- Full text PDF available (33)
- This year (0)
- Last 5 years (0)
- Last 10 years (3)
Journals and Conferences
Some problems on variations are raised for classical discrete mechanics and field theory and the difference variational approach with variable step-length is proposed motivated by Lee’s approach to discrete mechanics and the difference discrete variational principle for difference discrete mechanics and field theory on regular lattice. Based upon Hamilton’s… (More)
In the literature, a uniformly accelerated reference frame is defined as a set of observers who remain at rest with respect to a given observer Alice who is accelerating at a constant rate with respect to the instantaneously comoving inertial frames. Two observers Alice and Bob are said to be at rest with respect to each other if the time elapses on the… (More)
We propose the difference discrete variational principle in discrete mechanics and symplectic algorithm with variable step-length of time in finite duration based upon a noncommutative differential calculus established in this paper. This approach keeps both symplicticity and energy conservation discretely. We show that there exists the discrete version of… (More)
A discrete total variation calculus is presented in this paper. Using this calculus, we prove that the solution of the system of difference equations in Lee s discrete mechanics preserves a symplectic structure in the space–time sense. Numerical experiments are also reported. 2005 Elsevier Inc. All rights reserved.
The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein’s GR in the stationary, axisymmetric black holes, the mass formula in vacuum can be derived from this Noether… (More)
Based upon the intrinsic relation between the divergent lower point functions and the convergent higher point ones in the renormalizable quantum field theories, we propose a new method for regularization and renormalization in QFT. As an example, we renormalize the φ theory at the one loop order by means of this method.
Two kinds of realizations of symmetry on classical domains or the Euclidean version of AdS space are used to study AdS/CFT correspondence. Mass of free particles is defined as an AdS group invariant, the Klein-Gordon and Dirac equations for relativistic particles in the AdS space are set up as a simple mimic in the case of Minkowskian space. The… (More)
Han-Ying Guo, Chao-Guang Huang, Zhan Xu, and Bin Zhou 1 CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China, 2 Institute of Theoretical Physics, Chinese Academy of Sciences, P.O.Box 2735, Beijing 100080, China, 3 Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918-4, Beijing 100039, China, and 4 Physics Department,… (More)
Using the well-known Chern-Weil formula and its generalization, we systematically construct the Chern-Simons forms and their generalization induced by torsion as well as the Nieh-Yan (N-Y) forms. We also give an argument on the vanishing of integration of N-Y form on any compact manifold without boundary. A systematic construction of N-Y forms in D=4n… (More)
In a way similar to the continuous case formally, we define in different but equivalent manners the difference discrete connection and curvature on discrete vector bundle over the regular lattice as base space. We deal with the difference operators as the discrete counterparts of the derivatives based upon the differential calculus on the lattice. One of… (More)