000 04184nam a22006495i 4500
001 978-3-319-46003-1
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005 20210118151958.0
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008 161124s2017 gw | s |||| 0|eng d
020 _a9783319460031
_9978-3-319-46003-1
024 7 _a10.1007/978-3-319-46003-1
_2doi
050 4 _aQC174.45-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHS
_2thema
082 0 4 _a530.14
_223
100 1 _aYdri, Badis.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aLectures on Matrix Field Theory
_h[electronic resource] /
_cby Badis Ydri.
250 _a1st ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXII, 352 p. 8 illus., 6 illus. in color.
_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 ;
_v929
505 0 _aPreface.- Introductory Remarks -- The Non-Commutative Moyal-Weyl Spaces Rd -- The Fuzzy Sphere -- Quantum Non-Commutative Phi-Four -- The Multitrace Approach.- Non-Commutative Gauge Theory -- Appendix A - The Landau States -- Appendix B - The Traces TrtAtB and TrtAtBtCtD -- Index.
520 _aThese lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries.  The book initially focuses on the matrix formulation of non-commutative and fuzzy spaces, followed by a description of the non-perturbative treatment of the corresponding field theories. As an example, the phase structure of non-commutative phi-four theory is treated in great detail, with a separate chapter on the multitrace approach. The last chapter offers a general introduction to non-commutative gauge theories, while two appendices round out the text. Primarily written as a self-study guide for postgraduate students – with the aim of pedagogically introducing them to key analytical and numerical tools, as well as useful physical models in applications – these lecture notes will also benefit experienced researchers by providing a reference guide to the fundamentals of non-commutative field theory with an emphasis on matrix models and fuzzy geometries.
650 0 _aQuantum field theory.
650 0 _aString theory.
650 0 _aMathematical physics.
650 0 _aComputer science—Mathematics.
650 0 _aAlgebraic geometry.
650 0 _aQuantum physics.
650 1 4 _aQuantum Field Theories, String Theory.
_0http://scigraph.springernature.com/things/product-market-codes/P19048
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
650 2 4 _aMath Applications in Computer Science.
_0http://scigraph.springernature.com/things/product-market-codes/I17044
650 2 4 _aAlgebraic Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M11019
650 2 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319460024
776 0 8 _iPrinted edition:
_z9783319460048
830 0 _aLecture Notes in Physics,
_x0075-8450 ;
_v929
856 4 0 _uhttps://doi.org/10.1007/978-3-319-46003-1
912 _aZDB-2-PHA
912 _aZDB-2-LNP
999 _c452898
_d452898
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/