18 research outputs found

    A multipurpose Hopf deformation of the Algebra of Feynman-like Diagrams

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    We construct a three parameter deformation of the Hopf algebra LDIAG\mathbf{LDIAG}. This new algebra is a true Hopf deformation which reduces to LDIAG\mathbf{LDIAG} on one hand and to MQSym\mathbf{MQSym} on the other, relating LDIAG\mathbf{LDIAG} to other Hopf algebras of interest in contemporary physics. Further, its product law reproduces that of the algebra of polyzeta functions.Comment: 5 page

    A Three Parameter Hopf Deformation of the Algebra of Feynman-like Diagrams

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    We construct a three-parameter deformation of the Hopf algebra \LDIAG. This is the algebra that appears in an expansion in terms of Feynman-like diagrams of the {\em product formula} in a simplified version of Quantum Field Theory. This new algebra is a true Hopf deformation which reduces to \LDIAG for some parameter values and to the algebra of Matrix Quasi-Symmetric Functions (\MQS) for others, and thus relates \LDIAG to other Hopf algebras of contemporary physics. Moreover, there is an onto linear mapping preserving products from our algebra to the algebra of Euler-Zagier sums

    Hopf Algebras in General and in Combinatorial Physics: a practical introduction

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    This tutorial is intended to give an accessible introduction to Hopf algebras. The mathematical context is that of representation theory, and we also illustrate the structures with examples taken from combinatorics and quantum physics, showing that in this latter case the axioms of Hopf algebra arise naturally. The text contains many exercises, some taken from physics, aimed at expanding and exemplifying the concepts introduced

    Graduate School: Course Decriptions, 1972-73

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    Official publication of Cornell University V.64 1972/7

    50 Years of quantum chromodynamics – Introduction and Review

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    Commonwealth of Independent States aerospace science and technology, 1992: A bibliography with indexes

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    This bibliography contains 1237 annotated references to reports and journal articles of Commonwealth of Independent States (CIS) intellectual origin entered into the NASA Scientific and Technical Information System during 1992. Representative subject areas include the following: aeronautics, astronautics, chemistry and materials, engineering, geosciences, life sciences, mathematical and computer sciences, physics, social sciences, and space sciences

    Bulletin of the University of New Hampshire. Graduate catalog 1989-1991.

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