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Local PoincaréSymmetry in Gauge Theory of Gravity

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Communications in Theoretical Physics 2009年第5期51卷 843-844页

作者： MA Jian-Feng MA Yong-Ge Department of Physics Beijing Normal University Beijing 100875 China

It is well known that the Poincaré gauge theories of gravity do not have the structure of a standard gauge theory. Nevertheless, we show that a general form of action for the gravitational gauge fields in the gauge t... 详细信息

关键词： Poincaré gauge theory translation invariance Lorentz invariance

Interior Hlder and gradient estimates for the homogenization of the linear elliptic equations

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Science China Mathematics 2013年第8期56卷 1575-1584页

作者： ZHANG QiaoFu CUI JunZhi LSEC ICMSECAcademy of Mathematics and Systems ScienceChinese Academy of Sciences

H61der and gradient estimates for the correctors in the homogenization are presented based on the translation invariance and Li-Vogelius＇s gradient estimate. If the coefficients are piecewise smooth and the homogenized solution is smooth enough, the interior error of the first-order expansion is O（e） in the HSlder norm; it is O（e） in W1,∞ based on the Avellaneda-Lin＇s gradient estimate when the coefficients are Lipschitz continuous. These estimates can be partly extended to the nonlinear parabolic equations.

关键词： gradient estimate homogenization translation invariance de Giorgi-Nash estimate

Complex-Valued Valuations on L^(p) Spaces

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Wuhan University Journal of Natural Sciences 2022年第1期27卷 35-41页

作者： LIU Lijuan School of Mathematics and Computational Science Hunan University of Science and TechnologyXiangtan 411201HunanChina

All continuous translation invariant complex-valued valuations on Lebesgue measurable functions are completely *** all continuous rotation invariant complex-valued valuations on spherical Lebesgue measurable functions... 详细信息

关键词： convex body valuation translation invariance rotation invariance

translation gauge field theory of gravity in Minkowski spacetime

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Chinese Physics C 2023年第11期47卷 116-126页

作者：李航王平 Institute of High Energy Physics Chinese Academy of SciencesBeijing 100049China School of Physical Sciences University of Chinese Academy of SciencesBeijing 101408China

The gravitational field h_(μν)with spin-2 is introduced naturally by the requirement that the Lagrangian is locally translation invariant in Minkowski *** interactions between the h_(μν)and spin-1/2,0,1 matter fields are obtained along with the Lagrangian for the gravitational field including *** deflection angle of light when it passes through the sun is calculated with different gauge conditions as an *** leading-order result is the same as that from general relativity,although the basic ideas are *** is interesting that gravity can be described in a similar way to other fundamental interactions in Minkowski spacetime,and it may provide a new scenario for the Universe.

关键词： gravitational interaction translation invariance spin-2 field gauge interaction