非定域场论中的广义守恒律
Generalised conservation laws in non-local field theories
摘要：
我们提出了一个几何处理的对称性在非本地场论，其中的非本地性是由于缺乏识别的领域参数的行动。我们表明，存在的对称性的行动导致一个广义的守恒定律，其中通常的保守电流获得一个额外的非局部校正项，获得一个概括的标准诺特定理。我们通过讨论描述玻色-爱因斯坦凝聚体的流体动力学近似的复标量场论的具体物理例子来说明一般形式。我们希望我们的分析和结果是特别感兴趣的量子引力的群场论制定。
英文摘要：
We propose a geometrical treatment of symmetries in non-local field theories, where the non-locality is due to a lack of identification of field arguments in the action. We show that the existence of a symmetry of the action leads to a generalised conservation law, in which the usual conserved current acquires an additional non-local correction term, obtaining a generalisation of the standard Noether theorem. We illustrate the general formalism by discussing the specific physical example of complex scalar field theory of the type describing the hydrodynamic approximation of Bose-Einstein condensates. We expect our analysis and results to be of particular interest for the group field theory formulation of quantum gravity.
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