Champs, Cordes, Et Phénomènes Critiques
S.. Ferrara, Université de Grenoble. Ecole d'Été de Physique Theorique, V.. Pasquier, Vladimir Kazakov, NATO Advanced Study Institute, André Neveu, Ian Affleck, Alexandre Markovitch Poliakov, Bertrand Duplantier, Daniel Harry Friedan, Giorgio Parisi, Hubert Saleur, Jean-Bernard Zuber, John L.. Cardy, Martin Lüscher, Paul Ginsparg, Robbert H.. Dijkgraaf
North-Holland, 1990 - Critical phenomena (Physics) - 640 pages
Hardbound. This session of the Summer School in Theoretical Physics concentrated on the recent advances in areas of physics ranging from (super)strings to field theory and statistical mechanics. The articles contained in this volume provide a stimulating and up-to-date account of a rapidly growing subject.Discussion focussed on the many points of convergence between field theory and statistical mechanics: conformal field theory, field theory on a lattice, the study of strongly correlated electron systems, as in the Hubbard model, leading to topological Lagrangians, which are perhaps the key of the understanding of high Tc superconductivity or the fractional quantum Hall effect. The critical phenomena in (1+1) dimensions, in the domain in which quantum fluctuations are strong, are described for antiferromagnetic couplings by relativistic theories in which the methods of abelian or non-abelian bosonization are particularly powerful.
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Applied conformal field theory by P Ginsparg
Identification of m 3 with the critical Ising model
Free fermions on a torus
50 other sections not shown
action affine algebra allowed appear becomes bosonic boundary conditions calculate central charge characters chiral compute conformal field theory consider constant construction continuum correlation functions corresponding coupling critical currents defined depend derive described determined dimensional dimensions discussed effective eigenvalues energy equal equation equivalent example exist expansion expect exponents expression fact factor fermions finite fixed formula gauge given gives higher identity implies integral interaction introduce Ising model known lattice lectures Lett limit mass matrix means modular invariant normalization Note Nucl obtain operator orbifold particle particular partition function path Phys physical plane possible primary properties quantum relation renormalization representation requires respectively result satisfy scaling sector space spin statistical string surface symmetry tensor tion torus transformation Virasoro algebra zero