Quantum Mechanics of Fundamental Systems 3 [electronic resource] /
1 Fractional Statistics in Quantum Mechanics -- 1. Introduction -- 2. Charge-Flux Composites -- 3. Dilute Anyon Gases -- 4. Fractional Statistics in the Quantized Hall Effect -- 5. Many-Body Theory of the Anyon Gas -- 6. Chern-Simons Field Theory and Fractional Statistics -- Appendix: Many Anyons in a Magnetic Field -- References -- 2 Microscopic and Macroscopic Loops in Nonperturbative Two-Dimensional Gravity -- References -- 3 Supersymmetry and Gauge Invariance in Stochastic Quantization -- 1. Introduction -- 2. Langevin Equations for Theories with a Yang-Mills Symmetry -- 3. The Partition function -- 4. The Case of Diffeomorphism Invariance -- 5. The Case of First-Order Systems -- References -- 4 Covariant Superstrings -- 1. Introduction -- 2. The Minimal Covariant Action -- 3. Covariant Superstrings from the Light-Cone Gauge -- References -- 5 Constraints on the Baryogenesis Scale from Neutrino Masses -- 1. Introduction -- 2. Heavy Neutrino Decays -- 3. Conclusions -- References -- 6 The Antifield-BRST Formalism for Gauge Theories -- 1. Introduction -- 2. Structure of the Gauge Symmetries -- 3. Gauge Invariance and BRST Invariance—Basic Requirements -- 4. Relativistic Description of Gauge-invariant Functions -- 5. The Koszul-Tate Resolution -- 6. The Exterior Derivative along the Gauge Orbits -- 7. BRST Symmetry—Master Equation -- 8. Path Integral -- 9. Examples -- Appendix: Abelianization of the Gauge Transformations -- References -- 7 Combinatorics of Mapping Class Groups and Matrix Integration -- 1. Introduction -- 2. Matrix Integration Revisited -- 3. Harmonic Oscillator and Fermions -- 4. The Virtual Euler Characteristic of the Mapping Class Group -- 5. Direct Method -- 6. Concluding Remarks -- References -- 8 Field-theoretical Description of High-Tc Superconductors: Topological Excitations, Generalized Statistics, and Doping -- 1. Introduction -- 2. The Continuum Model for High-Tc Superconductors -- 3. Quantization of Topological Excitations in the Continuum Models for the New Superconductors -- 4. Generalized Statistics and Superconductivity -- 5. Introduction of Dopants: A Possible Mechanism of Superconductivity -- References -- 9 Random Dynamics, Three Generations, and Skewness -- 1. Random Dynamics -- 2. Field Theory Glass -- 3. Skewness the Golden Principle -- References -- 10 Gauge Anomalies in Two Dimensions -- 1. Introduction -- 2. The Chiral Schwinger Model: The Effective Action -- 3. Solutions of the CSM -- 4. Non-Abelian Chiral Gauge Theory -- References -- 11 Some Topics in Topological Quantum Field Theories -- 1. Introduction -- 2. TQFTs and Stochastic Processes -- 3. Two-Dimensional Models -- 4. Topological Invariants -- References.
Main Authors: | , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Boston, MA : Springer US : Imprint: Springer,
1992
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Subjects: | Physics., Nuclear physics., Heavy ions., Hadrons., Atoms., Atomic, Molecular, Optical and Plasma Physics., Nuclear Physics, Heavy Ions, Hadrons., Theoretical, Mathematical and Computational Physics., |
Online Access: | http://dx.doi.org/10.1007/978-1-4615-3374-0 |
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Summary: | 1 Fractional Statistics in Quantum Mechanics -- 1. Introduction -- 2. Charge-Flux Composites -- 3. Dilute Anyon Gases -- 4. Fractional Statistics in the Quantized Hall Effect -- 5. Many-Body Theory of the Anyon Gas -- 6. Chern-Simons Field Theory and Fractional Statistics -- Appendix: Many Anyons in a Magnetic Field -- References -- 2 Microscopic and Macroscopic Loops in Nonperturbative Two-Dimensional Gravity -- References -- 3 Supersymmetry and Gauge Invariance in Stochastic Quantization -- 1. Introduction -- 2. Langevin Equations for Theories with a Yang-Mills Symmetry -- 3. The Partition function -- 4. The Case of Diffeomorphism Invariance -- 5. The Case of First-Order Systems -- References -- 4 Covariant Superstrings -- 1. Introduction -- 2. The Minimal Covariant Action -- 3. Covariant Superstrings from the Light-Cone Gauge -- References -- 5 Constraints on the Baryogenesis Scale from Neutrino Masses -- 1. Introduction -- 2. Heavy Neutrino Decays -- 3. Conclusions -- References -- 6 The Antifield-BRST Formalism for Gauge Theories -- 1. Introduction -- 2. Structure of the Gauge Symmetries -- 3. Gauge Invariance and BRST Invariance—Basic Requirements -- 4. Relativistic Description of Gauge-invariant Functions -- 5. The Koszul-Tate Resolution -- 6. The Exterior Derivative along the Gauge Orbits -- 7. BRST Symmetry—Master Equation -- 8. Path Integral -- 9. Examples -- Appendix: Abelianization of the Gauge Transformations -- References -- 7 Combinatorics of Mapping Class Groups and Matrix Integration -- 1. Introduction -- 2. Matrix Integration Revisited -- 3. Harmonic Oscillator and Fermions -- 4. The Virtual Euler Characteristic of the Mapping Class Group -- 5. Direct Method -- 6. Concluding Remarks -- References -- 8 Field-theoretical Description of High-Tc Superconductors: Topological Excitations, Generalized Statistics, and Doping -- 1. Introduction -- 2. The Continuum Model for High-Tc Superconductors -- 3. Quantization of Topological Excitations in the Continuum Models for the New Superconductors -- 4. Generalized Statistics and Superconductivity -- 5. Introduction of Dopants: A Possible Mechanism of Superconductivity -- References -- 9 Random Dynamics, Three Generations, and Skewness -- 1. Random Dynamics -- 2. Field Theory Glass -- 3. Skewness the Golden Principle -- References -- 10 Gauge Anomalies in Two Dimensions -- 1. Introduction -- 2. The Chiral Schwinger Model: The Effective Action -- 3. Solutions of the CSM -- 4. Non-Abelian Chiral Gauge Theory -- References -- 11 Some Topics in Topological Quantum Field Theories -- 1. Introduction -- 2. TQFTs and Stochastic Processes -- 3. Two-Dimensional Models -- 4. Topological Invariants -- References. |
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