Revisiting the spatially inhomogeneous condensates in the $(1 + 1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit

التفاصيل البيبلوغرافية
العنوان: Revisiting the spatially inhomogeneous condensates in the $(1 + 1)$-dimensional chiral Gross-Neveu model via the bosonic two-point function in the infinite-$N$ limit
المؤلفون: Koenigstein, Adrian, Winstel, Marc
المصدر: J. Phys. A: Math. Theor. 57 335401 (2024)
سنة النشر: 2024
المجموعة: Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
مصطلحات موضوعية: High Energy Physics - Theory, Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Phenomenology
الوصف: This work shows that the known phase boundary between the phase with chiral symmetry and the phase of spatially inhomogeneous chiral symmetry breaking in the phase diagram of the $(1 + 1)$-dimensional chiral Gross-Neveu model can be detected from the bosonic two-point function alone and thereby confirms and extends previous results arXiv:hep-th/0008175, arXiv:0807.2571, arXiv:0909.3714, arXiv:1810.03921, arXiv:2203.08503. The analysis is referred to as the stability analysis of the symmetric phase and does not require knowledge about spatial modulations of condensates. We perform this analysis in the infinite-$N$ limit at nonzero temperature and nonzero quark and chiral chemical potentials also inside the inhomogeneous phase. Thereby we observe an interesting relation between the bosonic $1$-particle irreducible two-point vertex function of the chiral Gross-Neveu model and the spinodal line of the Gross-Neveu model.
Comment: 14 pages, 2 figures, V2: corrected typos; updated some references
نوع الوثيقة: Working Paper
DOI: 10.1088/1751-8121/ad6721
URL الوصول: http://arxiv.org/abs/2405.03459
رقم الأكسشن: edsarx.2405.03459
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/1751-8121/ad6721