论文标题
相互作用的玻色气的有限温度描述
Finite Temperature Description of an Interacting Bose Gas
论文作者
论文摘要
我们使用相对论量子场理论得出了与接触相互作用的BOSE气体状态方程。该计算说明了最高1循环顺序的热和量子校正。我们在Hartree-fock-Bogoliubov近似中工作，并遵循Yukalov引入两个化学势的处方，一个用于冷凝阶段，另一个用于激发阶段，以绕过众所周知的Hohenberg-Martin困境。作为对形式主义的检查，我们采取非相关主义极限并繁殖已知的非依赖性结果。最后，我们将结果转化为有限温度超级流体的流体动力学两流体模型。我们的结果与Bose-Einstein凝结物和超流晶候选物的现象学以及中子恒星中夸克物质的颜色风味锁定阶段有关。
We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory. The calculation accounts for both thermal and quantum corrections up to 1-loop order. We work in the Hartree-Fock-Bogoliubov approximation and follow Yukalov's prescription of introducing two chemical potentials, one for the condensed phase and another one for the excited phase, to circumvent the well-known Hohenberg-Martin dilemma. As a check on the formalism, we take the non-relativistic limit and reproduce known non-relativistic results. Finally, we translate our results to the hydrodynamical, two-fluid model for finite-temperature superfluids. Our results are relevant for the phenomenology of Bose-Einstein Condensate and superfluid dark matter candidates, as well as the color-flavor locking phase of quark matter in neutron stars.
