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- Muxin Han, Weiming Huang, Yongge Ma
- 2007

1 Abstract In recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, nonperturba-tive quantum theory for Lorentzian gravitational field on four dimensional… (More)

- Muxin Han, Yongge Ma
- 2008

We introduce a Master Constraint OperatorˆM densely defined in the diffeomorphism invariant Hilbert space in loop quantum gravity. The corresponding quadratic form coincides with the one proposed by Thiemann in the master constraint programme. It is shown thatˆM is positive and symmetric, and hence has its Friedrichs self-adjoint extension. So the master… (More)

We consider the Palatini formalism of gravity with cosmological constant Λ coupled to a scalar field φ in n-dimensions. The n-dimensional Einstein equations with Λ can be derived by the variation of the coupled Palatini action provided n > 2. The Hamiltonian analysis of the coupled action is carried out by a 1 + (n − 1) decomposition of the spacetime. It… (More)

We consider a 5-dimensional scalar-tensor theory which is a direct generalization of the original 4-dimensional Brans-Dicke theory to 5-dimensions. By assuming that there is a hypersurface-orthogonal spacelike Killing vector field in the underlying 5-dimensional space-time, the theory is reduced to a 4-dimensional theory where the 4-metric is coupled with… (More)

- Muxin Han, Yongge Ma
- 2008

In recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. We consider the quantum dynamics of a real massless scalar field coupled to gravity in this framework. A Hamiltonian operator for the scalar field can be well defined in the coupled diffeomorphism… (More)

- Han He, Yongge Ma, Xuejun Yang
- 2008

In a space-time M with a Killing vector field ξ a which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξ a gives a 3-dimensional space S. Besides the symmetry-reduced action from that of Einstein-Hilbert, an alternative action of the fields on S is also proposed which gives the same fields equations as those… (More)

- Muxin Han, Yongge Ma
- 2008

We introduce a master constraint operatorˆM densely defined in the diffeomor-phism invariant Hilbert space in loop quantum gravity, which corresponds classically to the master constraint in the programme. It is shown thatˆM is positive and symmetric, and hence has its Friedrichs self-adjoint extension. The same conclusion is tenable for an alternative… (More)

Next-generation sequencing (NGS) greatly promotes the research and development of whole-genome sequencing technology. Genomic sequence assemblers and algorithms dealing with high-throughput short-read data have been the cutting-edge issues in the field. This paper discusses several latest sequence assemblers and their algorithms, and conducts a comparative… (More)

A free test particle in 5-dimensional Kaluza-Klein spacetime will show its electricity in the reduced 4-dimensional spacetime when it moves along the fifth dimension. In the light of this observation, a 5-dimensional dust field is introduced in the Kaluza-Klein spacetime, which can give exactly the source of the electromagnetic field in the 4-dimensional… (More)

- Yongge Ma
- 2008

A 4-dimensional Lorentzian static space-time is equivalent to 3-dimensional Euclidean gravity coupled to a massless Klein-Gordon field. By quantizing canonically the coupling model in the framework of loop quantum gravity, we obtain a quantum theory which actually describes quantized static space-times. The Kinematical Hilbert space is the product of the… (More)