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020 _a9783540391784
_9978-3-540-39178-4
024 7 _a10.1007/BFb0033712
_2doi
050 4 _aQC793-793.5
050 4 _aQC174.45-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI051000
_2bisacsh
072 7 _aPHQ
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082 0 4 _a539.72
_223
245 1 0 _aRenormalization of Quantum Field Theories with Non-linear Field Transformations
_h[electronic resource] :
_bProceedings of a Workshop, Held at Ringberg Castle Tegernsee, FRG, February 16–20, 1987 /
_cedited by Peter Breitenlohner, Dieter Maison, Klaus Sibold.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1988.
300 _aVI, 242 p. 11 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 ;
_v303
505 0 _aRenormalization theory, a short account of results and problems -- Some remarks for the construction of yang-mills field theories -- Non-linear field transformations simple examples and general remarks -- Superspace renormalization of N = 1, d = 4 supersymmetric gauge theories -- N= 2 Supersymmetric Yang-Mills Theories in the Wess-Zumino Gauge -- Radiative mass generation in scale invariant systems with spontaneous symmetry breakdown -- Discussion session on part I: Non-linear field transformations in 4 dimensions -- The non-linear sigma model -- B.R.S. renormalization of B(n+1) non linear ?-model -- Renormalization of bosonic non-linear ?-models built on compact homogeneous manifolds -- Nonlinear field renormalizations in the background field method -- Kahler geometry and supersymmetric non-linear ?-models: An introduction -- Methods in hyperkähler ? models building -- Sigma model ?-functions at all loop orders -- The d=2 conformally invariant SU(2) ?-model with wess-zumino term and related critical theories+) -- The two-dimensional 0(n) nonlinear ?-model from a wilson renormalization group viewpoint -- Nonlinear ?-models with boundary and open strings -- Discussion session on part II: Non-linear ?-models -- Remarks on slavnov symmetries -- Supersymmetric properties of field theories in 10-D -- Generalized wess-zumino terms.
520 _aThe characteristic feature of many models for field theories based on concepts of differential geometry is their nonlinearity. In this book a systematic exposition of nonlinear transformations in quantum field theory is given. The book starts with a short account of the renormalization theory with examples which can be handled successfully in four space-time dimensions. The second part is devoted to nonlinear sigma-models and their constructions in two dimensions. In the final section geometrical and cohomological methods and the relations to string theory are treated. This book is an important contribution towards rigorous definitions, and the mastering of nonlinear reparametrizations in agreement with the principles of quantum field theory will help to deal with anomalies, geometry and the like consistently and thus to understand better their implications for physics. The collection of papers addresses researchers and graduate students as well and will stimulate further work on the foundations of quantum field theory.
650 0 _aQuantum theory.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aElementary Particles, Quantum Field Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P23029
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
700 1 _aBreitenlohner, Peter.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMaison, Dieter.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSibold, Klaus.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662136676
776 0 8 _iPrinted edition:
_z9783662136669
776 0 8 _iPrinted edition:
_z9783540192633
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v303
856 4 0 _uhttps://doi.org/10.1007/BFb0033712
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
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