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020 _a9783540492221
_9978-3-540-49222-1
024 7 _a10.1007/3-540-59190-7
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
245 1 0 _aConstructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics
_h[electronic resource] :
_bProceedings of the Conference Held at Ecole Polytechnique, Palaiseau, France 25–27 July 1994 /
_cedited by Vincent Rivasseau.
246 3 _aProceedings of the Conference Held at Ecole Polytechnique, Palaiseau, France, 25-27 July 1994
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1995.
300 _aX, 342 p. 5 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v446
505 0 _aSome questions for constructive field theorists -- Trees, forests and jungles: A botanical garden for cluster expansions -- Weak perturbations of the massless Gaussian measure -- On renormalization group flows and polymer algebras -- Renormalizing partial differential equations -- Supersymmetric quantum field theory -- Equivalence of the Euclidean and Wightman field theories -- Construction of the gross-neveu model in dimension 3 -- Mass generation in a one-dimensional fermi model -- Mass generation in the large N Gross-Neveu model -- U(1) gauge theory on a torus -- A low temperature expansion and “spin wave picture” for classical N-vector models -- Renormalization group approach to zero temperature bose condensation -- Random and interacting surfaces -- Fermi liquids in two-space dimensions -- The self-avoiding walk in four dimensions -- Charge correlations for the two-dimensional Coulomb gas -- Weakly self-avoiding polymers in four dimensions.
520 _aAddressing graduate students and researchers in physics and mathematics, this book fills a gap in the literature. It is an introduction into modern constructive physics, field theory and statistical mechanics and a survey on the most recent research in this field. It presents the main technical tools such as cluster expansion and their implementation in the rigorous renormalization group, and studies physical models in some detail. The reader will find a study of the ultraviolet limit of the Gross-Neveu model, of continuous symmetry breaking and of self-avoiding random walks in statistical mechanics, as well as applications to solid-state physics. Mathematicians will find constructive methods useful for studies in partial differential equations.
650 0 _aQuantum theory.
650 0 _aThermodynamics.
650 0 _aGlobal differential geometry.
650 0 _aGeometry, algebraic.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
650 2 4 _aThermodynamics.
_0http://scigraph.springernature.com/things/product-market-codes/P21050
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
650 2 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
700 1 _aRivasseau, Vincent.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662140611
776 0 8 _iPrinted edition:
_z9783662140604
776 0 8 _iPrinted edition:
_z9783540591900
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v446
856 4 0 _uhttps://doi.org/10.1007/3-540-59190-7
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c11547
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