Confinement models at finite temperature and density

Lo, Pok Man; Swanson, Eric S.

doi:10.1103/physrevd.81.034030

Cited by 14 publications

(28 citation statements)

References 47 publications

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“…While the order of the chiral phase transition is the same in both the canonical and the present approach to finite temperatures, the critical temperature T * can ≈ 64 MeV found 11 in the numerical calculations of ref. [13] for vanishing chemical potential µ = 0 is significantly smaller than our result. There are several possible reasons for this discrepancy: On the one hand, the evaluation of the partition function [see eq.…”

Section: B Resultscontrasting

confidence: 87%

“…refs. [12,13]. The introduction of a flavor-dependent variational kernel might become necessary as soon as finite current quark masses and unquenching effects are incorporated into the model.…”

Section: B Resultsmentioning

confidence: 99%

“…Furthermore, it also allows for comparison between the compactified theory and the usual grand canonical approach to finite temperatures in Hamiltonian QCD considered in refs. [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…[9,[19][20][21] at zero temperature and in refs. [10][11][12][13]22] in the usual canonical approach to finite temperatures and densities. For explicit calculations, it is convenient to switch to the momentum space representation using…”

Section: Introductionmentioning

confidence: 99%

“…Note that we adjusted the result from ref [13]. to the value of the Coulomb string tension used in the present paper 12.…”

mentioning

confidence: 99%

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Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge

et al. 2018

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The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperature T is introduced by compactifying one spatial dimension, which makes all thermodynamical quantities accessible from the ground state on the spatial manifold R 2 × S 1 ð1=TÞ. Neglecting the coupling between quarks and transversal gluons, the equations of motion of the quark sector are solved numerically and the chiral quark condensate is evaluated and compared to the results of the usual canonical approach to finite-temperature Hamiltonian QCD based on the density operator of the grand canonical ensemble. For zero bare quark masses, we find a second-order chiral phase transition with a critical temperature of about 92 MeV. If the Coulomb string tension is adjusted to reproduce the phenomenological value of the quark condensate, the critical temperature increases to 118 MeV.

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Section: B Resultscontrasting

confidence: 87%

Section: B Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Note that we adjusted the result from ref [13]. to the value of the Coulomb string tension used in the present paper 12.…”

mentioning

confidence: 99%

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Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge

et al. 2018

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Variational method using basis functions

Werneth

Dhar

Maung

et al. 2010

J. Phys. A: Math. Theor.

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The Gaussian, exponential and Laguerre basis functions are examined in a variational calculation of energies and wavefunctions. The Laguerre basis set is already orthonormal and complete, but the Gaussian and exponential basis sets are not orthonormal. We used the linear and Coulomb potentials to test these basis functions. Calculations are performed in both position and momentum space. We also present the results with relativistic kinematics in the momentum space calculation. The Gram-Schmidt procedure is used to orthonormalize the Gaussian and exponential basis sets before using them in the calculations. We show that in the case of a pure linear potential, the orthonormal basis constructed from the Gaussian functions performs much better than the exponential and Laguerre basis for the same number of orthogonal functions. For Coulomb-like potentials, the exponential basis performs better than the other two for the same number of basis functions. The advantage of using these simple basis functions is that for the potentials that we examined, one can approach the lower bound of the low-lying states with very few basis functions.

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D¯Ninteraction in a color-confining chiral quark model

Fontoura¹,

Krein²,

Vizcarra³

2013

Phys. Rev. C

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We investigate the low-energy elasticDN interaction using a quark model that confines color and realizes dynamical chiral symmetry breaking. The model is defined by a microscopic Hamiltonian inspired in the QCD Hamiltonian in Coulomb gauge. Constituent quark masses are obtained by solving a gap equation, and baryon and meson bound-state wave functions are obtained using a variational method. We derive a low-energy meson-nucleon potential from a quark-interchange mechanism whose ingredients are the quark-quark and quarkantiquark interactions and baryon and meson wave functions, all derived from the same microscopic Hamiltonian.

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Confinement models at finite temperature and density

Cited by 14 publications

References 47 publications

Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge

Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge

Variational method using basis functions

D¯Ninteraction in a color-confining chiral quark model

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