Quantum field theory and quantum statistics : essays in honour of the 60th birthday of E.S. Fradkin
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書誌事項
Quantum field theory and quantum statistics : essays in honour of the 60th birthday of E.S. Fradkin
Hilger, 1987
- : set
- v. 1
- v. 2
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: set ISBN 9780852745250
内容説明
These two volumes contain 64 essays on quantum field theory and quantum statistical physics specially commissioned in honour of the sixtieth birthday of Efim Fradkin. Over the years Professor Fradkin has continuously figured among the leaders of this very dynamic science, and the star-studded list of authors of this collection reflects the respect in which he is held. More than 90 theoretical physicists from 16 countries have united their efforts to emphasise his many important contributions and create a portrait of the present-day theory. As wide-ranging as have been Fradkin's studies, this book forms an encyclopaedia of modern high-energy theoretical physics. It contains essays which trace the peculiar, even grotesque, paths followed by theoretical physics over the past forty years and it also contains essays which put forward completely new ideas such as field theory of Galois fields. It contains comprehensive reviews and it also contains illuminating research papers. These are essays expounding general methods of field theory such as quantisation of dynamical systems, the effective action approach, the method of conformal field theory and there are also essays containing current work on quantum gravity, supersymmmetry and superstrings. In addition some essays deal with applications of field theory methods to other areas of physics such as polymer blends and amorphous systems in solid state physics. These volumes will be of great interest to researchers, postgraduate students and all those interested in the modern status of quantum field thoery and statistical physics, as well as the paths of their newest development.
目次
VOLUME 1: The contributions of E S Fradkin to quantum field theory and statistics. Quantisation of dynamical systems: The Fradkin operator method. On equivalence transformations generated by pure first-class constraints. The structure of gauge theories in Lagrangian and Hamiltonian formalisms. BRS quantisation of generalised magnetic poles. Proposed geometrisations for unitarity-imposing superalgebras of the field/ghost systems. Effective action and radiative corrections: The effective action. On the quantisation problem. The effective action in quantum field theory - two-loop approximation. The mass shift of a uniformly accelerated electron. Conformal field theory: Calculation of critical indices in N-component ^D*f-model by the methods of conformal field theory. Non-singular conformal invariant formulation of massless quantum electrodynamics. Conformal transformations of quantum fields in gauge theories. Many-body theory and statistics: On the Moscow-zero problem. Quantum field theory methods in polymer blends. Some applications of field theory to amorphous systems. How our acquaintance with Efim Samoilovich Fradkin began and three (r)tudes in honour of his sixtieth birthday. Exactly solvable cases of sixteen-vertex two-dimensional lattice models. Interacting electrons in a strong magnetic field. The spectral density method for quantum and classical systems. Summation of infrared singularities of electron propagator at finite temperature. Quark-gluon plasma through perturbative and non-perturbative calculations. New approaches: Non-local quantum field theory and particle physics. Breaking of gauge symmetry by external sources and integration over all potentials. Stochastic quantisation - theme and variation. Quantisation, instantons and supersymmetry. Quaternionic Gaussian multiple integrals. Field theory of Galois fields. Space-time and matter in 'prephysics". Quantum geometry, maximal acceleration and the world of pure spinors. Measurement theory and the Schr^D"odinger equation. E S Fradkin's publications. Index VOLUME 2: Historical and biographical papers: The importance of (sometimes) being conservative. About Efim Samoilovich Fradkin and the equations for higher-spin particles. Vector gauge theory and problems of unification: Renormalisation programme and dynamical symmetry breaking. Infrared physics via the Fradkin propagator representation. Non-renormalisation of phases, softly broken Peccei-Quinn symmetry and the strong CP problem. Quantum Gravity: The conformal rotation in linearised gravity. Renormalisation group methods in curved space-time. Properties of energy in higher derivative gravity theories. On unitarity in renormalisable R2** quantum gravity. Who's afraid of (higher derivative) ghosts? Generally covariant lattices, the random calculus and the strong coupling approach to the renormalisation of gravity. Pushing out the boundaries of gravity theory. Supersymmetry and supergravity: Field theories for higher spins. E8 x S0(16) symmetry of d=11 supergravity? On SU(3) x SU(2) x U(1) invariant compactifying solutions to eleven-dimensional supergravity. Conformal invariance in harmonic superspace. KGBPhler-Weyl invariance and N=1 supergravity. Scalar potentials in extended supergravities. Some properties of generalised (xZ2)n-graded Lie superalgebras and generalised de Sitter supersymmetry. Anti-de Sitter supergravities. Quantum anomalies: Some identities in quantum electrodynamics. On the determinant of the Weyl operator. Chern-Simons terms and cocyles in physics and mathematics. The chiral anomaly in conformal and ordinary simple supergravity in Fujikawa's approach. The regularisation of supersymmetric theories and anomalies in the supercurrent. Compensating fields and anomalies. (Super)string theory: Dual-resonance models. Phase interaction between extended objects. The formalism of Fradkin and Vilkovisky and the relativistic string. Superstrings and harmonic superspace. Field theory effective action approach to quantum (super)strings. Is there only one finite superstring? Developments in superstring field theory. E S Fradkin's Publications. Index.
- 巻冊次
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v. 2 ISBN 9780852745748
内容説明
These two volumes contain 64 essays on quantum field theory and quantum statistical physics specially commissioned in honour of the sixtieth birthday of Efim Fradkin. Over the years Professor Fradkin has continuously figured among the leaders of this very dynamic science, and the star-studded list of authors of this collection reflects the respect in which he is held. More than 90 theoretical physicists from 16 countries have united their efforts to emphasise his many important contributions and create a portrait of the present-day theory. As wide-ranging as have been Fradkin's studies, this book forms an encyclopaedia of modern high-energy theoretical physics. It contains essays which trace the peculiar, even grotesque, paths followed by theoretical physics over the past forty years and it also contains essays which put forward completely new ideas such as field theory of Galois fields. It contains comprehensive reviews and it also contains illuminating research papers. These are essays expounding general methods of field theory such as quantisation of dynamical systems, the effective action approach, the method of conformal field theory and there are also essays containing current work on quantum gravity, supersymmmetry and superstrings. In addition some essays deal with applications of field theory methods to other areas of physics such as polymer blends and amorphous systems in solid state physics. These volumes will be of great interest to researchers, postgraduate students and all those interested in the modern status of quantum field thoery and statistical physics, as well as the paths of their newest development.
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