Long range forces and broken symmetries
Long range forces and broken symmetries
复制标题
长程力和对称性破缺
DOI：
10.1098/rspa.1973.0070
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发表时间：
1973
期刊：
影响因子：
--
通讯作者：
P. Dirac
中科院分区：
文献类型：
--
作者：
P. Dirac
有理由相信引力常数随时间变化。这种变化将迫使人们修改爱因斯坦的引力理论。建议修改应包括恢复外尔几何，其中当围绕闭环进行时，长度是不可积的，可积性的缺乏与电磁场有关。建立了一个新的作用原理，比 Weyl 的简单得多，但除了 gμν 之外，还需要标量场函数来描述引力场。计算出真空场方程以及粒子的运动方程。外尔几何的一个重要特征是它导致 C 和 T 对称性破缺，但 P 或 CT 对称性没有破缺。破裂不会通过更简单的带电粒子来表现出来，而是需要粒子的作用积分中更复杂的项。
There are reasons for believing that the gravitational constant varies with time. Such a variation would force one to modify Einstein’s theory of gravitation. It is proposed that the modification should consist in the revival of Weyl’s geometry, in which lengths are non-integrable when carried around closed loops, the lack of integrability being connected with the electromagnetic field. A new action principle is set up, much simpler than Weyl’s, but requiring a scalar field function to describe the gravitational field, in addition to the gμν. The vacuum field equations are worked out and also the equations of motion for a particle. An important feature of Weyl’s geometry is that it leads to a breaking of the C and T symmetries, with no breaking of P or of CT. The breaking does not show itself up with the simpler kinds of charged particles, but requires a more complicated kind of term in the action integral for the particle.