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Memorial Volume For Yi-shi Duan [Kietas viršelis]

Edited by (Chinese Academy Of Sciences, China), Edited by (Lanzhou Univ, China), Edited by (Nankai Univ, China)
  • Formatas: Hardback, 384 pages
  • Išleidimo metai: 28-Feb-2018
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9813237260
  • ISBN-13: 9789813237261
Kitos knygos pagal šią temą:
Memorial Volume For Yi-shi DuanDidesnis paveikslėlis
  • Formatas: Hardback, 384 pages
  • Išleidimo metai: 28-Feb-2018
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9813237260
  • ISBN-13: 9789813237261
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9789813237261.html
Raktažodžiai:
Yi-Shi Duan (1927–2016) was one of the world-renowned pioneers in the study of gauge field theory and general relativity. Trained in the former Soviet Union, Prof. Duan returned to China in 1957 to work in Lanzhou University for 60 years. In 1963, he came up with a general co-variant form of the conservation law of the energy-momentum tensor in general relativity. In 1979, he suggested that the gauge potential could be decomposed, which has important implications to gauge field theory. He trained in China a big team of talents in theoretical physics. His contributions to theoretical physics in China have earned him praise from both Professor Shiing-Shen Chern and Professor Chen-Ning Yang.
Preface v
Photos of Yi-Shi Duan vii
1 SU(2) Gauge Theory and Electrodynamics with N Magnetic Monopoles
1(16)
Yi-Shi Duan
Mo-Lin Ge
1.1 Introduction
1(1)
1.2 Decomposition of gauge potential and its inner structure
2(2)
1.3 Electrodynamics of magnetic monopoles and electrical particles system in the SU(2) gauge theory
4(4)
1.4 Features of the solution of monopoles' electrodynamical system and topological conservative current
8(3)
1.5 Sourceless solution of SU(2) gauge field and magnetic monopole
11(1)
1.6 U(1) gauge potential of electromagnetic tensor Kμv
12(5)
Bibliography
15(2)
2 Abelian Decomposition of QCD
17(42)
Y. M. Cho
2.1 Introduction
18(2)
2.2 Abelian decomposition: a review
20(2)
2.3 Abelian decomposition of SU(3) QCD
22(3)
2.4 Abelian dominance and monopole condensation in QCD
25(6)
2.5 Quark and chromon model and quarkonium-glueball mixing
31(3)
2.6 Monoball: vacuum fluctuation of monopole condensation
34(2)
2.7 Vacuum decomposition
36(4)
2.8 Einstein's theory: gauge theory of Lorentz group
40(2)
2.9 Abelian decomposition of Einstein's theory: restricted gravity
42(2)
2.10 Canonical momentum versus kinematic momentum
44(2)
2.11 Proton spin crisis problem: present status and a new resolution
46(6)
2.12 Closing remarks
52(7)
Bibliography
55(4)
3 How Can We Understand Quark Confinement in Quantum Yang-Mills Theory?
59(18)
Kei-Ichi Kondo
3.1 Introduction
59(2)
3.2 Decomposition of the Yang-Mills field and extension to SU(N) gauge group
61(2)
3.3 Non-Abelian Stokes theorem for the Wilson loop operator and gauge-invariant magnetic monopole
63(1)
3.4 Lattice formulations and numerical simulations
63(8)
3.5 Summary
71(6)
Bibliography
73(4)
4 Asymmetrical Input-output Control in Cavity Quantum Electrodynamics
77(12)
Yifu Zhu
4.1 Introduction
77(1)
4.2 Theoretical model and analysis
78(4)
4.3 Numerical results
82(3)
4.4 Conclusion
85(4)
Bibliography
87(2)
5 Energy and Angular Momentum in Gravity Theories
89(80)
Rong-Gen Cai
Li-Ming Cao
5.1 Introduction
90(3)
5.2 Noether currents and conserved quantities
93(22)
5.2.1 Noether currents
94(2)
5.2.2 Theories without background fields
96(3)
5.2.3 Energy-momentum tensor of matter fields
99(1)
5.2.4 Noether currents and energy of matter fields
100(2)
5.2.5 Canonical energy-momentum tensors of matter fields
102(4)
5.2.6 Pseudo tensor and energy-momentum tensor for gravitational field
106(3)
5.2.7 Vielbein, semimetric, four-legs, and tetrad
109(2)
5.2.8 Gravitational energy-momentum can not be locally defined
111(1)
5.2.9 Komar mass and angular momentum
112(3)
5.3 Global definitions
115(16)
5.3.1 General definition on conserved quantities
115(2)
5.3.2 Global quantities at spacelike infinity
117(9)
5.3.3 Global quantities at null infinity
126(5)
5.4 Quasi-local definitions
131(20)
5.4.1 Geometry of codimension-2 surface
132(7)
5.4.2 Misner-Sharp energy
139(2)
5.4.3 Hawking mass
141(4)
5.4.4 Brown-York quasi-local energy-momentum tensor
145(6)
5.4.5 Other quasi-local definitions
151(1)
5.5 Conclusion and discussion
151(2)
5.6 Asymptotically AdS spacetimes
153(6)
5.7 An example: Kerr--AdS spacetime
159(1)
5.8 Asymptotically dS spacetimes
160(9)
Bibliography
165(4)
6 Gravitational Energy and the Gauge Theory Perspective
169(20)
Chiang-Mei Chen
James M. Nester
6.1 Introduction
170(1)
6.2 Some historical background
170(1)
6.2.1 Automatic conservation of the source and gauge fields
170(1)
6.3 Noether's 1918 contribution
171(1)
6.4 Energy-momentum pseudotensors and the Hamiltonian
171(1)
6.5 The Hamiltonian approach
172(1)
6.6 Gauge and geometry
172(1)
6.7 Geometry: kinematics and dynamics
173(2)
6.8 The Poincare gauge theory of gravity
175(1)
6.8.1 Topological terms
176(1)
6.9 The covariant Hamiltonian formulation
176(3)
6.10 Application to the PG and GR
179(1)
6.10.1 Preferred Hamiltonian boundary terms
180(1)
6.11 The reference choice
180(3)
6.11.1 4D isometric matching
181(1)
6.11.2 An optimal choice
182(1)
6.12 Summary
183(6)
Bibliography
185(4)
7 Energy-Momentum in General Relativity
189(22)
Xiaoning Wu
Xiao Zhang
7.1 Energy-momentum of gravitational systems
189(8)
7.1.1 The total conserved quantities for matter fields
189(3)
7.1.2 The total conserved quantities for gravity
192(2)
7.1.3 Duan's energy-momentum
194(1)
7.1.4 ADM total energy and linear momentum
195(1)
7.1.5 Bondi's energy-momentum...
196(1)
7.2 Equivalence
197(3)
7.3 Positivity of the total energy
200(2)
7.4 Positive cosmological constant
202(4)
7.5 Acknowledgement
206(5)
Bibliography
207(4)
8 Introduction to Extra Dimensions and Thick Braneworlds
211(50)
Yu-Xiao Liu
8.1 Introduction
211(2)
8.2 Some extra dimension theories
213(11)
8.2.1 KK theory
213(3)
8.2.2 Non-compact extra dimension: domain wall model
216(3)
8.2.3 Large extra dimensions: ADD braneworld model
219(2)
8.2.4 Warped extra dimension: RS braneworld models
221(3)
8.3 Solutions of thick brane models in extended theories of gravity
224(18)
8.3.1 Metric f(R) theory
228(4)
8.3.2 Palatini f(R) theory
232(3)
8.3.3 Eddington inspired Born--Infeld theory
235(1)
8.3.4 Scalar-tensor theory
236(4)
8.3.5 f(T) theory
240(2)
8.4 Localization of bulk matter fields
242(15)
8.4.1 Scalar fields
243(2)
8.4.2 Vector fields
245(5)
8.4.3 Kalb--Ramond fields
250(2)
8.4.4 Fermion fields
252(5)
8.5 Summary
257(4)
Bibliography 261(16)
Appendix A Chronicle of Prof. Yi-Shi Duan's life 277(38)
Appendix B Chronicle of Prof. Yi-Shi Duan's life 315(26)
Appendix C List of Prof. Yi-Shi Duan's Publications 341