000 03445nam a22005175i 4500
001 978-0-8176-4620-2
003 DE-He213
005 20181204132643.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780817646202
_9978-0-8176-4620-2
024 7 _a10.1007/978-0-8176-4620-2
_2doi
040 _aISI Library, Kolkata
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a519
_223
100 1 _aPalmer, John.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPlanar Ising Correlations
_h[electronic resource] /
_cby John Palmer.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2007.
300 _aXII, 372 p. 30 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v49
505 0 _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.
520 _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.
650 0 _aMathematics.
650 0 _aMathematical physics.
650 0 _aStatistical physics.
650 1 4 _aApplications of Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M13003
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817670580
776 0 8 _iPrinted edition:
_z9780817642488
830 0 _aProgress in Mathematical Physics,
_x1544-9998 ;
_v49
856 4 0 _uhttps://doi.org/10.1007/978-0-8176-4620-2
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c425468
_d425468