么正极限下超冷费米气体的精确重整化群流
Exact renormalisation group flow for ultracold Fermi gases in unitary limit
摘要：
本文研究了超冷费米气体在幺正态下的精确重整化群流。我们引入一个对场来描述库珀对的形成，并对有效作用量作了简单的分析。推导出包含玻色子和费米子涨落的有效耦合的近似流动方程组。在运行标度的某个值处，系统经历到带隙相的相变。计算了相互作用费米气体和非相互作用费米气体的能量密度、化学势、配对能隙和相应的比例常数。如果我们忽略玻色子环，标准的平均场结果可以恢复。
英文摘要：
We study the exact renormalisation group flow for ultracold Fermi-gases in unitary regime. We introduce a pairing field to describe the formation of the Cooper pairs, and take a simple ansatz for the effective action. Set of approximate flow equations for the effective couplings including boson and fermionic fluctuations is derived. At some value of the running scale, the system undergoes a phase transition to a gapped phase. The values of the energy density, chemical potential, pairing gap and the corresponding proportionality constants relating the interacting and non-interacting Fermi gases are calculated. Standard mean field results are recovered if we omit the boson loops.
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