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A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

凝聚态物理 · 物理学 2009-10-28 P. J. H. Denteneer

The Extended Fermi-Hubbard model is a rather studied Hamiltonian due to both its many applications and a rich phase diagram. Here we prove that all the phase transitions encoded in its one dimensional version are detectable via non-local…

量子气体 · 物理学 2017-12-13 L. Barbiero , S. Fazzini , A. Montorsi

We present selected results obtained by RQCD from simulations of $N_f=2+1$ flavours of non-perturbatively $\mathcal{O}(a)$ improved Wilson fermions, employing open boundary conditions in time. The ensembles were created within the CLS…

We report our recent studies on the finite density QCD obtained from lattice QCD simulation with clover-improved Wilson fermions of two flavor and RG-improved gauge action. We approach the subject from two paths, i.e., the imaginary and…

高能物理 - 格点 · 物理学 2011-09-05 Atsushi Nakamura , Keitaro Nagata , Shinji Motoki , Yoshiyuki Nakagawa , Takuya Saito

Motivated by a similar approach for Born-Oppenheimer molecular dynamics, this paper proposes an extended "shadow" Lagrangian density for quantum states of superfluids. The extended Lagrangian contains an additional field variable that is…

数值分析 · 数学 2021-01-13 Patrick Henning , Anders M. N. Niklasson

The QCD-motivated constituent string model is extended to consider the baryon. The system of three quarks propagating in the confining background field is studied in the Wilson loop approach, and the effective action is obtained. The…

高能物理 - 唯象学 · 物理学 2014-11-17 Yu. S. Kalashnikova , A. V. Nefediev

In this paper we calculate the pressure of pure lattice Yang-Mills theories and lattice QCD with heavy quarks by means of strong coupling expansions. Dynamical fermions are introduced with a hopping parameter expansion, which also allows…

高能物理 - 格点 · 物理学 2014-11-20 Jens Langelage , Owe Philipsen

We simulate lattice QCD at finite quark-number chemical potential, $\mu$, using the complex-Langevin equation (CLE) with gauge-cooling and adaptive updating to prevent instabilities. The CLE is used because QCD at finite $\mu$ has a complex…

高能物理 - 格点 · 物理学 2018-10-30 D. K. Sinclair , J. B. Kogut

We propose a sampling method based on an ensemble approximation of second order Langevin dynamics. The log target density is appended with a quadratic term in an auxiliary momentum variable and damped-driven Hamiltonian dynamics introduced;…

动力系统 · 数学 2025-06-06 Ziming Liu , Andrew M. Stuart , Yixuan Wang

We propose and test a new approach to computation of canonical partition functions in lattice QCD at finite density. We suggest a few steps procedure. We first compute numerically the quark number density for imaginary chemical potential…

高能物理 - 格点 · 物理学 2017-05-24 V. G. Bornyakov , D. L. Boyda , V. A. Goy , A. V. Molochkov , Atsushi Nakamura , A. A. Nikolaev , V. I. Zakharov

At sufficiently high temperature and density, quantum chromodynamics (QCD) predicts phase transition from the hadronic phase to the quark-gluon plasma phase. Lattice QCD is the most useful tool to investigate this critical phenomenon, which…

高能物理 - 唯象学 · 物理学 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

The Taylor expansion of thermodynamic observables at a finite baryon chemical potential $\mu_B$ is an oft-used method to circumvent the well-known sign problem of Lattice QCD. Owing to the associated difficulty and limitations of precision…

高能物理 - 唯象学 · 物理学 2023-02-14 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

In this work we investigate $q{\bar q}$ spectra and wavefunctions of light front transverse lattice Hamiltonians that result from different methods of formulating fermions on the transverse lattice. We adopt the one link approximation for…

高能物理 - 唯象学 · 物理学 2009-11-10 Dipankar Chakrabarti , A. Harindranath , James P. Vary

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

We aim to bridge the gap between quantum coherence, quantum correlations, and nonequilibrium quantum transport in a quantum double-dot (QDD) system interacting with fermionic reservoirs. The system-reservoir coupling is modeled using a…

量子物理 · 物理学 2025-02-18 Saikumar Krithivasan , Thingujam Yaiphalemba Meitei , Arijit Sen , Md Manirul Ali

Stochastic thermostats based on the Langevin equation, in which a system is coupled to an external heat bath, are popular methods for temperature control in molecular dynamics simulations due to their ergodicity and their ease of…

化学物理 · 物理学 2018-05-23 Mahdi Hijazi , David M. Wilkins , Michele Ceriotti

We carry out a finite density calculation based on a canonical approach which is designed to address the overlap problem. Two degenerate flavor simulations are performed using Wilson gauge action and Wilson fermions on $4^4$ lattices, at…

高能物理 - 格点 · 物理学 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

The study of QCD phase diagram is very interesting, but we have never understood it well. This is because we face a problem at finite density in QCD. The problem is called sign problem. It causes a decrease of the calculation accuracy. This…

高能物理 - 格点 · 物理学 2018-02-15 Shotaro Oka

We introduce a new procedure to select the optimal cutoff parameter for Fourier density estimators that leads to adaptive rate optimal estimators, up to a logarithmic factor. This adaptive procedure applies for different inverse problems.…

统计理论 · 数学 2018-02-15 Céline Duval , Johanna Kappus

The use of known analytic results for the continuum fermion determinants in QCD and QED as benchmarks for zero lattice spacing extrapolations of lattice fermion determinants is proposed. Specifically, they can be used as a check on the…

高能物理 - 格点 · 物理学 2009-11-10 M. P. Fry