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arXiv 1206.6785hep-thcond-mat.stat-mech
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N=2* 等离子体中的热猝灭

Thermal quenches in N=2* plasmas

Alex Buchel, Luis Lehner, Robert C. Myers

摘要:

我们利用规范/重力对偶性来研究强耦合N=2* 规范理论的等离子体中的“热猝灭”。具体地说,我们考虑的响应下的玻色子或费米子质量的变化的理论的初始热平衡状态,以m/T<<1的领导秩序。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相反的跃迁。通过构造,这些转变由特征时间尺度\calt控制,并且我们展示了系统的响应如何取决于该时间尺度与热时间尺度1/T的比率。该响应显示了有趣的标度行为,在T \calt &lt; &gt;1的快速猝灭极限下<1 and slow quenches with T \calt >。在T \calt \to \infty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。

英文摘要:

We exploit gauge/gravity duality to study `thermal quenches' in a plasma of the strongly coupled N=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 scale \calt and 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\calt<<1 and slow quenches with T\calt>>1. In the limit that T\calt\to\infty, 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.

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