02906nam a22004335i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137082001200172100002700184245007200211264004600283300004400329336002600373337002600399338003600425347002400461490004300485505022200528520122000750650001701970650003901987650002602026650002502052650001702077650003302094650002502127650003702152650004902189710003402238773002002272776003602292830004302328856010102371978-0-8176-4620-2DE-He21320260521092029.0cr nn 008mamaa100301s2007    xxu|    s    |||| 0|eng d  a9780817646202  a997808176462027 a10.1007/978-0-8176-4620-22doi04a5192231 aPalmer, John.eauthor.10aPlanar Ising Correlationsh[electronic resource] /cby John Palmer. 1aBoston, MA :bBirkhäuser Boston,c2007.  aXII, 372 p. 30 illus.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aProgress in Mathematical Physics ;v490 aThe Thermodynamic Limit -- The Spontaneous Magnetization and Two-Point Spin Correlation -- Scaling Limits -- The One-Point Green Function -- Scaling Functions as Tau Functions -- Deformation Analysis of Tau Functions.  aThis book examines in detail the correlations for the two-dimensional Ising model in the infinite volume or thermodynamic limit and the sub- and super-critical continuum scaling limits. Steady progress in recent years has been made in understanding the special mathematical features of certain exactly solvable models in statistical mechanics and quantum field theory, including the scaling limits of the 2-D Ising (lattice) model, and more generally, a class of 2-D quantum fields known as holonomic fields. New results have made it possible to obtain a detailed nonperturbative analysis of the multi-spin correlations. In particular, the book focuses on deformation analysis of the scaling functions of the Ising model. This self-contained work also includes discussions on Pfaffians, elliptic uniformization, the Grassmann calculus for spin representations, Weiner--Hopf factorization, determinant bundles, and monodromy preserving deformations. This work explores the Ising model as a microcosm of the confluence of interesting ideas in mathematics and physics, and will appeal to graduate students, mathematicians, and physicists interested in the mathematics of statistical mechanics and quantum field theory. 0aMATHEMATICS. 0aDISTRIBUTION (PROBABILITY THEORY). 0aMATHEMATICAL PHYSICS. 0aSTATISTICAL PHYSICS.14aMATHEMATICS.24aAPPLICATIONS OF MATHEMATICS.24aSTATISTICAL PHYSICS.24aMATHEMATICAL METHODS IN PHYSICS.24aPROBABILITY THEORY AND STOCHASTIC PROCESSES.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817642488 0aProgress in Mathematical Physics ;v4940uhttp://dx.doi.org/10.1007/978-0-8176-4620-2zVer el texto completo en las instalaciones del CICY