EQUATION OF STATE OF STRONGLY COUPLED HAMILTONIAN LATTICE QCD AT FINITE DENSITY

We calculate the equation of state of strongly coupled Hamiltonian lattice QCD at finite density by constructing a solution to the equation of motion corresponding to an effective Hamiltonian describing the ground state of the theory with Wilson fermions. To lowest order in N c we find that the pressure of the quark Fermi sea can be negative indicating its mechanical instability. This new mean field result is in qualitative agreement with continuum models and should be verifiable by future numerical simulations.

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Hamiltonian lattice QCD at finite density: Equation of state in the strong coupling limit

Physical Review D ◽

10.1103/physrevd.66.074501 ◽

2002 ◽

Vol 66 (7) ◽

Cited By ~ 8

Author(s):

Yasuo Umino

Keyword(s):

Equation Of State ◽

Lattice Qcd ◽

Strong Coupling ◽

Strong Coupling Limit ◽

Finite Density ◽

Hamiltonian Lattice ◽

Density Equation

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HAMILTONIAN LATTICE QCD WITH WILSON FERMIONS AT STRONG COUPLING

International Journal of Modern Physics A ◽

10.1142/s0217751x01005419 ◽

2001 ◽

Vol 16 (27) ◽

pp. 4499-4510 ◽

Cited By ~ 6

Author(s):

YI-ZHONG FANG ◽

XIANG-QIAN LUO

Keyword(s):

Lattice Qcd ◽

Strong Coupling ◽

Unitary Transformation ◽

Vacuum Energy ◽

Strong Coupling Expansion ◽

Transformation Method ◽

Chiral Condensate ◽

Effective Hamiltonian ◽

Hamiltonian Lattice ◽

Wilson Fermions

Hamiltonian lattice QCD with Wilson fermions is investigated systematically by strong-coupling expansion up to the second order. The effective Hamiltonian is diagonalized by Bogoliubov transformation. The vacuum energy, chiral condensate, pseudoscalar and vector meson masses are calculated. The comparison with the unitary transformation method by Luo and Chen is also made. The method discussed in this paper has potential application to QCD at finite density.

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Classical Kinetic Theory

10.1093/oso/9780198797241.003.0003 ◽

2018 ◽

Author(s):

Klaus Morawetz

Keyword(s):

Kinetic Equation ◽

Equation Of State ◽

Mean Field ◽

Ideal Gas ◽

Hydrodynamic Equations ◽

Free Particles ◽

Internal Mechanism ◽

The Mean ◽

Energy Gains ◽

Non Locality

The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

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Isospin-1/2 Dπ scattering and the lightest $$ {D}_0^{\ast } $$ resonance from lattice QCD

Journal of High Energy Physics ◽

10.1007/jhep07(2021)123 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Luke Gayer ◽

Nicolas Lang ◽

Sinéad M. Ryan ◽

David Tims ◽

Christopher E. Thomas ◽

...

Keyword(s):

Scattering Amplitudes ◽

Lattice Qcd ◽

Quark Mass ◽

Light Quark ◽

Energy Levels ◽

Experimental Result ◽

Infinite Volume ◽

Resonance Pole ◽

Strongly Coupled ◽

Light Quark Mass

Abstract Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.

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Persistence of the spectral gap for the Landau–Pekar equations

Letters in Mathematical Physics ◽

10.1007/s11005-020-01350-5 ◽

2021 ◽

Vol 111 (1) ◽

Author(s):

Dario Feliciangeli ◽

Simone Rademacher ◽

Robert Seiringer

Keyword(s):

Initial Data ◽

Spectral Gap ◽

Effective Hamiltonian ◽

Adiabatic Theorem ◽

Strongly Coupled

AbstractThe Landau–Pekar equations describe the dynamics of a strongly coupled polaron. Here, we provide a class of initial data for which the associated effective Hamiltonian has a uniform spectral gap for all times. For such initial data, this allows us to extend the results on the adiabatic theorem for the Landau–Pekar equations and their derivation from the Fröhlich model obtained in previous works to larger times.

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