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Cardy J. — Scaling and renormalization in statistical physics
Cardy J. — Scaling and renormalization in statistical physics



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Название: Scaling and renormalization in statistical physics

Автор: Cardy J.

Аннотация:

This text provides a thoroughly modern graduate-level introduction to the theory of critical behavior. Beginning with a brief review of phase transitions in simple systems and of mean field theory, the text then goes on to introduce the core ideas of the renormalization group. Following chapters cover phase diagrams, fixed points, cross-over behavior, finite-size scaling, perturbative renormalization methods, low-dimensional systems, surface critical behavior, random systems, percolation, polymer statistics, critical dynamics and conformal symmetry. The book closes with an appendix on Gaussian integration, a selected bibliography, and a detailed index. Many problems are included. The emphasis throughout is on providing an elementary and intuitive approach. In particular, the perturbative method introduced leads, among applications, to a simple derivation of the epsilon expansion in which all the actual calculations (at least to lowest order) reduce to simple counting, avoiding the need for Feynman diagrams.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Квантовые методы/

Статус предметного указателя: Готов указатель без номеров страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 238

Добавлена в каталог: 22.08.2005

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Предметный указатель
Reduced variables      
Reduced variables free energy      
Redundant operators      
Reflection positivity      
Relevant variables      
Renormalization group      
Renormalization group beta functions      
Renormalization group central idea      
Renormalization group correlation functions      
Renormalization group correlation length      
Renormalization group critical dynamics      
Renormalization group cross-over behaviour      
Renormalization group discontinuity fixed points      
Renormalization group eigenvalues      
Renormalization group equation      
Renormalization group fixed points      
Renormalization group flows      
Renormalization group free energy      
Renormalization group generation of further couplings      
Renormalization group infinitesimal      
Renormalization group linearised      
Renormalization group near four dimensions      
Renormalization group perturbative equations      
Renormalization group real space      
Renormalization group redundant operators      
Renormalization group rescaling factor      
Renormalization group scaling dimensions      
Renormalization group scaling operators      
Renormalization group scaling variables      
Renormalization group surface critical behaviour      
Renormalization group symmetries      
Renormalization group terminology      
Renormalization group transformation      
Renormalization group Wilson — Fisher fixed point      
Replica method      
Replica symmetry breaking      
Response function      
Rotational symmetry      
Roughening transition      
Scale factors      
Scale invariance      
Scales, separation of      
Scaling behaviour      
Scaling dimensions      
Scaling dimensions at a boundary      
Scaling dimensions complex      
Scaling dimensions Kac formula      
Scaling functions      
Scaling operators      
Scaling operators at a boundary      
Scaling operators primary      
Scaling operators quasi-primary      
Scaling variables      
Scaling variables at a boundary      
Scaling variables magnetic      
Scaling variables nonlinear      
Scaling variables thermal      
Self-averaging      
Self-avoiding walks      
Self-avoiding walks connective constant      
Self-avoiding walks critical exponents      
Self-similarity      
Semi-infinite geometry      
Solid-on-solid model      
Specific heat      
Specific heat critical behaviour      
Specific heat logarithmic corrections in four dimensions      
Specific heat one-dimensional quantum systems      
Spin waves      
Spontaneous magnetisation      
Spontaneous magnetisation critical behaviour      
Stress tensor      
Stress tensor in Ising model      
Stress tensor operator product expansion      
Stress tensor trace      
Structural phase transitions      
Superconductivity      
Superfluidity      
Superfluidity in two dimensions      
Surface critical behaviour      
Surface critical behaviour $\epsilon$-expansion
Surface critical behaviour boundary magnetisation      
Surface critical behaviour boundary scaling dimension      
Surface critical behaviour boundary scaling operators      
Surface critical behaviour boundary scaling variables      
Surface critical behaviour extraordinary transition      
Surface critical behaviour Gaussian fixed point      
Surface critical behaviour mean field theory      
Surface critical behaviour of polymers      
Surface critical behaviour ordinary transition      
Surface critical behaviour renormalization group      
Surface critical behaviour special transition      
Surface critical behaviour surface exponents      
Surface critical behaviour surface transition      
susceptibility      
Susceptibility critical behaviour      
Susceptibility finite-size scaling      
Symmetry breaking      
Symmetry breaking cubic      
Symmetry breaking spontaneous      
Symmetry breaking uniaxial      
Transfer matrix      
Translational symmetry      
Tricritical behaviour      
Tricritical point      
Tricritical point effect of a magnetic field      
Tricritical point renormalization group flows      
Trotter formula      
Universality      
Universality amplitude ratios      
Universality critical dynamics      
Universality critical exponents      
Upper critical dimension      
Upper critical dimension branched polymers      
Upper critical dimension directed percolation      
Upper critical dimension dynamic Heisenberg model      
Upper critical dimension Ising model      
Upper critical dimension linear polymers      
Upper critical dimension logarithmic corrections      
Upper critical dimension percolation      
Upper critical dimension polymer theta point      
Upper critical dimension Potts model      
Upper critical dimension random field Ising model      
Virasoro algebra      
Vortices      
Wick's theorem      
Widom scaling      
Wilson — Fisher fixed point      
XY model      
XY model in two dimensions      
XY model in two dimensions critical behaviour      
XY model in two dimensions duality      
XY model in two dimensions Kosterlitz — Thouless criterion      
XY model in two dimensions renormalization group      
XY model in two dimensions renormalization group equations      
XY model in two dimensions role of vortices      
XY model in two dimensions stiffness coefficient      
Yang — Lee problem      
Zamolodchikov's c-theorem      
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