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BL
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890699
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| Main Entry
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ICTP Summer Course(1992 :, Trieste, Italy)
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| Title & Author
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Low-dimensional quantum field theories for condensed matter physicists : : lecture notes of ICTP Summer Course, Trieste, Italy, September 1992 /\ editors, S. Lundquist, G. Morandi, Yu Lu.
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| Publication Statement
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Singapore ;River Edge, N.J. :: World Scientific,, ©1995.
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| Series Statement
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Series on modern condensed matter physics ;; v. 6
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| Page. NO
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1 online resource (ix, 611 pages) :: illustrations.
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| ISBN
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9789814447027
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: 9814447021
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9789810221409
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9810221401
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| Notes
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At head of title: International Centre for Theoretical Physics.
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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PREFACE; Contents; SOME GEOMETRY AND TOPOLOGY; 1. INTRODUCTION.; SECT. 2. HOMOTOPY AND TOPOLOGICAL INVARIANTS.; SECT. 3. THE DUALITY BETWEEN M AND 3(M).; SECT. 4. DIFFERENTIAL CALCULUS ON LIE GROUPS AND COSET SPACES.; SECT. 5. FIBER SPACES AND PARALLEL TRANSPORT.; SECT. 6. DIFFERENTIAL CALCULUS ON FIBER BUNDLES.; SECT. 7. SEQUENCES ON PRINCIPAL BUNDLES. CHERN-SIMONS TERMS.; SECT. 8. CONCLUSIONS.; ACKNOWLEDGEMENTS; APPENDIX.; GLOSSARIES. I. TOPOLOGICAL TERMS.; GAUGE SYMMETRIES, TOPOLOGY AND QUANTISATION; 1 INTRODUCTION; 2 MEANING OF GAUGE INVARIANCE; 2.1. The Action; 2.1.1. Determinism.
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2. The Basic Physical Picture of the CSLG Theory3. Derivation of the CSLG Action; 4. The Mean Field Solution and the Phenomenology of FQHE; 5. The Cyclotron Mode and Kohn's Theorem; 6. Derivation of Laughlin's Wave Function and Algebraic ODLRO; 7. Vortex Excitations and Duality Transformations; 8. Magneto-roton Excitations; 9. Conclusions; References; Universality in the Fractional Quantum Hall; I. INTRODUCTION; II. CHERN-SIMONS FIELD THEORY FOR THE FQHE; III. ELECTROMAGNETIC RESPONSE FUNCTIONS FOR THE FQHE; a) The Spectrum of Collective Excitations:; b) Experimental consequences.
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2.1.2. Conservation Laws2.2. The Lagrangian; 2.3. The Hamiltonian; 3. THE DIRAC-BERGMANN THEORY OF CON STRAINTS; 3.1. Introduction; 3.2. Constraint Analysis; 3.3. Quantization Procedure; 4. GAUGE CONSTRAINTS IN FIELD THEORIES; 4.1. Gauss Law Generates Asymptotically Trivial GaugeTransformations; 4.2. Internal Symmetries in Gauge Theories; 4-3- Nonabelian Examples; 5. THE QUANTUM HALL EFFECT AND THE EDGESTATES OF CHERN-SIMONS THEORY; 5.1. Introduction; 5.2. Chern-Simons Field Theory and the Quantum Hall System; 5.3. Conformal Edge Currents; 5.3.1. The Canonical Formalism; 5.3.2. Quantization.
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5.4. The Chern-Simons Source as a Conformal Family6. QUANTIZATION AND MULTIPLY CONNECTE DCONFIGURATION SPACES; 6.1. Configuration Space and Quantum Theory; 6.2. The Universal Covering Space and the Fundamental Group; 6.3. Examples of Multiply Connected Configuration Spaces; 6.4. Quantization on Multiply Connected Configuration Spaces; 6.5- Nonabelian Fundamental Groups; 6.6, The Case of the Asymmetric Rotor; 7. TOPOLOGICAL SPIN-STATISTICS THEOREMS; Acknowledgements; References; THE CHERN-SIMONS-LANDAU-GINZBURG THEORYOF THE FRACTIONAL QUANTUM HALL EFFECT*; 1. Introduction.
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C) Saturation of the /-sum rule:d) Hall Conductance:; V. EXTRACTING THE WAVE FUNCTIONAL FROM THEPATH INTEGRAL FORMULATION OF FIELD THEORY.; VI. UNIVERSAL PROPERTIES OF THEGROUND STATE WAVE FUNCTION.; VII. CONCLUSIONS; ACKNOWLEDGEMENTS; REFERENCES; Anyons and Anyon Superconductivity; 1. Introduction to Anyons; 2. Random-Phase Approximation for Anyons; 3. Beyond the RPA-the Electron Gas as a Model; 4. Self-consistent Hartree Approximation for Anyons; 5. Self-consistent Hartree-Fock Approximation for Anyons; 6. Acknowlegments; 7. References.
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| Abstract
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This volume contains a set of pedagogical reviews covering the most recent applications of low-dimensional quantum field theory in condensed matter physics, written by experts who have made major contributions to this rapidly developing field of research. The main purpose is to introduce active young researchers to new ideas and new techniques which are not covered by the standard textbooks.
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Condensed matter, Congresses.
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Low-dimensional topology, Congresses.
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Particles (Nuclear physics), Congresses.
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Quantum field theory, Congresses.
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Campos E Ondas (Fisica Teorica)
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Condensed matter.
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Festkörper
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Festkörperphysik
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Kongress
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Low-dimensional topology.
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Particles (Nuclear physics)
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Quantenfeldtheorie
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Quantum field theory.
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SCIENCE-- Physics-- Condensed Matter.
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| Dewey Classification
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530.4/1
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| LC Classification
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QC174.45.A1I25 1992eb
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| Added Entry
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Lundqvist, Stig,1925-
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Morandi, Giuseppe.
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Yu, Lu,1937-
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| Added Entry
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International Centre for Theoretical Physics.
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