论文标题
耗散系统的野外理论具有宽大的动量状态
Field Theory of Dissipative Systems with Gapped Momentum States
论文作者
论文摘要
我们基于波谱中的有限波传播范围和相关的间隙动量状态来开发具有耗散的场理论。我们分析了Lagrangian和Hamiltonian的性质，其中有两个标量字段不同表示，并展示了两场Lagrangian的新属性与Keldysh-Schwinger形式主义有关。所提出的理论是非热者，我们讨论了与$ \ Mathcal {pt} $对称性有关的属性。计算出的相关函数显示与动量状态相关的腐烂振荡行为。我们使用路径积分证实了这一结果。由于耗散，相互作用电位变短。最后，我们观察到提出的田间理论代表了与谐波范式的背离，并讨论了我们理论对拉格朗日水力动力学表述的含义。
We develop a field theory with dissipation based on a finite range of wave propagation and associated gapped momentum states in the wave spectrum. We analyze the properties of the Lagrangian and the Hamiltonian with two scalar fields in different representations and show how the new properties of the two-field Lagrangian are related to Keldysh-Schwinger formalism. The proposed theory is non-Hermitian, and we discuss its properties related to $\mathcal{PT}$ symmetry. The calculated correlation functions show a decaying oscillatory behavior related to gapped momentum states. We corroborate this result using path integration. The interaction potential becomes short-ranged due to dissipation. Finally, we observe that the proposed field theory represents a departure from the harmonic paradigm and discuss the implications of our theory for the Lagrangian formulation of hydrodynamics.
