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Quantum Mechanics of Fundamental Systems

Bibliographic Details
Other Authors: Teitelboim, Claudio (Editor), Zanelli, Jorge (Editor)
Format: eBook
Language:English
Published: New York, NY Springer US 1992, 1992
Edition:1st ed. 1992
Series:Series of the Centro De Estudios Científicos
Subjects:
Atoms
Atomic, Molecular And Chemical Physics
Nuclear Physics
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Molecules
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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, GeneralizedStatistics, 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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