東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Geometrodynamics of gauge fields = o...

Mielke, Eckehard W.

FindBook

Google Book

Amazon

博客來

Geometrodynamics of gauge fields = on the geometry of Yang-Mills and gravitational gauge theories /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometrodynamics of gauge fields/ by Eckehard W. Mielke.
其他題名:	on the geometry of Yang-Mills and gravitational gauge theories /
作者:	Mielke, Eckehard W.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvii, 373 p. :ill., digital ;24 cm.
內容註:	Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang's theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups.
Contained By:	Springer eBooks
標題:	Gauge fields (Physics) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-29734-7
ISBN:	9783319297347

Geometrodynamics of gauge fields = on the geometry of Yang-Mills and gravitational gauge theories /
Mielke, Eckehard W.

Geometrodynamics of gauge fieldson the geometry of Yang-Mills and gravitational gauge theories /[electronic resource] :by Eckehard W. Mielke. - 2nd ed. - Cham :Springer International Publishing :2017. - xvii, 373 p. :ill., digital ;24 cm. - Mathematical physics studies,0921-3767. - Mathematical physics studies..

Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang's theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups.

This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincare gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein's standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.

ISBN: 9783319297347

Standard No.: 10.1007/978-3-319-29734-7doiSubjects--Topical Terms:

524714
Gauge fields (Physics)

LC Class. No.: QC793.3.F5

Dewey Class. No.: 530.1435

Geometrodynamics of gauge fields = on the geometry of Yang-Mills and gravitational gauge theories /
LDR:03093nmm a2200349 a 4500 001 2090502
003 DE-He213
005 20170830145027.0
006 m d
007 cr nn 008maaau
008 171013s2017 gw s 0 eng d
020 $a 9783319297347 $q (electronic bk.)
020 $a 9783319297323 $q (paper)
024 7 $a 10.1007/978-3-319-29734-7 $2 doi
035 $a 978-3-319-29734-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QC793.3.F5
072 7 $a PHDV $2 bicssc
072 7 $a PHR $2 bicssc
072 7 $a SCI033000 $2 bisacsh
082 0 4 $a 530.1435 $2 23
090 $a QC793.3.F5 $b M631 2017
100 1 $a Mielke, Eckehard W. $3 3222098
245 1 0 $a Geometrodynamics of gauge fields $h [electronic resource] : $b on the geometry of Yang-Mills and gravitational gauge theories / $c by Eckehard W. Mielke.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xvii, 373 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical physics studies, $x 0921-3767
505 0 $a Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang's theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups.
520 $a This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincare gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein's standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.
650 0 $a Gauge fields (Physics) $3 524714
650 0 $a Geometrodynamics. $3 535391
650 1 4 $a Physics. $3 516296
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 1067066
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Elementary Particles, Quantum Field Theory. $3 894026
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Mathematical physics studies. $3 2072974
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-29734-7
950 $a Physics and Astronomy (Springer-11651)