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We study the effective Hamiltonian for strong-coupling lattice QCD in the case of non-zero baryon density. In leading order the effective Hamiltonian is a generalized antiferromagnet. For naive fermions, the symmetry is U(4N_f) and the…

高能物理 - 格点 · 物理学 2009-11-07 Barak Bringoltz , Benjamin Svetitsky

We investigate the properties of the ground state of strong coupling lattice QCD at finite density. Our starting point is the effective Hamiltonian for color singlet objects, which looks at lowest order as an antiferromagnet, and describes…

高能物理 - 格点 · 物理学 2009-11-10 Barak Bringoltz

We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearest-neighbor fermions and subsequently break the doubling symmetry with next-nearest-neighbor terms. The effective Hamiltonian is that of…

高能物理 - 格点 · 物理学 2009-11-07 B. Bringoltz , B. Svetitsky

We calculate the spectrum of excitations in strong-coupling lattice QCD in a background of fixed baryon density, at a substantial fraction of the saturation density. We employ a next-nearest-neighbor fermion formulation that possesses the…

高能物理 - 格点 · 物理学 2009-11-10 Barak Bringoltz , Benjamin Svetitsky

We compute the low energy mass spectrum of lattice QCD in the large $N_C$ limit. Expanding around a gauge-invariant ground state, which spontaneously breaks the discrete chiral symmetry, we derive an improved strong-coupling expansion and…

高能物理 - 格点 · 物理学 2009-11-10 G. Grignani , D. Marmottini , P. Sodano

The equation of state of Hamiltonian lattice QCD at finite density is examined in the strong coupling limit by constructing a solution to the equation of motion corresponding to an effective Hamiltonian describing the ground state of the…

高能物理 - 唯象学 · 物理学 2009-11-07 Yasuo Umino

We present generalizations of Hamiltonian Lattice QCD as derived from the continuous time limit of strong coupling lattice QCD: we discuss the flavor dependence and the effect of gauge corrections. This formalism can be applied at finite…

高能物理 - 格点 · 物理学 2021-12-23 Pratitee Pattanaik , Wolfgang Unger

We determine the patterns of spontaneous symmetry breaking in strong-coupling lattice QCD in a fixed background baryon density. We employ a next-nearest-neighbor fermion formulation that possesses the SU(N_f)xSU(N_f) chiral symmetry of the…

高能物理 - 格点 · 物理学 2009-11-10 Barak Bringoltz , Benjamin Svetitsky

We study the strong coupling limit of the one-flavor and two-flavor massless 't Hooft models, $large-{\cal N}_c$-color $QCD_2$, on a lattice. We use staggered fermions and the Hamiltonian approach to lattice gauge theories. We show that the…

高能物理 - 格点 · 物理学 2009-10-31 F. Berruto , G. Grignani , P. Sodano

The properties of matter at finite baryon densities play an important role for the astrophysics of compact stars as well as for heavy ion collisions or the description of nuclear matter. Because of the sign problem of the quark determinant,…

高能物理 - 格点 · 物理学 2017-04-05 Owe Philipsen

Understanding the behavior of dense hadronic matter is a central goal in nuclear physics as it governs the nature and dynamics of astrophysical objects such as supernovae and neutron stars. Because of the non-perturbative nature of quantum…

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,…

高能物理 - 格点 · 物理学 2009-11-07 Yi-Zhong Fang , Xiang-Qian Luo

We study the effective action for strong-coupling lattice QCD with one-component staggered fermions in the case of nonzero chemical potential and zero temperature. The structure of this action suggests that at large chemical potentials its…

高能物理 - 格点 · 物理学 2010-02-03 Barak Bringoltz

Lattice QCD with heavy quarks reduces to a three-dimensional effective theory of Polyakov loops, which is amenable to series expansion methods. We analyse the effective theory in the cold and dense regime for a general number of colours,…

高能物理 - 格点 · 物理学 2020-01-08 Owe Philipsen , Jonas Scheunert

We study lattice QCD in the limit of infinite gauge coupling on a discrete spatial yet continuous Euclidean time lattice at finite baryon chemical potential $\mu_B$. The continuous time framework is based on sending $N_\tau\rightarrow…

高能物理 - 格点 · 物理学 2019-12-23 Marc Klegrewe , Wolfgang Unger

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

介观与纳米尺度物理 · 物理学 2009-11-10 M. A. Cazalilla

We investigate high density state of SU(2) QCD by using Lattice QCD simulation with Wilson fermions. The ratio of fermion determinants is evaluated at each step of the Metropol is link update by Woodbury formula. At $\beta=0.7$, and $\kappa…

核理论 · 物理学 2007-05-23 S. Muroya , A. Nakamura , C. Nonaka

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying…

Combining strong coupling and hopping expansion one can derive a dimensionally reduced effective theory of lattice QCD. This theory has a reduced sign problem, is amenable to analytic evaluation and was successfully used to study the cold…

高能物理 - 格点 · 物理学 2019-12-05 Owe Philipsen , Jonas Scheunert

We investigate the chiral soliton lattice (CSL) in the framework of holographic QCD in magnetic field. Under appropriate boundary conditions for the gauge field and the quark mass deformation, we demonstrate that the ground state in the…

高能物理 - 理论 · 物理学 2026-03-02 Markus A. G. Amano , Minoru Eto , Muneto Nitta , Shin Sasaki
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