AI 中文总结
研究提出相对论费米子的协变类格罗斯-皮塔耶夫斯基方程，推导其拉格朗日量，用于研究费米液体、超导性及QCD禁闭问题，推导出相关步骤和激发谱，发现夸克场在(3 + 1)时空被禁闭。
AI 中文摘要
本文提出了用于研究相互作用相对论费米子系统的协变类格罗斯-皮塔耶夫斯基方程，推导了产生该方程的拉格朗日量。此方程用于研究费米液体、超导性及QCD中的禁闭问题。在该方程框架下推导了费米液体模型中的米格达尔步骤及超导费米子系统的激发谱，发现支配方程的夸克场在(3 + 1)时空被禁闭。
英文摘要
The covariant Gross-Pitaevskii-like equation for studying systems of interacting relativistic fermions is proposed. The Lagrangian generating such an equation is derived. The considered equation is examined in studying the fermi-liquid, superconductivity and the confinement problem in QCD. The Migdal's step in the fermi-liqiud model, the excitation spectrum of superconductive fermion system are derived in the context of the proposed Gross-Pitaevskii-like equation. We show that the quark fields governing such an equation turn out to be confined in the (3+1) space time.
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