论文标题

巨大的1+1尺寸nambu的一阶相边界与jona-lasinio模型与isospin

First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin

论文作者

Thies, Michael

论文摘要

具有Isospin(Isonjl)的大型二维Nambu-Jona-Lasinio模型被重新考虑在大的$ N_C $限制中。我们通过构建缺失的一阶相边界来继续探索其相图。在零温度下,巴里昂和同种化学电位的平面中的相边界将真空与晶相分开。我们从ISONJL模型的重子频谱中得出它,该模型又是通过数值Hartree-fock(HF)计算获得的。在有限温度下,使用热HF计算发现一阶相边界表。它在零温度相边界和扰动板之间平稳地插值。由于假设带电的Pion冷凝物消失的假设,该计算仍然可以拖动。在这种情况下,大多数计算都可以通过过去开发的方法来解决大规模的单质NJL模型。

The massive two-dimensional Nambu--Jona-Lasinio model with isospin (isoNJL) is reconsidered in the large $N_c$ limit. We continue the exploration of its phase diagram by constructing missing first-order phase boundaries. At zero temperature, a phase boundary in the plane of baryon and isospin chemical potentials separates the vacuum from a crystal phase. We derive it from the baryon spectrum of the isoNJL model which, in turn, is obtained via a numerical Hartree-Fock (HF) calculation. At finite temperature, a first-order phase boundary sheet is found using a thermal HF calculation. It interpolates smoothly between the zero temperature phase boundary and the perturbative sheet. The calculations remain tractable owing to the assumption that the charged pion condensate vanishes. In that case, most of the calculations can be done with methods developed in the past for solving the massive one-flavor NJL model.

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