تقرير
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
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 |
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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 |
DOI: | 10.1088/1751-8121/ad6721 |
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