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Renormalization and Galois Theories
 
Edited by: Alain Connes College de France, Paris, France
Frédéric Fauvet University Louis Pasteur et CNRS, Strasbourg, France
Jean-Pierre Ramis Université Paul Sabatier, Toulouse, France
A publication of European Mathematical Society
Renormalization and Galois Theories
Softcover ISBN:  978-3-03719-073-9
Product Code:  EMSILMTP/15
List Price: $58.00
AMS Member Price: $46.40
Please note AMS points can not be used for this product
Renormalization and Galois Theories
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Renormalization and Galois Theories
Edited by: Alain Connes College de France, Paris, France
Frédéric Fauvet University Louis Pasteur et CNRS, Strasbourg, France
Jean-Pierre Ramis Université Paul Sabatier, Toulouse, France
A publication of European Mathematical Society
Softcover ISBN:  978-3-03719-073-9
Product Code:  EMSILMTP/15
List Price: $58.00
AMS Member Price: $46.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    EMS IRMA Lectures in Mathematics and Theoretical Physics
    Volume: 152009; 279 pp
    MSC: Primary 14; 34; 81; 11; 33;

    This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory.

    The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions.

    The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics.

    A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

    Readership

    Graduate students and research mathematicians interested in renormalization and Galois Theories.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 152009; 279 pp
MSC: Primary 14; 34; 81; 11; 33;

This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory.

The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions.

The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in renormalization and Galois Theories.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.