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Inhomogeneous Phase of the Chiral Gross-Neveu Model
Physical Review Letters ( IF 8.6 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.071603 Riccardo Ciccone 1 , Lorenzo Di Pietro 2 , Marco Serone 1
Physical Review Letters ( IF 8.6 ) Pub Date : 2022-08-12 , DOI: 10.1103/physrevlett.129.071603 Riccardo Ciccone 1 , Lorenzo Di Pietro 2 , Marco Serone 1
Affiliation
There is substantial evidence that the ground state of the 2D chiral Gross-Neveu model, in the presence of a fermion number chemical potential and in the large limit, is given by a “chiral spiral” phase, namely an inhomogeneous phase with a chiral condensate having a spatially periodic phase. We show that the chiral spiral configuration persists at finite and for any . Our analysis is based on nonabelian bosonization, that relates the model to a Wess-Zumino-Witten model deformed by current-current interactions. In this description, the appearance of the inhomogeneous phase is surprisingly simple. We also rederive the phase diagram of the large chiral Gross-Neveu model via a direct diagrammatic computation, finding agreement with previous results in the literature.
中文翻译:
手性 Gross-Neveu 模型的非均匀相
有大量证据表明,二维手性 Gross-Neveu 模型的基态在存在费米子数化学势并且在大极限,由“手性螺旋”相给出,即具有空间周期性相的手性凝聚物的不均匀相。我们表明手性螺旋构型持续存在于有限和对于任何. 我们的分析基于非阿贝尔玻色子化,将模型与Wess-Zumino-Witten 模型由电流-电流相互作用变形。在该描述中,非均质相的出现出奇地简单。我们还重新推导出大的相图手性 Gross-Neveu 模型通过直接图解计算,发现与文献中先前的结果一致。
更新日期:2022-08-12
中文翻译:
手性 Gross-Neveu 模型的非均匀相
有大量证据表明,二维手性 Gross-Neveu 模型的基态在存在费米子数化学势并且在大极限,由“手性螺旋”相给出,即具有空间周期性相的手性凝聚物的不均匀相。我们表明手性螺旋构型持续存在于有限和对于任何. 我们的分析基于非阿贝尔玻色子化,将模型与Wess-Zumino-Witten 模型由电流-电流相互作用变形。在该描述中,非均质相的出现出奇地简单。我们还重新推导出大的相图手性 Gross-Neveu 模型通过直接图解计算,发现与文献中先前的结果一致。