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Quantum Field Theory I: Basics in Mathematics and Physics

A Bridge between Mathematicians and Physicists

Medium: Buch
ISBN: 978-3-540-34762-0
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 14.08.2006
Lieferfrist: bis zu 10 Tage

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows 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 goes beyond the usual curriculum in physics. This book presents the state of the art of scientific realization of Einstein's dream of a constructing a grand unified theory for the four fundamental forces in the universe (gravitational, electromagnetic, strong, and weak interaction).


Produkteigenschaften


  • Artikelnummer: 9783540347620
  • Medium: Buch
  • ISBN: 978-3-540-34762-0
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 14.08.2006
  • Sprache(n): Englisch
  • Auflage: 2006
  • Produktform: Gebunden
  • Gewicht: 1753 g
  • Seiten: 1051
  • Format (B x H x T): 160 x 241 x 63 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.