CONFORMAL INVARIANCE AND CRITICAL PHENOMENA.pdf

CONFORMAL INVARIANCE AND CRITICAL PHENOMENA

Malte Henkel

This book provides an introduction to conformal field theory and also a review of its applications to critical phenomena in condensed-matter systems. After reviewing simple phase transitions and explaining the foundations of conformal invariance and the algebraic methods required, it proceeds to the explicit calculation of four-point correlators. Numerical methods for matrix diagonalization are described as well as finite-size scaling techniques and their conformal extensions. Many exercises are included. Applications treat the Ising, Potts, chiral Potts, Yang-Lee, percolation and XY models, the XXZ chain, polymers, tricritical points, conformal turbulence, surface criticality and profiles, defect lines and aperiodically modulated systems, persistent currents and dynamical scaling. The vicinity of the critical point is studied, culminating in the exact solution of the two-dimensional Ising model at the critical temperature in a magnetic field. Relevant experimental results are also reviewed.

The universal properties of critical geometrical systems in two dimensions (2D) like the O(n) and Potts models, are described in the framework of Coulomb gas methods and conformal invariance. The conformal spectrum of geometrical critical systems obtained is made of a discrete infinite series of scaling dimensions. Specific applications involve the fractal properties of self-avoiding walks Conformal invariance in two-dimensional turbulence ...

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9783540653219 ISBN
CONFORMAL INVARIANCE AND CRITICAL PHENOMENA.pdf

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Sofya Voigtuh

Conformal Invariance and Critical Phenomena: Malte Henkel: 9783540653219: Books - Amazon.ca. Skip to main content. Try Prime EN Hello, Sign in Account & Lists Sign in Account & Lists Orders Try Prime Cart. Books . Go Search Your Store Deals Store Gift Cards Sell Help. Books CiteSeerX — Conformal invariance

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Mattio Müllers

Conformal Invariance And Critical Phenomena. Author : Malte Henkel ISBN : 9783662039373 Genre : Science File Size : 48.16 MB Format : PDF Download : 106 Read : 1078 . Download eBook. Critical phenomena arise in a wide variety of physical systems. Classi cal examples are the liquid-vapour critical point or the paramagnetic ferromagnetic transition. Further examples include multicomponent fluids [PDF] Conformal Invariance And Critical Phenomena …

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Noels Schulzen

Conformal invariance and critical phenomena - relié ...

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Jason Leghmann

Jan 1, 1984 ... Submitted to None. INVARIANCE: CONFORMAL; STATISTICAL MECHANICS: CRITICAL PHENOMENA; STATISTICAL MECHANICS: TWO- ... Nov 26, 1984 ... Conformal invariance constrains the form of correlation functions ... C. Domb, M.S. Green (Eds.), Phase transitions and critical phenomena, vol.

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Jessica Kolhmann

Conformal invariance is believed to hold at the critical point cf isotropic ... theory of surface critical phenomena (Binder 1983), the correlation function at the. Remember the simplest topological invariant of a 0D Hamiltonian, the number of filled ... to see how they perfectly fit to the theory of topological phenomena!