Inhomogeneous condensation in effective models for QCD using the finite-mode approach

Abstract

We use a numerical method, the finite-mode approach, to study inhomogeneous condensation in effective models for QCD in a general framework. Former limitations of considering a specific ansatz for the spatial dependence of the condensate are overcome. Different error sources are analyzed and strategies to minimize or eliminate them are outlined. The analytically known results for $1+1$ dimensional models (such as the Gross-Neveu model and extensions of it) are correctly reproduced using the finite-mode approach. Moreover, the NJL model in $3+1$ dimensions is investigated and its phase diagram is determined with particular focus on the inhomogeneous phase at high density.

20 pages, 9 figures. To appear in Phys. Rev. D

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Cited by in corpus (28)

• Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors
• Supercool exit: Gravitational waves from QCD-triggered conformal symmetry breaking
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• 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
• Regulator dependence of inhomogeneous phases in the 2+1-dimensional Gross-Neveu model
• Inhomogeneous chiral condensate in the quark-meson model
• Inhomogeneous chiral condensates in three-flavor quark matter
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• Phase structure of the 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Inhomogeneous phases in the chirally imbalanced $2+1$-dimensional Gross-Neveu model and their absence in the continuum limit
• Lefschetz thimbles in fermionic effective models with repulsive vector-field
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model
• Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Consistent regularization and renormalization in models with inhomogeneous phases
• Magnetic-Field Induced Critical Endpoint
• First-order phase boundaries of the massive 1+1 dimensional Nambu--Jona-Lasinio model with isospin
• Non-Abelian twisted kinks in chiral Gross-Neveu model with isospin
• Neutron stars in the large-$N_c$ limit
• Dual chiral density wave induced oscillating Casimir effect
• Tricritical curve of massive chiral Gross-Neveu model with isospin
• Exact tricritical point from next-to-leading-order stability analysis
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation