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: Tensorial Methods and Renormalization in Group Field Theories
  name:
    name part: Carrozza, Sylvain.
    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: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 226 p. 51 illus. online resource.
  abstract: The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quantum gravity related, on the one hand, to Loop Quantum Gravity (LQG) and, on the other, to matrix- and tensor models. Background material on these topics, including conceptual and technical aspects, are introduced in the first chapters. The work then goes on to explain how the standard tools of Quantum Field Theory can be generalized to GFTs, and exploited to study the large cut-off behaviour and renormalization group transformations of the latter. Among the new results derived in this context are a proof of renormalizability of a three-dimensional GFT with gauge group SU(2), which opens the way to applications of the formalism to quantum gravity.
  table of contents: Motivations and Scope of the Present Work -- Two Paths to Group Field Theories -- Colors and Tensor Invariance -- Large N Expansion in Topological Group Field Theories -- Renormalization of Tensorial Group Field Theories: Generalities -- Super-Renormalizable U(1) Models in Four Dimensions -- Just-Renormalizable SU(2) Model in Three Dimensions.
  note: by Sylvain Carrozza.
  subject:
    topic: Physics
  subject:
    topic: Group theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Gravitation
  subject:
    topic: Cosmology
  subject:
    topic: Elementary particles (Physics)
  subject:
    topic: Quantum field theory
  subject:
    topic: Physics
  subject:
    topic: Elementary Particles, Quantum Field Theory
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Cosmology
  subject:
    topic: Mathematical Physics
  classification: QC793-793.5
  classification: QC174.45-174.52
  classification: 539.72
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Theses, Recognizing Outstanding Ph.D. Research
  identifier: 9783319058672
  identifier: http://dx.doi.org/10.1007/978-3-319-05867-2
  record info:
    record creation date: 140412
    record change date: 20151204160337.0
    record identifier: 978-3-319-05867-2