论文标题
具有自己的类似杨米尔斯的行动的仪表玻色子实施了当地的一般相对性的洛伦兹的不变性吗？
Is the local Lorentz invariance of general relativity implemented by gauge bosons that have their own Yang-Mills-like action?
论文作者
论文摘要
与费米子的一般相对性具有两个独立的对称性：一般坐标不变性和局部洛伦兹的不变性。一般坐标不变性是由Levi-Civita的连接和Cartan的Tetrads实施的，这两种连接都作为Einstein-Hilbert行动。在这里建议，当地的洛伦茨不变性不是通过列维 - 菲塔连接和cartan的四核的结合来实现的，而是由独立的洛伦兹·波森（Lorentz Bosons l_i）lorentz lorentz group的独立lorentz bosons l_i来实现，而lorentz group则与Yang-Mills Fields这样的费米斯（Fermions）和Yang-Mills Fields等福音（Fermions）和自己的Yang-Mills类似。需要一个非词性4 x 4 Hermitian标量场H，以使Lorentz玻色子在局部Lorentz变换下不变。 Lorentz Bosons夫妇到Fermion数字，并产生违反弱等价原理的自旋依赖性静态电位。如果希格斯机制使它们变得巨大，那么静态电位也违反了反方法律。实验使质量M_L <20 eV的潜力的强度放大了上限。这些上限意味着洛伦兹玻色子（如果存在）几乎稳定，并导致了暗物质。
General relativity with fermions has two independent symmetries: general coordinate invariance and local Lorentz invariance. General coordinate invariance is implemented by the Levi-Civita connection and by Cartan's tetrads both of which have as their action the Einstein-Hilbert action. It is suggested here that local Lorentz invariance is implemented not by a combination of the Levi-Civita connection and Cartan's tetrads known as the spin connection, but by independent Lorentz bosons L_i that gauge the Lorentz group, that couple to fermions like Yang-Mills fields, and that have their own Yang-Mills-like action. A nonsingular 4 x 4 hermitian scalar field h is needed to make the action of the Lorentz bosons invariant under local Lorentz transformations. Lorentz bosons couple to fermion number and generate a spin-dependent static potential that violates the weak equivalence principle. If a Higgs mechanism makes them massive, then the static potential also violates the inverse-square law. Experiments put upper bounds on the strength of such a potential for masses m_L < 20 eV. These upper limits imply that Lorentz bosons, if they exist, are nearly stable and contribute to dark matter.
