Q1900938
type: Item
instance of: scholarly article
title: Field theory, topology and condensed matter physics. Proceedings of the ninth Chris Engelbrecht summer school in theoretical physics held at Storms River Mouth, Tsitsikamma National Park, South Africa, 17-28 January 1994
zbMATH Open document ID: 0853.00008
published in: Lecture Notes in Physics
publication date: 1995-10-25T00:00:00Z
review text: This is a series of introductory courses devoted to problems of condensed matter physics for which some nonperturbative methods of the quantum field theory may be applicable. These methods are based on some fundamental concepts having symmetry and topological character. Main subjects touched in the lectures are enumerated below. 1) Renormalization group, scale and conformal invariance in two-dimensional statistical mechanics. 2) Several problems in the statistical mechanics of two-dimensional random surfaces and membranes. 3) Statistical mechanics of one-dimensional objects and polymers and their critical properties. 4) Problems connected with self-avoiding surfaces. 5) Matrix models and strings in low dimensions, their connection with Yang-Mills theory. Construction of a continuum field describing the dynamics of observable loop variables. 6) Topological quantum fluids (essentially quantum Hall fluids). Effective field theory approach to the Hall fluids. Duality, topological order in quantum Hall system. Magnetic monopoles and multi-layered Hall systems. The topological quantity related to orbital spin. Topological orders and edge excitations in fractional quantum Hall liquids. Hydrodynamic approach to the edge excitations and its connection with the effective theory of fractional quantum Hall states. 7) Topological mechanism of superconductivity. Topological instability in strongly correlated electronic systems. Connection of the topological fluid model with canonical Hubbard model.
reviewed by: Yu. P. Virchenko
Mathematics Subject Classification ID: 00A79
Mathematics Subject Classification ID: 82-06
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 82B41
Mathematics Subject Classification ID: 82B10
Mathematics Subject Classification ID: 82B20
Mathematics Subject Classification ID: 82C22
zbMATH DE Number: 809536
zbMATH Keywords: Proceedings
zbMATH Keywords: Summer school
zbMATH Keywords: Theoretical physics
zbMATH Keywords: Field theory
zbMATH Keywords: Topology
zbMATH Keywords: Condensed matter physics
zbMATH Keywords: quantum fluids
zbMATH Keywords: strings
zbMATH Keywords: renormalization group
zbMATH Keywords: matrix models
zbMATH Keywords: topological quantum fluids
zbMATH Keywords: magnetic monopoles
zbMATH Keywords: introductory courses
zbMATH Keywords: condensed matter physics
zbMATH Keywords: nonperturbative methods
zbMATH Keywords: quantum field theory
zbMATH Keywords: conformal invariance
zbMATH Keywords: statistical mechanics
zbMATH Keywords: two-dimensional random surfaces
zbMATH Keywords: membranes
zbMATH Keywords: one-dimensional objects
zbMATH Keywords: polymers
zbMATH Keywords: self-avoiding surfaces
zbMATH Keywords: strings in low dimensions
zbMATH Keywords: Yang-Mills theory
zbMATH Keywords: quantum Hall fluids
zbMATH Keywords: topological order in quantum Hall system
zbMATH Keywords: multi-layered Hall systems
zbMATH Keywords: fractional quantum Hall states
zbMATH Keywords: superconductivity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bfb0113366
OpenAlex ID: W1644820379
DOI: 10.1007/BFB0113366
label: Field theory, topology and condensed matter physics. Proceedings of the ninth Chris Engelbrecht summer school in theoretical physics held at Storms River Mouth, Tsitsikamma National Park, South Africa, 17-28 January 1994
description: scientific article; zbMATH DE number 809536