Chiral density wave versus pion condensation in the 1+1 dimensional NJL model

Abstract

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional regularization. The phase diagram in the $\mu$--$T$ plane is mapped out. At zero temperature, an inhomogeneous phase with a chiral-density wave exists for all values of $\mu >{\mu }_c$. Performing a Ginzburg-Landau analysis, we show that in the chiral limit, the critical point and the Lifschitz point coincide. We also consider the competition between a chiral-density wave and a constant pion condensate at finite isospin chemical potential ${\mu }_I$. The phase diagram in the ${\mu }_I$--$\mu$ plane is mapped out and shows a rich phase structure.

arXiv comment14 pages and 11 figs

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Cited by in corpus (12)

• Scrutinizing the pion condensed phase
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Chiral imbalanced hot and dense quark matter: NJL analysis at the physical point and comparison with lattice QCD
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Chiral density wave versus pion condensation at finite density
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Low energy physics of interacting bosons with a moat spectrum, and the implications for condensed matter and cold nuclear matter