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001 978-3-540-69921-7
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020 _a9783540699217
_9978-3-540-69921-7
024 7 _a10.1007/978-3-540-69921-7
_2doi
050 4 _aQC793-793.5
050 4 _aQC174.45-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI051000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a539.72
_223
100 1 _aBurnel, André.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNoncovariant Gauges in Canonical Formalism
_h[electronic resource] /
_cby André Burnel.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2009.
300 _aXV, 236 p. 21 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics,
_x0075-8450 ;
_v761
505 0 _aCanonical Quantization for Constrained Systems -- Quantization of the Free Electromagnetic Field in General Class III Linear Gauges -- Quantization of the Free Electromagnetic Field in Class II Axial Gauges -- Gauge Fields in Interaction -- Perturbation Theory: Renormalization and All That -- Slavnov-Taylor Identities for Yang-Mills Theory -- Field Theory Without Infinities -- Gauges with a Singular C Matrix -- Conclusion.
520 _aBy definition, gauge theories - among the cornerstones of fundamental theoretical physics - involve more degrees of freedom than required by the underlying physics. The unphysical degrees of freedom must be shown not to yield unwarranted effects at every step in the formalism where explicit Lorentz covariance is required. The present work presents, in a rigorous way, a consistent formulation for the handling of noncovariant gauges in the quantization and renormalization of gauge theories. Though the path integral method is very convenient for the proof of unitarity and renormalizability of gauge theories, the canonical formalism is eventually necessary to expose the issues in a self-consistent way. These notes are written as an introduction to postgraduate students, lecturers and researchers in the field and assume prior knowledge of quantum field theory.
650 0 _aQuantum theory.
650 0 _aMathematical physics.
650 1 4 _aElementary Particles, Quantum Field Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P23029
650 2 4 _aMathematical Methods in Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19013
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642089404
776 0 8 _iPrinted edition:
_z9783540866176
776 0 8 _iPrinted edition:
_z9783540699200
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v761
856 4 0 _uhttps://doi.org/10.1007/978-3-540-69921-7
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c10765
_d10765