标题： 广义相对论作为GL(4,R)自发对称性破缺的有效理论 显示英文标题

标题： General Relativity as the effective theory of GL(4,R) spontaneous symmetry breaking

摘要： 我们假设一个GL(4,R)时空对称性，该对称性被自发地打破为SO(3,1)。 我们通过在非线性实现的对称性下使用Goldstone场和在未破缺洛伦兹子群下线性变换的物质场来进行有效理论的陪集构造。 然后，我们识别出在破缺对称性下也线性变换的Goldstone场和物质场的函数。 用这些量来表示，有效理论再现了广义相对论的vierbein形式，其中一般的坐标不变性在GL(4,R)上自动非线性实现。 陪集构造不假设任何可能负责所假设对称性破缺的基础理论。 我们简要讨论了以GL(4,R)而不是洛伦兹时空对称性作为基础动力学的场论的可能性。 显示英文摘要

摘要： We assume a GL(4,R) space-time symmetry which is spontaneously broken to SO(3,1). We carry out the coset construction of the effective theory for the non-linearly realized broken symmetry in terms of the Goldstone fields and matter fields transforming linearly under the unbroken Lorentz subgroup. We then identify functions of the Goldstone and matter fields that transform linearly also under the broken symmetry. Expressed in terms of these quantities the effective theory reproduces the vierbein formalism of General Relativity with general coordinate invariance being automatically realized non-linearly over GL(4,R). The coset construction makes no assumptions about any underlying theory that might be responsible for the assumed symmetry breaking. We give a brief discussion of the possibility of field theories with GL(4,R) rather than Lorentz space-time symmetry providing the underlying dynamics.