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: Computer Algebra in Quantum Field Theory
    sub title: Integration, Summation and Special Functions
  name:
    name part: Schneider, Carsten.
    role:
      role term: editor.
  name:
    name part: Blümlein, Johannes.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: au
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 411 p. 41 illus. online resource.
  abstract: The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
  table of contents: Harmonic sums, polylogarithms, special numbers, and their generalizations -- Multiple Zeta values and modular forms in quantum field theory -- Computer-assisted proofs of some identities for Bessel functions of fractional order -- Conformal methods for massless Feynman integrals and large Nf methods -- The holonomic toolkit -- Orthogonal polynomials -- Creative telescoping for holonomic functions -- Renormalization and Mellin transforms -- Relativistic Coulomb integrals and Zeilberger's holonomic systems approach -- Hypergeometric functions in Mathematica -- Solving linear recurrence equations with polynomial coefficients -- Generalization of Risch's algorithms to special functions -- Multiple hypergeometric series -- Appell series and beyond -- Simplifying multiple sums in difference fields -- Potential of FORM 4.0 -- Feynman graphs.
  note: edited by Carsten Schneider, Johannes Blümlein.
  subject:
    topic: Physics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Special functions
  subject:
    topic: Mathematical physics
  subject:
    topic: Quantum field theory
  subject:
    topic: String theory
  subject:
    topic: Elementary particles (Physics)
  subject:
    topic: Physics
  subject:
    topic: Elementary Particles, Quantum Field Theory
  subject:
    topic: Mathematical Physics
  subject:
    topic: Quantum Field Theories, String Theory
  subject:
    topic: Special Functions
  subject:
    topic: Symbolic and Algebraic Manipulation
  classification: QC793-793.5
  classification: QC174.45-174.52
  classification: 539.72
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria
  identifier: 9783709116166
  identifier: http://dx.doi.org/10.1007/978-3-7091-1616-6
  record info:
    record creation date: 131005
    record change date: 20151030041141.0
    record identifier: 978-3-7091-1616-6