Quantum phase transition and resurgence: Lessons from three-dimensional N=4 supersymmetric quantum electrodynamics
Quantum phase transition and resurgence: Lessons from three-dimensional N=4 supersymmetric quantum electrodynamics
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量子相变与复兴：三维 N=4 超对称量子电动力学的教训
DOI：
10.1093/ptep/ptab086
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发表时间：
2021
影响因子：
3.5
通讯作者：
Yoda Takuya
中科院分区：
文献类型：
--
作者：
Fujimori Toshiaki;Honda Masazumi;Kamata Syo;Misumi Tatsuhiro;Sakai Norisuke;Yoda Takuya
我们研究了一个具有相变的量子场论的复活结构，以揭示复活与相变之间的关系。我们特别关注具有多个超多重态的三维超对称量子电动力学（SQED），其中最近提出了在大风味极限下的二阶量子相变。我们从Lefschetz顶针和回潮的观点对相变进行了解释。为此，我们研究了由超对称局域化得到的配分函数的大风味展开的Lefschetz顶针结构和性质。我们证明二阶相变可以理解为Stokes现象和反Stokes现象同时发生的现象。相变的顺序取决于鞍座在临界点处的碰撞情况。此外，由于超对称，相变伴随着无数的斯托克斯现象。正如复苏理论所期望的那样，这些特征被恰当地映射到Borel平面结构上。鉴于SQED的经验教训，我们对复苏与相变之间的关系进行了更广泛的讨论。特别是，我们展示了如何从Borel恢复技术解码有关相变的信息。
We study a resurgence structure of a quantum field theory with a phase transition to uncover relations between resurgence and phase transitions. In particular, we focus on three-dimensionalsupersymmetric quantum electrodynamics (SQED) with multiple hypermultiplets, where a second-order quantum phase transition has recently been proposed in the large-flavor limit. We provide interpretations of the phase transition from the viewpoints of Lefschetz thimbles and resurgence. For this purpose, we study the Lefschetz thimble structure and properties of the large-flavor expansion for the partition function obtained by the supersymmetric localization. We show that the second-order phase transition is understood as a phenomenon where a Stokes and an anti-Stokes phenomenon occur simultaneously. The order of the phase transition is determined by how saddles collide at the critical point. In addition, the phase transition accompanies an infinite number of Stokes phenomena due to the supersymmetry. These features are appropriately mapped to the Borel plane structures as the resurgence theory expects. Given the lessons from SQED, we provide a more general discussion on the relationship between the resurgence and phase transitions. In particular, we show how the information on the phase transition is decoded from the Borel resummation technique.