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Renormalization in Quantum Field Theory (after R. Borcherds)
 
Estanislao Herscovich Institut Fourier, Université Grenoble, France
A publication of the Société Mathématique de France
Renormalization in Quantum Field Theory (after R. Borcherds)
Softcover ISBN:  978-2-85629-910-4
Product Code:  AST/412
List Price: $68.00
AMS Member Price: $54.40
Please note AMS points can not be used for this product
Renormalization in Quantum Field Theory (after R. Borcherds)
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Renormalization in Quantum Field Theory (after R. Borcherds)
Estanislao Herscovich Institut Fourier, Université Grenoble, France
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-910-4
Product Code:  AST/412
List Price: $68.00
AMS Member Price: $54.40
Please note AMS points can not be used for this product
  • Book Details
     
     
    Astérisque
    Volume: 4122019; 188 pp
    MSC: Primary 16; 46; 58; 81

    The aim of this book is to provide a complete and precise formulation of the renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by R. Borcherds in “Renormalization and Quantum Field Theory”, Algebra Number Theory 5 (2011), 627–658.

    The author gives a full proof of the free and transitive action of the group of renormalizations on the set of Feynman measures associated with a local precut propagator and proof that such a set is nonempty if the propagator is further assumed to be manageable and of cut type. Even though the author follows the general principles established earlier by Borcherds, the author has, in many cases, proceeded differently to prove his claims and has also added some hypotheses to help prove the corresponding statements.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians.

  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 4122019; 188 pp
MSC: Primary 16; 46; 58; 81

The aim of this book is to provide a complete and precise formulation of the renormalization picture for perturbative Quantum Field Theory (pQFT) on general curved spacetimes introduced by R. Borcherds in “Renormalization and Quantum Field Theory”, Algebra Number Theory 5 (2011), 627–658.

The author gives a full proof of the free and transitive action of the group of renormalizations on the set of Feynman measures associated with a local precut propagator and proof that such a set is nonempty if the propagator is further assumed to be manageable and of cut type. Even though the author follows the general principles established earlier by Borcherds, the author has, in many cases, proceeded differently to prove his claims and has also added some hypotheses to help prove the corresponding statements.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians.

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.