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Schwarzschild-de-Sitter Solution in Quantum gauge theory of Gravity

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Communications in Theoretical Physics 2007年第5期47卷 843-846页

作者： Gheorghe Zet Camelia Popa Doina Partenie Department of Physics ＂Gh. Asachi＂ Technical University Iasi 700050 Romania Faculty of Physics ＂A1. I. Cuza＂ University Iasi 700506 Romania

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.

关键词： gauge theory gravitational field spherical symmetry

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STATIC AND SPHERICALLY SYMMETRIC MONOPOLE SOLUTIONS IN SU(N) gauge theory

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Science in China,Ser.A 1982年第11期 1172-1186页

作者：马中骐 Institute of High Energy Physics Academia Sinica Beijing

In the interaction system of the SU(N) gauge and the Higgs fields in adjoint *** find out all the point monopole solutions of SU(N) static and spherically symmetric gange fieldsas asymptotic forms of finite-mass regular monopole solutions at space infinity and in the Higgsvacuum region. We tabulate all the unequivalent or unquasi-equivalent monopole solutions and theirtotal magnetic charges for SU(N), N = 2,3,4,5. Finally we discuss the relation between magneticcharge and the topological property of the Higgs field concretely.

关键词： ABA ABB BAA STATIC AND SPHERICALLY SYMMETRIC MONOPOLE SOLUTIONS IN SU gauge theory

A MODEL OF ELECTRO-WEAK INTERACTION IN SU(3)×U(1)gauge theory

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Science China Mathematics 1980年第5期 566-573页

作者：周光召高崇寿 Department of Physics Institute of Theoretical Physics Beijing University Academia Sinica

The helicity mixed representation is used to construct a model of electro-weak interaction inSU（3）×U（1） gauge theoir. It reduces in the low energy region to the simple SU（2）×U（1） modelin the limit of sinθ= ... 详细信息

关键词： A MODEL OF ELECTRO-WEAK INTERACTION IN SU gauge theory

gauge PRINCIPLE AND VARIATIONAL FORMULATION FOR FLOWS OF AN IDEAL FLUID

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Acta Mechanica Sinica 2003年第5期19卷 437-452页

作者： KAMBETsutomu InstituteofDynamicalSystems Higashi-yama2-11-3Meguro-kuTokyo153-0043Japan

A gauge principle is applied to mass flows of an ideal compressible fluid subject to Galilei transformation. A free-field Lagrangian defined at the outset is invariant with respect to global SO(3) gauge transformations as well as Galilei transformations. The action principle leads to the equation of potential flows under constraint of a continuity equation. However, the irrotational flow is not invariant with respect to local SO(3) gauge transformations. According to the gauge principle,a gauge-covariant derivative is defined by introducing a new gauge field. Galilei invariance of the derivative requires the gauge field to coincide with the vorticity, i.e. the curl of the velocity field. A full gauge-covariant variational formulation is proposed on the basis of the Hamilton's principle and an assoicated Lagrangian. By means of an isentropic material variation taking into account individual particle motion, the Euler's equation of motion is derived for isentropic flows by using the covariant derivative. Noether's law associated with global SO(3) gauge invariance leads to the conservation of total angular momentum. In addition, the Lagrangian has a local symmetry of particle permutation which results in local conservation law equivalent to the vorticity equation.

关键词： ideal fluid flow Variational formulation Vorticity gauge theory SO(3)

Lepton Flavor Violating Z→e_I■_J in SO(3) gauge Extension of SM

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Communications in Theoretical Physics 2010年第10期54卷 709-714页

作者：王雯宇王玉霞熊兆华 Institute of Theoretical Physics Beijing University of Technology

The SO（3） gauge extension of SM, which is proposed to present a successful explanation for the observed small masses of neutrino and the nearly tri-bimaximal neutrino mixing, predicted the vector-like SO（3） triplet Majorana neutrinos and SUL（2） double Higgs bosons. In this work we calculate branching ratios of the charged lepton flavor violating decays lIlJV （V = γ, Z） induced by these Majorana neutrinos and Higgs bosons. We find that under the model parameters constrained by experimental bounds on the decays Z →lIlJ, the branching ratio of decays lI→lJγ can be up to 10^-10, which may be accessible at the future experiments.

关键词： new physics beyond SM neutrino gauge theory

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Solving local constraint condition problem in slave particle theory with the BRST quantization

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Communications in Theoretical Physics 2023年第9期75卷 173-181页

作者： Xi Luo Jianqiao Liu Yue Yu College of Science University of Shanghai for Science and TechnologyShanghai 200093China Department of Physics Fudan UniversityShanghai 200433China

With the Becchi-Rouet-Stora-Tyutin(BRST) quantization of gauge theory,we solve the long-standing difficult problem of the local constraint conditions,*** single occupation of a slave particle per site,in the slave particle *** difficulty is actually caused by inconsistently dealing with the local Lagrange multiplier λ_(i) which ensures the constraint:in the Hamiltonian formalism of the theory,λ_(i) is time-independent and commutes with the Hamiltonian while in the Lagrangian formalism,λ_(i)(t) becomes time-dependent and plays a role of gauge *** implies that the redundant degrees of freedom of λ_(i)(t) are introduced and must be removed by the additional constraint,the gauge fixing condition(GFC) ?_tλ_(i)(t)= *** literature,this GFC was *** add this GFC and use the BRST quantization of gauge theory for Dirac's first-class constraints in the slave particle *** GFC endows λ_(i)(t) with dynamics and leads to important physical *** an example,we study the Hubbard model at half-filling and find that the spinon is gapped in the weak U and the system is indeed a conventional metal,which resolves the paradox that the weak coupling state is a superconductor in the previous slave boson mean field(MF) *** the t-J model,we find that the dynamic effect of λ_(i)(t) substantially suppresses the d-wave pairing gap and then the superconducting critical temperature may be lowered at least a factor of one-fifth of the MF value which is of the order of 1000 *** renormalized T_c is then close to that in cuprates.

关键词： slave particle BRST gauge theory high T_c superconductivity Hubbard model t–J model

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FERMIONS IN KERR-NEWMAN-KASUYA SPACE-TIME

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FERMIONS IN KERR-NEWMAN-KASUYA SPACE-TIME

FERMIONS IN NUT-KERR-NEWMAN SPACE-TIME

The 4th Session of 2005 Workshop of Pakistan Academy of Sciences

作者： Elias Uddin Biswas Department of Mathematics Shahjalal University of Science and TechnologySylhetBangladesh

The aim of this paper is to build up the U（1）- gauge theory for fermions in the curve spacetime such as Kerr-Newman-Kasuya space-time. The Kerr-Newman-Kasuya space-time is not a black hole space-time but it has the ... 详细信息

关键词： gauge theory black hole space-time horizon magnetic monopole charge null complex tetrads

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FERMIONS IN NUT-KERR-NEWMAN SPACE-TIME