Strong coupling, Monte Carlo methods, conformal field theory, and random systems

所蔵情報QRコード

Strong coupling, Monte Carlo methods, conformal field theory, and random systems / Claude Itzykson, Jean-Michel Drouffe

資料種別:

図書

出版情報:

Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1989

形態:

xvi, 405-810 p. ; 24 cm

シリーズ名:

Cambridge monographs on mathematical physics ; . Statistical field theory / Claude Itzykson, Jean-Michel Drouffe ; v. 2 <BA00074521>

著者名:

ISBN:

9780521370127 [0521370124] (: hbk)

書誌ID:

BA0762763X

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographies and index

主題:

Field theory (Physics); Statistical physics

言語:

英語

目次情報:

Contents of Volume 1

Preface

Diagrammatic methods / 7：

General Techniques / 7.1：

Definitions and notations / 7.1.1：

Connected graphs and cumulants / 7.1.2：

Irreducibility and Legendre transformation / 7.1.3：

Series expansions / 7.2：

High temperature expansion / 7.2.1：

The role of symmetries / 7.2.2：

Low temperature expansion--discrete case / 7.2.3：

Low temperature expansion--continuous case / 7.2.4：

Strong field expansions / 7.2.5：

Fermionic fields / 7.2.6：

Enumeration of graphs / 7.3：

Configuration numbers with exclusion constraint / 7.3.1：

Multiply connected graphs / 7.3.2：

Results and analysis / 7.4：

Series analysis / 7.4.1：

An example: the Ising series on a body centered cubic lattice / 7.4.2：

Notes

Numerical simulations / 8：

Algorithms / 8.1：

Generalities / 8.1.1：

The classical algorithms / 8.1.2：

Microcanonical simulations / 8.1.3：

Practical considerations / 8.1.4：

Extraction of results in a simulation / 8.2：

Determination of transitions / 8.2.1：

Finite size effects / 8.2.2：

Monte Carlo renormalization group / 8.2.3：

Dynamics and the Langevin equation / 8.2.4：

Simulating fermions / 8.3：

The quenched approximation / 8.3.1：

Dynamical fermions / 8.3.2：

Hadron mass calculation in lattice gauge theory / 8.3.3：

Conformal invariance / 9：

Energy-momentum tensor--Virasoro algebra / 9.1：

Energy-momentum tensor / 9.1.1：

Two-dimensional conformal transformations / 9.1.3：

Central charge / 9.1.4：

Virasoro algebra / 9.1.5：

The Kac determinant / 9.1.6：

Unitary and minimal representations / 9.1.7：

Characters of the Virasoro algebra / 9.1.8：

Examples / 9.2：

Gaussian model / 9.2.1：

Ising model / 9.2.2：

Three state Potts model / 9.2.3：

Finite size effects and modular invariance / 9.3：

Partition functions on a torus / 9.3.1：

Kronecker's limit formula / 9.3.2：

The A-D-E classification of minimal models / 9.3.3：

Frustrations and discrete symmetries / 9.3.5：

Nonminimal models / 9.3.6：

Correlations in a half plane / 9.3.7：

The vicinity of the critical point / 9.3.8：

Jacobian [theta]-series and products / 9.A：

Superconformal algebra / 9.B：

Current algebra / 9.C：

Simple Lie algebras / 9.C.1：

The Wess-Zumino-Witten model / 9.C.2：

Representations and characters of KacMoody algebras / 9.C.3：

Disordered systems and fermionic methods / 10：

One-dimensional models / 10.1：

Gaussian random potential / 10.1.1：

Fokker-Planck equation / 10.1.2：

The replica trick / 10.1.3：

Random one-dimensional lattice / 10.1.4：

Two-dimensional electron gas in a strong field / 10.2：

Landau levels - Quantum Hall effect / 10.2.1：

One particle spectrum in the presence of impurities / 10.2.2：

Random matrices / 10.3：

Semicircle law / 10.3.1：

The fermionic method / 10.3.2：

Level spacings / 10.3.3：

The planar approximation / 10.4：

Combinatorics / 10.4.1：

The planar approximation in quantum mechanics / 10.4.2：

Spin systems with random interactions / 10.5：

Random external field and dimensional transmutation / 10.5.1：

The two-dimensional Ising model with random bonds / 10.5.2：

The Hall conductance as a topological invariant / 10.A：

Random geometry / 11：

Random lattices / 11.1：

Poissonian lattices and cell statistics / 11.1.1：

Field equations / 11.1.2：

The spectrum of the Laplacian / 11.1.3：

Random surfaces / 11.2：

Piecewise linear surfaces / 11.2.1：

The conformal anomaly and the Liouville action / 11.2.2：

Sums over smooth surfaces / 11.2.3：

Discretized models / 11.2.4：

Index

Disordered systems and Fermionic methods / 1：

Contents of Volume 1

Preface

Diagrammatic methods / 7：

General Techniques / 7.1：

Definitions and notations / 7.1.1：

Connected graphs and cumulants / 7.1.2：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 From Brownian motion to renormalization and lattice gauge theory (: hc) Itzykson, Claude, Drouffe, Jean-Michel Cambridge University Press	7 図書 Field theory handbook : including coordinate systems, differential equations and their solutions Moon, Parry Hiram, 1898-, Spencer, Domina Eberle, 1920- Springer-Verlag
2 図書 Field theories in condensed matter physics : a workshop Tesanovic, Zlatko Addison-Wesley Pub. Co., Advanced Book Program	8 図書 Classical and quantum field theory of exactly soluble nonlinear systems Garbaczewski, P. World Scientific
3 図書 The mathematical beauty of physics : a memorial volume for Claude Itzykson : Saclay, France, 5-7 June 1996 Itzykson, Claude, Drouffe, Jean-Michel, Zuber, Jean Bernard World Scientific	9 図書 Field theory Rzewuski, Jan Iliffe
4 図書 Quantum field theory Itzykson, Claude, Zuber, Jean Bernard McGraw-Hill International Book Co.	10 図書 Monte Carlo methods in statistical physics (Berlin.) Binder, Kurt, 1944- Springer-Verlag
5 図書 Quantum field theory (: pbk) Itzykson, Claude, Zuber, Jean Bernard McGraw-Hill International	11 図書 Monte Carlo methods in statistical physics (: us ; : gw) Binder, K. (Kurt), 1944- Springer-Verlag
6 図書 Field theory handbook : including coordinate systems, differential equations and their solutions (U.S ; Germany) Moon, Parry Hiram, 1898-, Spencer, Domina Eberle, 1920- Springer-Verlag	12 図書 Monte Carlo methods in statistical physics (: hbk ; : pbk) Newman, Mark, Barkema, G. T. Clarendon Press