论文标题
在离散的重力模型和病房身份中流动：评论
Flowing in discrete gravity models and Ward identities: A review
论文作者
论文摘要
病房 - 塔卡哈西的身份是相关函数之间的非扰动关系，并且是量子和统计田地理论中的对称性引起的，作为对古典理论的noectrent currents curtrents。由于它们的历史起源，这些身份被认为证明了反处理与扰动扩张的所有顺序之间的确切关系。最近，对于某些类别的量子场理论（即张力组群体理论和矩阵模型）的非扰动重新归一化组方面而言，它们被认为是其相互作用中特定非局部性的特征，并且预计将提供量子重力的离散模型。在这篇综述中，我们总结了艺术的状态，重点关注概念方面，而不是技术细微之处，并对这种小说和有希望的调查方式提供了统一的反思。我们非常重视演讲的教学法和自我一致性。
Ward-Takahashi identities are nonperturbative relations between correlation functions and arising from symmetries in quantum and statistical fields theories, as Noether currents conservation for classical theories. Since their historical origin, these identities were considered to prove the exact relation between counter-terms to all order of the perturbative expansion. Recently they have been considered in relation with nonperturbative renormalization group aspects for some classes of quantum field theories namely tensorial group field theories and matrix models, both characterized by a specific non-locality in their interactions, and expected to provide discrete models for quantum gravity. In this review, we summarize the state of the art, focusing on the conceptual aspects rather than technical subtleties, and provide a unified reflection on this novel and promising way of investigation. We attached great importance to the pedagogy and the self-consistency of the presentation.
