Thermal quenches in $ \mathcal{N} $ = 2* plasmas
Thermal quenches in $ \mathcal{N} $ = 2* plasmas
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DOI：
10.1007/jhep08(2012)049
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发表时间：
2012-06
影响因子：
5.4
通讯作者：
A. Buchel;L. Lehner;R. Myers
中科院分区：
文献类型：
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作者：
A. Buchel;L. Lehner;R. Myers
我们利用规范/重力对偶研究'热淬火'在等离子体的强耦合= 2* 规范理论。具体地说，我们考虑的玻色子或费米子质量的变化下的理论的初始热平衡态的响应，以m/T 1领先的顺序。当使质量随时间变化时，必须引入新的新的反项来重新正规化边界理论。我们考虑了从共形超杨-米尔斯理论到质量形变规范理论的跃迁以及反跃迁。通过构造，这些跃迁是由一个特征时间尺度控制的，我们展示了系统的响应如何依赖于这个时间尺度与热时间尺度1/T的比值。的响应显示出有趣的缩放行为的限制，快速淬灭与T 1和慢淬灭与T 1。在T→∞的极限下，我们观察到预期的绝热响应。对于快速淬火，放松到最终平衡控制的最低quasinormal模式的批量标量对偶淬火运营商。对于慢猝灭，系统松弛与（近）绝热响应，这是完全由后期的时间分布的质量。我们描述了新的重整化方案在定义规范不变观测量的理论与时间相关的耦合的歧义。
We exploit gauge/gravity duality to study ‘thermal quenches’ in a plasma of the strongly coupled= 2* gauge theory. Specifically, we consider the response of an initial thermal equilibrium state of the theory under variations of the bosonic or fermionic mass, to leading order in m/T≪ 1. When the masses are made to vary in time, novel new counterterms must be introduced to renormalize the boundary theory. We consider transitions the conformal super-Yang-Mills theory to the mass deformed gauge theory and also the reverse transitions. By construction, these transitions are controlled by a characteristic time scaleand we show how the response of the system depends on the ratio of this time scale to the thermal time scale 1/T. The response shows interesting scaling behaviour both in the limit of fast quenches with T≪ 1 and slow quenches with T≫ 1. In the limit that T→∞, we observe the expected adiabatic response. For fast quenches, the relaxation to the final equilibrium is controlled by the lowest quasinormal mode of the bulk scalar dual to the quenched operator. For slow quenches, the system relaxes with a (nearly) adiabatic response that is governed entirely by the late time profile of the mass. We describe new renormalization scheme ambiguities in defining gauge invariant observables for the theory with time dependant couplings.