform renormalization to the most recent advances--which brighten our hopes to find, eventually, in field theory indications as to the ultimate composition of matter--a great amount of progress has cer tainly been made. We were fortunate to have among us many of the people who have most contributed to past and recent developments. Although clues that point to what to do next are clearer now than might have been expected only a few years ago, much hard work is still ahead. It is hoped that both our meeting, which brought to gether leaders in the field as well as bright and eager beginners, and the present volume, based on the NATO meeting, may be useful as a mise-a-point and as an up-to-date reference book for researchers interested in the field.
Book Synopsis Non-perturbative Methods in 2 Dimensional Quantum Field Theory by : Elcio Abdalla
Download or read book Non-perturbative Methods in 2 Dimensional Quantum Field Theory written by Elcio Abdalla and published by World Scientific. This book was released on 2001 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings. This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory. Contents: Free Fields; The Thirring Model; Determinants and Heat Kernels; Self-Interacting Fermionic Models; Nonlinear a Models: Classical Aspects; Nonlinear a Models OCo Quantum Aspects; Exact S-Matrices of 2D Models; The Wess-Zumino-Witten Theory; QED 2: Operator Approach; Quantum Chromodynamics; QED 2: Functional Approach; The Finite Temperature Schwinger Model; Non-Abelian Chiral Gauge Theories; Chiral Quantum Electrodynamics; Conformally Invariant Field Theory; Conformal Field Theory with Internal Symmetry; 2D Gravity and String-Related Topics. Readership: Graduate students and researchers in high energy and quantum physics."
Book Synopsis Dynamical Theory of Groups and Fields by : Bryce Seligman DeWitt
Download or read book Dynamical Theory of Groups and Fields written by Bryce Seligman DeWitt and published by . This book was released on 1965 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Field Theory by : Mark Srednicki
Download or read book Quantum Field Theory written by Mark Srednicki and published by Cambridge University Press. This book was released on 2007-01-25 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
