共查询到20条相似文献,搜索用时 31 毫秒
1.
We investigate the decomposition of noncommutative gauge potential
Âi, and find that it has inner structure, namely,
Âi can be decomposed in two parts, hat{b}i and
âi, where hat{b}i satisfies gauge transformations
while âi satisfies adjoint transformations, so dose the
Seiberg-Witten mapping of noncommutative U(1) gauge potential. By
means of Seiberg-Witten mapping, we construct a mapping of unit
vector field between noncommutative space and ordinary space, and
find the noncommutative U(1) gauge potential and its gauge field
tensor can be expressed in terms of the unit vector field. When the
unit vector field has no singularity point, noncommutative gauge
potential and gauge field tensor will equal ordinary gauge
potential and gauge field tensor 相似文献
2.
A new mechanism for mass generation of gauge field is discussed in this paper.By introducing two sets of gauge fields and making the variations of these two sets of gauge fields compensated each other under local gauge transformations,the mass term of gauge fields is introduced into the Lagrangian without violating the local gauge symmetry of the Lagrangian.This model is a renormalizable quantum model. 相似文献
3.
Gravitational interactions of Dirac field are
studied in this paper. Based on gauge principle, quantum gauge
theory of gravity, which is perturbatively renormalizable, is
formulated in the Minkowski space-time. In quantum gauge theory of
gravity, gravity is treated as a kind of fundamental interactions,
which is transmitted by gravitational gauge field, and Dirac field
couples to gravitational field through gravitational gauge
covariant derivative. Based on this theory, we can easily explain
gravitational phase effect, which has already been detected by COW
experiment. 相似文献
4.
5.
Quantum gauge theory of gravity is formulated based on gauge principle. Because the Lagrangian hasstrict local gravitational gauge symmetry, gravitational gauge theory is a perturbatively renormalizable quantum theory.Gravitational gauge interactions of scalar field are studied in this paper. In quantum gauge theory of gravity, scalar fieldminimal couples to gravitational field through gravitational gauge covariant derivative. Comparing the Lagrangian forscalar field in quantum gauge theory of gravity with the corresponding Lagrangian in quantum fields in curved space-time, the definition for metric in curved space-time in geometry picture of gravity can be obtained, which is expressedby gravitational gauge field. In classical level, the Lagrangian and Hamiltonian approaches are also discussed. 相似文献
6.
Quantum gauge theory of gravity is formulated based on gauge principle. Because the Lagrangian has strict local gravitational gauge symmetry, gravitational gauge theory is a perturbatively renormalizable quantum theory. Gravitational gauge interactions of scalar field are studied in this paper. In quantum gauge theory of gravity, scalar field minimal couples to gravitational field through gravitational gauge covariant derivative. Comparing the Lagrangian for scalar field in quantum gauge theory of gravity with the corresponding Lagrangian in quantum fields in curved space-time, the definition for metric in curved space-time in geometry picture of gravity can be obtained, which is expressed by gravitational gauge field. In classical level, the Lagrangian and Hamiltonian approaches are also discussed. 相似文献
7.
Based on the decomposition theory of the U(1) gauge potential, the inner structure of the statistical gauge potential
in the Chern-Simons-Ginzburg-Landau (CSGL) theory is studied. We
give a new creation mechanism of the statistical gauge potential.
Furthermore, making use of the
φ-mapping topological current
theory, we obtain the precise topological expression of the
statistical magnetic field, which takes the topological
information of the vortices. 相似文献
8.
We present a straightforward model of the U(1) gauge equations of Dirac and Maxwell, as well as the U(n) Yang–Mills equations where all fields and gauge transformations take values in a Clifford algebra. When expressed in terms of the Clifford components of the fields, the equations display various gauge symmetries which we intestigate for all Clifford algebras. In particular, for the Pauli algebra, the Dirace CA equations possess the SU(2) × U(1)-symmetry. 相似文献
9.
Gheorghe Zet Camelia Popa Doina Partenie 《理论物理通讯》2007,47(5):843-846
We use the theory based on the gravitational gauge group G to obtain a spherical symmetric solution of the field equations for the gravitational potentials on a Minkowski space-time. The gauge group G is defined and then we introduce the gauge-covariant derivative Dμ. The strength tensor of the gravitational gauge field is also obtained and a gauge-invariant Lagrangian including the cosmological constant is constructed. A model whose gravitational gauge potentials A^α μ (x) have spherical symmetry, depending only on the radial coordinate τ is considered and an analytical solution of these equations, which induces the Schwarzschild-de-Sitter metric on the gauge group space, is then determined. All the calculations have been performed by GR Tensor II computer algebra package, running on the Maple V platform, along with several routines that we have written for our model. 相似文献
10.
3维U(1)改进格点规范理论中胶球质量和胶球波函数 总被引:1,自引:1,他引:0
用改进的格点规范场哈密顿量和截断本征方程法计算2+1维U(1)规范场的胶球质量(质量隙)和胶球波函数,结果显示出较好的标度行为. 相似文献
11.
Considering the fractal structure of space-time, the scale relativity theory in the topological dimension
DT=2 is built. In such a conjecture, the geodesics of this space-time imply the hydrodynamic model of the quantum mechanics. Subsequently, the gauge gravitational field on a fractal space-time is given. Then, the gauge group, the gauge-covariant
derivative, the strength tensor of the gauge field, the gauge-invariant
Lagrangean, the field equations of the gauge potentials and the gauge
energy-momentum tensor are determined. Finally, using this model, a
Reissner-Nordström type metric is obtained. 相似文献
12.
E. C. Manavella 《International Journal of Theoretical Physics》2001,40(8):1453-1474
A classical nonrelativistic U(1) × U(1) gauge field model for the electromagnetic interaction of composite particles is proposed and the quantum formalism is constructed. This gauge model containing a Chern–Simons U(1) field and the electromagnetic U(1) field can be coupled to both a bosonic or a fermionic matter field. We explicitly consider the second case, a composite fermion system in the presence of an electromagnetic field, and we carry out the canonical quantization by the Dirac method. The path integral approach is developed and the Feynman rules are established. A simplified model is considered. As an alternative path integral method, the BRST formalism for this gauge model is also treated. 相似文献
13.
Based upon a fundamental principle, the generalized gauge principle, we construct a general model with GL×G'R×Z2 gauge symmetry, where Z2 = π4(GL) is the fourth homotopy group of the gauge group GL, by means of the non-commutative differential geometry and reformulating the standard model with the Higgs field being a gauge field on the fourth homotopy group of their gauge groups. We show that in this approach not only the Higgs field is automatically introduced on an equal footing with ordinary Yang-Mills gauge potentials and there are no extra constraints among the parameters at the tree level but also most importantly the models survive quantum corrections. 相似文献
14.
15.
2+1维U(1)格点规范场论中真空态的研究 总被引:2,自引:2,他引:0
对2+1维U(1)格点规范场论真空态进行研究,仔细推导出连续极限下真空谈函数中参数μ0和μ2的普适表达式,并用截断本征方程法进行数值计算. 相似文献
16.
Some problems about global transformations in the SLq(2) gauge field and correlative thermodynamics model have been investigated in this paper. We proved that the quantum trace of gauge potential is not gauge-invariant if we compose two GLq(2) gauge transformations. In addition, it has been discovered in SLq(2) thermodynamics model that thermodynamics average of an observable quantity does not satisfy similar gauge invariance. We also found that the thermodynamics average can be only calculated in the case of zero energy gap. This fact shows that the q-deformed energy equation in superconductivity theory is unable to derive naturally from quantum trace model. 相似文献
17.
M. Agop Camelia Popa Anca Harabagiu 《理论物理通讯》2008,50(11):1197-1204
Considering the fractal structure of space-time, the scale relativity theory in the topological dimension DT = 2 is built. In such a conjecture, the geodesics of this space-time imply the hydrodynamic model of the quantum mechanics. Subsequently, the gauge gravitational field on a fractal space-time is given. Then, the gauge group, the gauge-covariant derivative, the strength tensor of the gauge field, the gauge-invariant Lagrangean, the field equations of the gauge potentials and the gauge energy-momentum tensor are determined. Finally, using this model, a Reissner- Nordstrom type metric is obtained. 相似文献
18.
用改进的格点规范场哈密顿量和截断本征方程法计算2+1维U(1)规范场的0++胶球波函数,三阶结果比二阶结果的标度行为有了较大的改善. 相似文献
19.
A systematic method is developed to study the classical motion of a mass point in gravitational gauge field.First,by using Mathematica,a spherical symmetric solution of the field equation of gravitational gauge field is obtained,which is just the traditional Schwarzschild solution.Combining the principle of gauge covariance and Newton's second law of motion,the equation of motion of a mass point in gravitational field is deduced.Based on the spherical symmetric solution of the field equation and the equation of motion of a mass point in gravitational field,we can discuss classical tests of gauge theory of gravity,including the deflection of light by the sun,the precession of the perihelia of the orbits of the inner planets and the time delay of radar echoes passing the sun.It is found that the theoretical predictions of these classical tests given by gauge theory of gravity are completely the same as those given by general relativity. 相似文献
20.
The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored. Among other statements it is shown: (i) the transfer-matrix is block-diagonal, (ii) all consisting vectors of a block are known based on an arbitrary block vector, (iii) the ground-state belongs to the zero-mode's block. The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified. Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements. 相似文献