Quantum Field Theory

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This book discusses the main concepts of the Standard Model of elementary particles in a compact and straightforward way. The work illustrates the unity of modern theoretical physics by combining approaches and concepts of the quantum field theory and modern condensed matter theory. The inductive approach allows a deep understanding of ideas and methods used for solving problems in this field.

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Title Statements

Full title :Quantum Field Theory

Summary

Edition Statements

Publication Date:2013.

Publication Statements

Publisher(s):De Gruyter
Place of Publication:Berlin
Language:eng
Publication Date:2013.

Notes

10 Functional integrals: scalars and spinors.

The Physical Object

Description:1 online resource (424 pages)

Edition Identifiers

ISBN:9783110270358, 3110270358, 9783110270297, 3110270293, 9781299723535, 1299723535
oclc:on1086951114
LC Classification:QC174.45
Dewey Decimal:530.14/3

Preface; 1 Basics of elementary particles; 1.1 Fundamental particles; 1.1.1 Fermions; 1.1.2 Vector bosons; 1.2 Fundamental interactions; 1.3 The Standard Model and perspectives; 2 Lagrange formalism. Symmetries and gauge fields; 2.1 Lagrange mechanics of a particle; 2.2 Real scalar field. Lagrange equations; 2.3 The Noether theorem; 2.4 Complex scalar and electromagnetic fields; 2.5 Yang-Mills fields; 2.6 The geometry of gauge fields; 2.7 A realistic example -- chromodynamics; 3 Canonical quantization, symmetries in quantum field theory; 3.1 Photons.

3.1.1 Quantization of the electromagnetic field3.1.2 Remarks on gauge invariance and Bose statistics; 3.1.3 Vacuum fluctuations and Casimir effect; 3.2 Bosons; 3.2.1 Scalar particles; 3.2.2 Truly neutral particles; 3.2.3 CPT-transformations; 3.2.4 Vector bosons; 3.3 Fermions; 3.3.1 Three-dimensional spinors; 3.3.2 Spinors of the Lorentz group; 3.3.3 The Dirac equation; 3.3.4 The algebra of Dirac's matrices; 3.3.5 Plane waves; 3.3.6 Spin and statistics; 3.3.7 C, P, T transformations for fermions; 3.3.8 Bilinear forms; 3.3.9 The neutrino.

4 The Feynman theory of positron and elementary quantum electrodynamics4.1 Nonrelativistic theory…