Chaos in chiral condensates in gauge theories
Chaos in chiral condensates in gauge theories
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规范理论中手性凝聚态的混沌
DOI：
10.1103/physrevlett.117.231602
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发表时间：
2016
影响因子：
8.6
通讯作者：
Keiju Murata， Kentaroh Yoshida
中科院分区：
文献类型：
--
作者：
Koji Hashimoto;Keiju Murata， Kentaroh Yoshida
为一般量子场论的动力学分配混沌指数是一个具有挑战性的问题，因为李亚普诺夫指数的概念只适用于经典系统。李亚普诺夫指数对于区分混沌行为很有用。我们通过使用对应来解决这个问题，因为大的极限提供了经典(而不是标准)，同时保持了非平凡的量子凝聚。我们证明了量子规范理论动力学中的混沌：均匀夸克凝聚的时间演化和超对称QCD中大t Hooft耦合下的时间演化呈现正的Lyapunov指数。混沌在能量密度的相空间中占主导地位，这里有夸克质量。我们计算了最大Lyapunov指数作为的函数，发现超对称的QCD越小越混沌。
Assigning a chaos index for dynamics of generic quantum field theories is a challenging problem because the notion of a Lyapunov exponent, which is useful for singling out chaotic behavior, works only in classical systems. We address the issue by using thecorrespondence, as the largelimit provides a classicalization (other than the standard) while keeping nontrivial quantum condensation. We demonstrate the chaos in the dynamics of quantum gauge theories: The time evolution of homogeneous quark condensatesandin ansupersymmetric QCD with thegauge group at largeand at a large ’t Hooft couplingexhibits a positive Lyapunov exponent. The chaos dominates the phase space for energy density, whereis the quark mass. We evaluate the largest Lyapunov exponent as a function ofand find that thesupersymmetric QCD is more chaotic for smaller.