从规范理论方法统一fractons、引力子和光子
Unifying fractons, gravitons and photons from a gauge theoretical approach
AI总结：
本文基于规范理论方法，采用带有规范群指标的矢量场（Einstein-Cartan变量）重新构造相对论性无隙fracton理论，证明该模型统一了线性引力、fractons与Maxwell方程，揭示了自旋液体等系统的带电相，并恢复了Blasi-Maggiore规范模型。
摘要：
我们重新审视了由A.~Blasi和N.~Maggiore发展的相对论性无隙fracton理论的第一性原理规范理论构造。不同之处在于，我们不再考虑对称张量场，而是考虑带有规范群指标的矢量场，即引力一阶形式中使用的通常的Einstein-Cartan变量。在讨论了该场最一般的二次作用量之后，我们探索了模型中包含的物理部分。特别地，我们证明了该模型不仅包含线性引力和fractons，还包含普通的Maxwell方程，这表明例如自旋液体和玻璃态动力学系统存在表观的带电相。此外，通过场变量的适当变换，我们恢复了fractons和线性引力的Blasi-Maggiore规范模型。
英文摘要：
We revisit the first principles gauge theoretical construction of relativistic gapless fracton theory developed by A.~Blasi and N.~Maggiore. The difference is that, instead of considering a symmetric tensor field, we consider a vector field with a gauge group index, \emph{i.e.} the usual Einstein-Cartan variable used in the first order formalism of gravity. After discussing the most general quadratic action for this field, we explore the physical sectors contained in the model. Particularly, we show that the model contains not only linear gravity and fractons, but also ordinary Maxwell equations, suggesting an apparent electrically charged phase of, for instance, spin liquids and glassy dynamical systems. Moreover, by a suitable change of field variables, we recover the Blasi-Maggiore gauge model of fractons and linear gravity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
