Mass terms in effective theories of high density quark matter

Mass terms in effective theories of high density quark matter
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高密度夸克物质有效理论中的质量项

DOI:
10.1103/physrevd.65.074006
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发表时间:
2001
期刊:
影响因子:
5
通讯作者:
T. Schaefer
T. Schaefer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Schaefer

文献摘要

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研究了高重子密度QCD中准粒子有效理论中质量项的结构。在$1/p_F$展开式中,我们发现了两类质量项:手性守恒的双费米子算符和手性违反四费米子算符的质量项。在色味锁定相Goldstone模的有效手征理论中,前者对应于有效化学势,而后者导致Lorentz不变质量项。我们计算了在CFL相中Goldstone玻色子的质量,证实了Son和Stephanov以及Bedaque和Sch‘afer的早期结果.我们发现,在耦合常数g中的前序对Goldstone模的质量没有反粒子能隙贡献,并且我们的结果与规范的选择无关.
We study the structure of mass terms in the effective theory for quasi-particles in QCD at high baryon density. To next-to-leading order in the $1/p_F$ expansion we find two types of mass terms, chirality conserving two-fermion operators and chirality violating four-fermion operators. In the effective chiral theory for Goldstone modes in the color-flavor-locked (CFL) phase the former terms correspond to effective chemical potentials, while the latter lead to Lorentz invariant mass terms. We compute the masses of Goldstone bosons in the CFL phase, confirming earlier results by Son and Stephanov as well as Bedaque and Sch\"afer. We show that to leading order in the coupling constant $g$ there is no anti-particle gap contribution to the mass of Goldstone modes, and that our results are independent of the choice of gauge.