rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Analytic Tools for Feynman Integrals
  name:
    name part: Smirnov, Vladimir A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 298 p. online resource.
  abstract: The goal of this book is to describe the most powerful methods for evaluating multiloop Feynman integrals that are currently used in practice. This book supersedes the author’s previous Springer book “Evaluating Feynman Integrals” and its textbook version “Feynman Integral Calculus.” Since the publication of these two books, powerful new methods have arisen and conventional methods have been improved on in essential ways. A further qualitative change is the fact that most of the methods and the corresponding algorithms have now been implemented in computer codes which are often public. In comparison to the two previous books, three new chapters have been added: One is on sector decomposition, while the second describes a new method by Lee. The third new chapter concerns the asymptotic expansions of Feynman integrals in momenta and masses, which were described in detail in another Springer book, “Applied Asymptotic Expansions in Momenta and Masses,” by the author. This chapter describes, on the basis of papers that appeared after the publication of said book, how to algorithmically discover the regions relevant to a given limit within the strategy of expansion by regions. In addition, the chapters on the method of Mellin-Barnes representation and on the method of integration by parts have been substantially rewritten, with an emphasis on the corresponding algorithms and computer codes.
  table of contents: Introduction -- Feynman Integrals: Basic Definitions and Tools.-Evaluating by Alpha and Feynman Parameters -- Sector Decompositions -- Evaluating by Mellin-Barnes Representation -- Integration by Parts and Reduction to Master Integrals -- Evaluation by Differential Equations -- Evaluating Master Integrals by Dimensional Recurrence and Analyticity -- Asymptotic Expansions in Momenta and Masses -- Tables -- Some Special Functions- Summation Formulae -- Table of MB Integrals.- A Brief Review of Some Other Methods.
  note: by Vladimir A. Smirnov.
  subject:
    topic: Physics
  subject:
    topic: Algebra
  subject:
    topic: Field theory (Physics)
  subject:
    topic: Quantum physics
  subject:
    topic: Nuclear physics
  subject:
    topic: Physics
  subject:
    topic: Particle and Nuclear Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Field Theory and Polynomials
  subject:
    topic: Numerical and Computational Physics
  classification: QC770-798
  classification: 539.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Tracts in Modern Physics, 250
  identifier: 9783642348860
  identifier: http://dx.doi.org/10.1007/978-3-642-34886-0
  record info:
    record creation date: 130125
    record change date: 20151204144644.0
    record identifier: 978-3-642-34886-0