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首页> 外文期刊>Physical Review, A >Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation
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Off-equilibrium infrared structure of self-interacting scalar fields: Universal scaling, vortex-antivortex superfluid dynamics, and Bose-Einstein condensation

机译:自相互作用标量的偏离均衡结构:通用缩放,涡旋 - 抗激动超流动力学,以及Bose-Einstein冷凝

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摘要

We map the infrared dynamics of a relativistic single-component (N = 1) interacting scalar field theory to that of nonrelativistic complex scalar fields. The Gross-Pitaevskii (GP) equation, describing the real-time dynamics of single-component ultracold Bose gases, is obtained at first nontrivial order in an expansion proportional to the powers of λΦ~2/m~2 where λ, Φ, and m are the coupling constant, the scalar field, and the particle mass respectively. Our analytical studies are corroborated by numerical simulations of the spatial and momentum structure of overoccupied scalar fields in (2+1)-dimensions.Universal scaling of infrared modes, vortex-antivortex superfluid dynamics, and the off-equilibrium formation of a Bose-Einstein condensate are observed. Our results for the universal scaling exponents are in agreement with those extracted in the numerical simulations of the GP equation. As in these simulations, we observe coarsening phase kinetics in the Bose superfluid with strongly anomalous scaling exponents relative to that of vertex resummed kinetic theory. Our relativistic field theory framework further allows one to study more closely the coupling between superfluid and normal fluid modes, specifically the turbulent momentum and spatial structure of the coupling between a quasiparticle cascade to the infrared and an energy cascade to the ultraviolet. We outline possible applications of the formalism to the dynamics of vortex-antivortex formation and to the off-equilibrium dynamics of the strongly interacting matter formed in heavy-ion collisions.
机译:我们将相对论单组分(n = 1)的红外动态映射相互作用的标量字段理论与非素描复数标量字段的字段。在第一种非动力顺序中以与λ,φ和λ和λ和的功率成比例的扩展以比例的膨胀比例的膨胀,获得了单组分超级瓶气体的实时动态的GITOEVSKII(GP)方程。 m分别是耦合常数,标量场和粒子质量。我们的分析研究是通过(2 + 1) - 二审面的超交换标量场的空间和动量结构的数值模拟来证实。单一的红外模式,Vortex-AntiVortex Superfluid Dynamics和Bose-Einstein的离平衡形成观察到缩合物。我们的通用扩展指数的结果与在GP方程的数值模拟中提取的那些方案一致。如在这些模拟中,我们观察粗糙的超流体中的粗化相位动力学,相对于顶点的强烈缩放指数相对于顶点的动力学理论。我们的相对论领域理论框架进一步允许人们更仔细地研究超流和常规流体模式之间的耦合,特别是湍流动量和Quasiparticle级联与红外线​​和能量级联到紫外线之间的耦合的耦合的空间结构。我们概述了形式主义的可能应用于涡旋 - 反射率形成的动态,以及在重离子碰撞中形成的强相互作用物质的偏离平衡动力学。

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