000 | 04034nam a22005655i 4500 | ||
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_a9783540315223 _9978-3-540-31522-3 |
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024 | 7 |
_a10.1007/b104936 _2doi |
|
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072 | 7 |
_aPHU _2bicssc |
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_a530.15 _223 |
245 | 1 | 0 |
_aGeometric and Topological Methods for Quantum Field Theory _h[electronic resource] / _cedited by Hernán Ocampo, Sylvie Paycha, Andrés Vargas. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
|
300 |
_aXV, 230 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Physics, _x0075-8450 ; _v668 |
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505 | 0 | _aKnot Invariants and Configuration Space Integrals (Christine Lescop) -- Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar) -- Introduction to String Compactification (Anamaria Font, Stefan Theisen) -- Index Theorems and Noncommutative Topology (Thierry Fack). | |
520 | _aThis volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a universal finite-type invariant for knots is constructed as a series of integrals over configuration spaces. This is followed by the contribution of Raimar Wulkenhaar on Euclidean quantum field theory from a statistical point of view. The author also discusses possible renormalization techniques on noncommutative spaces. The third lecture is by Anamaria Font and Stefan Theisen on string compactification with unbroken supersymmetry. The authors show that this requirement leads to internal spaces of special holonomy and describe Calabi-Yau manifolds in detail. The last lecture, by Thierry Fack, is devoted to a K-theory proof of the Atiyah-Singer index theorem and discusses some applications of K-theory to noncommutative geometry. These lectures notes, which are aimed in particular at graduate students in physics and mathematics, start with introductory material before presenting more advanced results. Each chapter is self-contained and can be read independently. | ||
650 | 0 | _aMathematical physics. | |
650 | 0 | _aQuantum theory. | |
650 | 0 |
_aCell aggregation _xMathematics. |
|
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013 |
650 | 2 | 4 |
_aQuantum Field Theories, String Theory. _0http://scigraph.springernature.com/things/product-market-codes/P19048 |
650 | 2 | 4 |
_aElementary Particles, Quantum Field Theory. _0http://scigraph.springernature.com/things/product-market-codes/P23029 |
650 | 2 | 4 |
_aManifolds and Cell Complexes (incl. Diff.Topology). _0http://scigraph.springernature.com/things/product-market-codes/M28027 |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
700 | 1 |
_aOcampo, Hernán. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aPaycha, Sylvie. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
700 | 1 |
_aVargas, Andrés. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642063510 |
776 | 0 | 8 |
_iPrinted edition: _z9783540806677 |
776 | 0 | 8 |
_iPrinted edition: _z9783540242833 |
830 | 0 |
_aLecture Notes in Physics, _x0075-8450 ; _v668 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b104936 |
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