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: Operators, Geometry and Quanta
    sub title: Methods of Spectral Geometry in Quantum Field Theory
  name:
    name part: Fursaev, Dmitri.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Vassilevich, Dmitri.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 288 p. online resource.
  abstract: This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included. This book addresses advanced graduate students and researchers in mathematical physics and in neighbouring areas with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.
  table of contents: 1 Preface -- 2 Notation Index I The Basics: 3 Geometrical Background -- 4 Quantum fields II Spectral geometry: 5 Operators and their spectra -- 6 Spectral functions -- 7 Non-linear spectral problems -- 8 Anomalies and Index Theorem III Applications: 9 Effective action -- 10 Anomalies in quantum field theories -- 11 Vacuum energy -- 12 Open strings and Born-Infeld action -- 13 Noncommutative geometry and field theory IV Problem solving: 14 Solutions to exercises.
  note: by Dmitri Fursaev, Dmitri Vassilevich.
  subject:
    topic: Physics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Quantum field theory
  subject:
    topic: String theory
  subject:
    topic: Physics
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Quantum Field Theories, String Theory
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Theoretical and Mathematical Physics
  identifier: 9789400702059
  identifier: http://dx.doi.org/10.1007/978-94-007-0205-9
  record info:
    record creation date: 110624
    record change date: 20151204142101.0
    record identifier: 978-94-007-0205-9