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: Quantum Field Theory I: Basics in Mathematics and Physics
    sub title: A Bridge between Mathematicians and Physicists
  name:
    name part: Zeidler, Eberhard.
    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: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIV, 1052 p. 94 illus. online resource.
  abstract: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which is beyond the usual curriculum in physics. It is the author's goal to present the state of the art of realizing Einstein's dream of a unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction). From the reviews: "… Quantum field theory is one of the great intellectual edifices in the history of human thought. … This volume differs from other books on quantum field theory in its greater emphasis on the interaction of physics with mathematics. … an impressive work of scholarship." (William G. Faris, SIAM Review, Vol. 50 (2), 2008) "… it is a fun book for practicing quantum field theorists to browse, and it may be similarly enjoyed by mathematical colleagues. Its ultimate value may lie in encouraging students to enter this challenging interdisciplinary area of mathematics and physics. Summing Up: Recommended. Upper-division undergraduates through faculty." (M. C. Ogilvie, CHOICE, Vol. 44 (9), May, 2007).
  table of contents: Prologue -- Historical Introduction -- Phenomenology of the Standard Model for Elementary Particles -- The Challenge of Different Scales in Nature -- Basic Techniques in Mathematics -- Analyticity -- A Glance at Topology -- Many-Particle Systems in Mathematics and Physics -- Rigorous Finite-Dimensional Magic Formulas of Quantum Field Theory -- Rigorous Finite-Dimensional Perturbation Theory -- Fermions and the Calculus for Grassmann Variables -- Infinite-Dimensional Hilbert Spaces -- Distributions and Green’s Functions -- Distributions and Physics -- Heuristic Magic Formulas of Quantum Field Theory -- Basic Strategies in Quantum Field Theory -- The Response Approach -- The Operator Approach -- Peculiarities of Gauge Theories -- A Panorama of the Literature.
  note: by Eberhard Zeidler.
  subject:
    topic: Physics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functional analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Elementary particles (Physics)
  subject:
    topic: Quantum field theory
  subject:
    topic: Physics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Analysis
  subject:
    topic: Elementary Particles, Quantum Field Theory
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Functional Analysis
  subject:
    topic: Partial Differential Equations
  classification: QC19.2-20.85
  classification: 530.1
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540347644
  identifier: http://dx.doi.org/10.1007/978-3-540-34764-4
  record info:
    record creation date: 100301
    record change date: 20151204175514.0
    record identifier: 978-3-540-34764-4