Titlebook: Quantum Field Theory; A Selection of Paper Arthur Jaffe,Harry Lehmann,Gerhard Mack Book 1985 Springer-Verlag Berlin, Heidelberg 1985 Confin

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The Intersection of Brownian Paths as a Case Study of a Renormalization Group Method for Quantum Fi. = 4, as well as further corrections, are derived here by means of a single renormalization group equation. The equation’s derivation is expected to shed some light on the β-function of the λ.. quantum field theory.

Mortal

Intersection Properties of Simple Random Walks: A Renormalization Group Approach,s to zero logarithmically as the killing rate (mass) . tends to zero, and that the fixed point, .*, in . = 4 − ε is bounded by const′ ε ≦g* ≦ const ε. Our methods also yield estimates on the intersection probability of three random walks in . = 3, 3 − ε. For ε = 0, these results were first obtained by Lawler [1].

agnostic

Convergent Perturbation Expansions for Euclidean Quantum Field Theory,ple of 3-dimensional λ..-theory (in continuous space). They are not essentially more complicated than standard perturbation theory. The n. order term is expressed in terms of O(n)-dimensional integrals, and is of order λ. if 4.-3≦.≦4..

Incommensurate

RADE

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Book 1985ped to shape the present form of quantum field theory and its application to elementary particle physics. In memoriam of Kurt" Symanzik leading scientists present their most recent results, giving, at the same time, an overview of the state of the art. This collection was originally published in Vol

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Renormalization of the Higgs Model: Minimizers, Propagators and the Stability of Mean Field Theory, for the analysis of the continuum limit. We also establish stability bounds on .. uniformly in .. This is an essential step toward proving the existence of a gap in the mass spectrum and exponential decay of gauge invariant correlations.

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Kurt Symanzik,t the age of 23, when he entered the Technical University of Munich. He shortly moved to Göttingen and became a student of Heisenberg. There Symanzik encountered two young colleagues, H. Lehmann and W. Zimmermann, with whom he developed both close friendship and scientific collaboration. This group

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On-shell Improved Lattice Gauge Theories,pectral quantities (masses of stable particles, heavy quark potential etc.) are to be improved. In perturbation theory, the other 2 coefficients are however completely determined and their values are obtained to lowest order.