论文标题
小组字段理论的随机动力学
Stochastic dynamics for Group Field Theories
论文作者
论文摘要
对于几何发生场景的基本特征，预期具有自发对称性破坏的相变。以下论文旨在通过使用gibbs-boltzmann分布必须分解的千古假说来研究小组场理论的平衡阶段。通过引入一个虚拟的时间来诱导通过langevin方程描述的随机过程，可以动态地考虑恐怖性的破裂，从中，张量场的随机性将是一个结果。这种方程式被认为是尤其是对于复杂的良性可公平的Abelian等级d = 5的模型，我们通过使用重新归一化的组来研究其某些特性，这些属性都考虑到时间和空间上的粗糙度。
Phase transitions with spontaneous symmetry breaking are expected for group field theories as a basic feature of the geometogenesis scenario. The following paper aims to investigate the equilibrium phase for group field theory by using the ergodic hypothesis on which the Gibbs-Boltzmann distributions must break down. The breaking of the ergodicity can be considered dynamically, by introducing a fictitious time inducing a stochastic process described through a Langevin equation, from which the randomness of the tensor field will be a consequence. This type of equation is considered particularly for complex just-renormalizable Abelian model of rank d = 5, and we study some of their properties by using a renormalization group considering a coarse- graining both in time and space.
