Path Integral based Non-equilibrium Quantum Field Theory of Non-relativistic Pairs inside an Environment

Tobias Binder
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Abstract

We derive differential equations from path integral based non-equilibrium quantum field theory, that cover the dynamics and spectrum of non-relativistic two-body fields for any environment. For concreteness of the two-body fields, we choose the full potential non-relativistic Quantum Electrodynamics Lagrangian in this work. After closing the correlation function hierarchy of these differential equations and performing consistency checks with previous literature under certain limits, we demonstrate the range of physics applications. This includes Cosmology such as Dark Matter in the primordial plasma, Quarkonia Physics inside a quark-gluon plasma, and Condensed and strongly Correlated Matter Physics such as Bose-Einstein condensation or Superconductivity. Since we always had to take limits or approximations of our equations in order to recover those known cases, our equations could contain new phenomena. In particular they are based on non-equilibrium Green's function that can deal with non-hermite potentials as well as dynamical formation of different extreme phases. We propose a scheme for other Lagrangian based theories or higher N-body states such as molecules to derive analogous equations.
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基于路径积分的环境中非相对论对的非平衡量子场论
我们从基于路径积分的非平衡量子场论中导出微分方程,涵盖了任何环境下非相对论性两体场的动力学和谱。对于两体场的具体性,我们选择了全势非相对论量子电动力学拉格朗日量。在关闭这些微分方程的相关函数层次并在一定限制下与以前的文献进行一致性检查后,我们展示了物理应用的范围。这包括宇宙学,如原始等离子体中的暗物质,夸克-胶子等离子体中的夸克物理学,以及凝聚态和强相关物质物理学,如玻色-爱因斯坦凝聚或超导。因为我们总是需要取方程的极限或近似值来恢复那些已知的情况,我们的方程可能包含新的现象。特别是它们基于非平衡格林函数,可以处理非埃尔米特势和不同极端相的动态形成。我们提出了其他基于拉格朗日理论或高n体状态(如分子)的导出类似方程的方案。
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Beyond Lorentzian symmetry Path Integral based Non-equilibrium Quantum Field Theory of Non-relativistic Pairs inside an Environment On-shell physics of black holes Capacity of entanglement in random pure state. Thermodynamics of Ideal Gas at Planck Scale with Strong Quantum Gravity Measurement
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