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Classical field theory and the stress-energy tensor

  1. Title statementClassical field theory and the stress-energy tensor / Mark S. Swanson. [elektronický zdroj]
    PublicationSan Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA): Morgan & Claypool Publishers, [2015]
    DistributionBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2015]
    Phys.des.1 online resource (various pagings) : illustrations (some color).
    ISBN9781681741215 (online)
    9781681742496 mobi
    Edition[IOP release 2]
    IOP concise physics, ISSN 2053-2571
    Note"Version: 20140901"--Title page verso.
    "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
    Internal Bibliographies/Indexes NoteIncludes bibliographical references.
    ContentsPreface -- Acknowledgements -- Author biography -- 1. Basic field theory -- Newtonian mechanics and Galilean relativity -- The action principle -- The stretched string as a field theory -- The wave equation -- Energy and momentum in field theories -- Point sources and Green's functions in field theory -- Further reading
    Content note2. Newtonian fluid dynamics -- Fluid flow from Newtonian physics -- Basic applications of the Navier-Stokes equation -- Viscosity -- The action formulation of perfect fluids -- Fluctuations around solutions and stability -- Further reading. 3. Special relativity, field theory and symmetry -- Special relativity -- Basic effects of special relativity -- Relativistic mechanics -- Relativistic tensor fields and quadratic actions -- Relativistic spinor fields and quadratic actions -- Symmetry in relativistic field theory -- Further reading. 4. Classical electrodynamics -- Maxwell's equations -- The gauge field and gauge conditions -- The gauge field action and minimal coupling -- vii -- The stress-energy tensor and electrodynamic force and energy -- Electromagnetic waves and spin -- Green's functions and electromagnetic radiation -- The gauge field as a differential form -- Further reading. 5. General relativity and gravitation -- The metric tensor and the principle of equivalence -- The affine connection and the covariant derivative -- The curvature tensor -- Variational techniques in general relativity -- Einstein's equation -- Vacuum solutions to Einstein's equation -- Basic cosmology -- Further reading. 6. Yang-Mills fields and connections -- Unitary symmetry and Yang-Mills fields -- The Yang-Mills stress-energy tensor and force equation -- Spontaneous breakdown of symmetry -- Aspects of classical solutions for Yang-Mills fields -- Yang-Mills fields, gravitation, forms and connections -- Yang-Mills fields and confinement -- Further reading -- Appendix. Mathematics for field theory.
    Notes to AvailabilityPřístup pouze pro oprávněné uživatele
    AudienceTheoretical physics graduate students & instructors.
    NoteZpůsob přístupu: World Wide Web.. Požadavky na systém: Adobe Acrobat Reader.
    Another responsib. Morgan & Claypool Publishers,
    Institute of Physics (Great Britain),
    Subj. Headings Field theory (Physics) * Classical mechanics. * SCIENCE / Physics / General.
    Form, Genre elektronické knihy electronic books
    CountryKalifornie
    Languageangličtina
    Document kindElectronic books
    URLPlný text pro studenty a zaměstnance UPOL
    book

    book


    This book is a concise introduction to the key concepts of classical field theory for beginning graduate students and advanced undergraduate students who wish to study the unifying structures and physical insights provided by classical field theory without dealing with the additional complication of quantization. In that regard, there are many important aspects of field theory that can be understood without quantizing the fields. These include the action formulation, Galilean and relativistic invariance, traveling and standing waves, spin angular momentum, gauge invariance, subsidiary conditions, fluctuations, spinor and vector fields, conservation laws and symmetries, and the Higgs mechanism, all of which are often treated briefly in a course on quantum field theory.

    Preface -- Acknowledgements -- Author biography -- 1. Basic field theory -- Newtonian mechanics and Galilean relativity -- The action principle -- The stretched string as a field theory -- The wave equation -- Energy and momentum in field theories -- Point sources and Green's functions in field theory -- Further reading2. Newtonian fluid dynamics -- Fluid flow from Newtonian physics -- Basic applications of the Navier-Stokes equation -- Viscosity -- The action formulation of perfect fluids -- Fluctuations around solutions and stability -- Further reading3. Special relativity, field theory and symmetry -- Special relativity -- Basic effects of special relativity -- Relativistic mechanics -- Relativistic tensor fields and quadratic actions -- Relativistic spinor fields and quadratic actions -- Symmetry in relativistic field theory -- Further reading4. Classical electrodynamics -- Maxwell's equations -- The gauge field and gauge conditions -- The gauge field action and minimal coupling -- vii -- The stress-energy tensor and electrodynamic force and energy -- Electromagnetic waves and spin -- Green's functions and electromagnetic radiation -- The gauge field as a differential form -- Further reading5. General relativity and gravitation -- The metric tensor and the principle of equivalence -- The affine connection and the covariant derivative -- The curvature tensor -- Variational techniques in general relativity -- Einstein's equation -- Vacuum solutions to Einstein's equation -- Basic cosmology -- Further reading6. Yang-Mills fields and connections -- Unitary symmetry and Yang-Mills fields -- The Yang-Mills stress-energy tensor and force equation -- Spontaneous breakdown of symmetry -- Aspects of classical solutions for Yang-Mills fields -- Yang-Mills fields, gravitation, forms and connections -- Yang-Mills fields and confinement -- Further reading -- Appendix. Mathematics for field theory.

Number of the records: 20  

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