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Blau, Matthias.
Nationaal Inst. voor Kernfysica en Hoge-Energiefysica (NIKHEF), Amsterdam (Netherlands). Sectie H1992
Nationaal Inst. voor Kernfysica en Hoge-Energiefysica (NIKHEF), Amsterdam (Netherlands). Sectie H1992
AbstractAbstract
[en] These lecture notes give an introductory account of an approach to cohomological field theory due to Atiyah and Jeffrey which is based on the construction of Gaussian shaped Thom forms by Mathai and Quillen. Topics covered are: an explanation of regularized Euler numbers of infinite dimensional vector bundles; interpretation of supersymmetric quantum mechanics as the regularized Euler number of loop space; the Atiyah-Jeffrey interpretation of Donaldson theory; the construction of topological gauge theories from infinite dimensional vector bundles over space of connections. (author). 44 refs
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1992; 34 p; Karpacz Winter School on 'Infinite Dimensional Geometry in Physics'; Karpacz (Poland); 17-27 Feb 1992; Notes of lectures given at the Karpacz Winter School on 'Infinite Dimensional Geometry in Physics, 17-27 february 1992.
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Bloore, F.
Proceedings of the 2nd international colloquium on group theoretical methods in physics1973
Proceedings of the 2nd international colloquium on group theoretical methods in physics1973
AbstractAbstract
No abstract available
Original Title
Stationary action principle, calculus of variations
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Janner, A.; Janssen, T. (eds.); Katholieke Universiteit Nijmegen (Netherlands); p. B15-B30; Sep 1973; 2. international colloquium on group theoretical methods in physics; Nijmegen, Netherlands; 25 Jun 1973
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[en] An account is given of the authors' personal perception of the historical developments that accumulated into the present understanding of the renormalization group behavior of renormalizable quantum field theories. (orig.)
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Colloquium in memoriam Kurt Symanzik held at DESY; Hamburg (Germany, F.R.); 6-7 Feb 1984; CODEN: NUPBB.
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Nuclear Physics. B; ISSN 0550-3213;
; v. 254(1); p. 11-18

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No abstract available
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J. Phys. (Paris); v. 36(4); p. 281-291
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[en] The Lagrangian theory of a field with n components can be generalized for values of n which are not integers and in particular for n=0. This extension is made by introducing ordered Green's functions. It is shown how the zero components Lagrangian theory can be used to describe the behaviour of an isolated polymer or of a solution of polymers with large molecular masses. It is remarked that by analytic continuation with respect to the coupling constant, it should be possible to study the properties of electrons in a random potential and perhaps the nature of the mobility edges
[fr]
La theorie Lagrangienne des champs a n composantes peut etre generalisee au cas ou n n'est pas un entier positif et en particulier au cas n=0. Cette generalisation repose sur la notion de fonction de Green ordonnees que l'on commence par definir. On montre ensuite comment la theorie Lagrangienne a zero composante permet de decrire le comportement d'un polymere isole ou de solutions de polymeres, de masses moleculaires elevees. On remarque enfin, que moyennant un prolongement analytique sur la constante de couplage, la meme theorie devrait permettre d'etudier les proprietes d'electrons soumis a un potentiel aleatoire et peut-etre de determiner les caracteristiques des bords de mobiliteOriginal Title
Theories lagrangiennes a zero composante. Application a l'etude des polymeres en solution (chaines avec volume exclu) et des proprietes d'electrons soumis a un potentiel aleatoire
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Colloquium critical phenomena; Dijon, France; 30 Jun 1975
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J. Phys. (Paris), Colloq; (no.1); p. C1.255-C1.264
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[en] We supersymmetrize Zwanziger's local field theory of monopoles and charges. (orig.)
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Phys. Lett., B; ISSN 0370-2693;
; v. 115(1); p. 29-32

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[en] The abelian Higgs-Kibble model, that is the simplest Lagrangian model involving gauge fields in which no infrared problem occurs, is treated. The algebraic complications which occur in the non-abelian cases are deferred to later publications. The combinational knowledge of renormalized perturbation theory that has been acquired through the work of W. Zimmermann is used. This well developed machinery, which relies on the locality and properties of perturbation theory, is effectively put to work by an intensive use of the implicit function theorem for formal power series
[fr]
On traite le modele abelien de Higgs-Kibble, qui est le modele le plus simple mettant en jeu des champs de jauge dans lesquels aucun probleme infrarouge n'apparait. Les complications algebriques qui se produisent dans les cas non-abeliens sont renvoyees a des publications ulterieures. On utilise la technique combinatoire de la theorie des perturbations renormalisee acquise dans le travail de W. Zimmermann. Cette machinerie bien developpee qui repose sur la localite et les proprietes de la theorie des perturbations est effectivement mise en jeu par un usage intensif du theoreme des fonctions implicites pour la serie de puissance formellePrimary Subject
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Jul 1974; 53 p
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[en] We use superfield techniques to calculate the β-function for the Wess-Zumino model at the three-loop level. These techniques permit an easy evaluation of the three-loop diagrams and allow us to exhibit in analytic form all relevant quantities. The scheme dependence of the β-function is exhibited and three substraction schemes (minimal, modified minimal and momentum space) are discussed in detail. In particular we note that βsub(MS) = βsub(anti M anti S). (orig.)
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Nuclear Physics. B; ISSN 0550-3213;
; v. 169(5/6); p. 415-429

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[en] A new approach to gauge field models is described. It is based on the Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) renormalization scheme making extensive use of the quantum action principle, and the Slavnov invariance. The quantum action principle being first summarized in the framework of the BPHZ is then applied to a global symmetry problem. The symmetry property of the gauge field Lagrangians in the tree approximation is exhibited, and the preservation of this property at the quantum level is discussed. The main results relative to the Abelian and SU(2) Higgs-Kibble models are briefly reviewed
[fr]
On decrit une nouvelle approche des modeles de champs de jauge qui est basee sur le schema de renormalisation de Bogoliubov-Parasiuk-Hepp-Zimmermann (BPHZ) avec usage extensif du principe d'action quantique, et sur l'invariance de Slavnov. Le principe d'action quantique est d'abord expose brievement dans le cadre (BPHZ) puis applique a un probleme de symetrie global. On met en evidence la propriete de symetrie des lagrangiens des champs de jauge dans l'approximation des arbres, et on discute des possibilites de preservation de cette propriete au niveau quantique. On passe en revue rapidement les principaux resultats relatifs aux modeles abeliens et SU(2) de Higgs-KibblePrimary Subject
Source
Korthals-Altes, C.P.; de Rafael, E.; Stora, R.; Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique; p. 6-18; 1974; Colloquium on recent progress in Lagrangien field theory and applications; Marseille, France; 24 Jun 1974
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Sezgin, E.
International Centre for Theoretical Physics, Trieste (Italy)1991
International Centre for Theoretical Physics, Trieste (Italy)1991
AbstractAbstract
[en] We review the structure of W∞ algebras, their super and topological extensions, and their contractions down to (super) w∞. Emphasis is put on the field theoretic realizations of these algebras. We also review the structure of w∞ and W∞ gravities and comment on various applications of W∞ symmetry. (author). 42 refs
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Aug 1991; 24 p; CTP-TAMU--9/91; GRANT PHY-8907887
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