经典希格斯场理论III。度规-仿射规范理论
Theory of Classical Higgs Fields. III. Metric-affine gauge theory
摘要：
考虑主丛$P\to X$上具有自发对称性破缺缺的经典规范理论，主丛的结构群$G$可约化为闭子群$H$，商丛$P/H\to X$的截面被视为经典Higgs场.它最全面的例子是自然丛范畴上的度量仿射规范理论，其中规范场是流形$X$上的一般线性连接，经典希格斯场是$X$上的任意伪黎曼度量，物质场是旋量场。特别是规范引力理论。
英文摘要：
We consider classical gauge theory with spontaneous symmetry breaking on a principal bundle $P\to X$ whose structure group $G$ is reducible to a closed subgroup $H$, and sections of the quotient bundle $P/H\to X$ are treated as classical Higgs fields. Its most comprehensive example is metric-affine gauge theory on the category of natural bundles where gauge fields are general linear connections on a manifold $X$, classical Higgs fields are arbitrary pseudo-Riemannian metrics on $X$, and matter fields are spinor fields. In particular, this is the case of gauge gravitation theory.
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