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We introduce a method that ensures efficient computation of one-dimensional quantum systems with long-range interactions across all temperatures. Our algorithm operates within a quasi-polynomial runtime for inverse temperatures up to…

Quantum Physics · Physics 2025-05-19 Rakesh Achutha , Donghoon Kim , Yusuke Kimura , Tomotaka Kuwahara

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2011-01-28 J. Steinheimer , S. Schramm , H. Stöcker

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

Machine Learning · Statistics 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

Many fascinating systems suffer from a severe (complex action) sign problem preventing us from calculating them with Markov Chain Monte Carlo simulations. One promising method to alleviate the sign problem is the transformation of the…

Strongly Correlated Electrons · Physics 2022-11-18 Marcel Rodekamp , Christoph Gäntgen

By utilizing a soft-hard factorized model, which combines a thermal perturbative description of soft scatterings and a perturbative QCD-based calculation for hard collisions, we study the energy and temperature dependence of the heavy quark…

High Energy Physics - Phenomenology · Physics 2021-06-24 Shuang Li , Fei Sun , Wei Xie , Wei Xiong

Monte Carlo simulation of gauge theories with a $\theta$ term is known to be extremely difficult due to the sign problem. Recently there has been major progress in solving this problem based on the idea of complexifying dynamical variables.…

High Energy Physics - Lattice · Physics 2020-05-08 Mitsuaki Hirasawa , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

We introduce a projected complex Langevin (CL) numerical sampling method -- a fictitious Langevin dynamics scheme that uses numerical projection to sample a constrained stationary distribution with highly oscillatory character. Despite the…

Quantum Gases · Physics 2025-03-04 Ethan C. McGarrigle , Hector D. Ceniceros , Glenn H. Fredrickson

We propose a new method for simulating QCD at finite density. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

In a progress toward searching for the QCD critical point, we study the finite density phase transition of $N_f = 4$ and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method…

High Energy Physics - Lattice · Physics 2010-10-04 Anyi Li , Andrei Alexandru , Keh-Fei Liu , Xiangfei Meng

We use complex Langevin simulations to study the QCD phase diagram with two light quark flavours. In this study, we use Wilson fermions with an intermediate pion mass of $\sim480\,$MeV. By studying thermodynamic quantities, in particular at…

High Energy Physics - Lattice · Physics 2023-01-11 Felipe Attanasio , Benjamin Jäger , Felix P. G. Ziegler

Using a unified hadron-quark effective model for the QCD equation of state, this paper studies the phase structure of strongly interacting matter in a wide range of temperature and baryonchemical potential. At small potentials the model…

High Energy Physics - Phenomenology · Physics 2013-08-22 Philip Rau , Jan Steinheimer , Stefan Schramm

We compare higher moments of baryon numbers measured at the RHIC heavy ion collision experiments with those by the lattice QCD calculations. We employ the canonical approach, in which we can access the real chemical potential regions…

High Energy Physics - Lattice · Physics 2018-11-07 D. Boyda , V. G. Bornyakov , V. Goy , A. Molochkov , A. Nakamura , A. Nikolaev , V. I. Zakharov

We calculate the pressure and density of polarized non-relativistic systems of two-component fermions coupled via a contact interaction at finite temperature. For the unpolarized one-dimensional system with an attractive interaction, we…

Quantum Gases · Physics 2018-04-18 A. C. Loheac , J. Braun , J. E. Drut

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

Numerical simulations of quantum chromodynamics at nonzero temperature provide information from first principles about the physical properties of the quark gluon plasma. Because the lattice approximation can be refined indefinitely, results…

High Energy Physics - Phenomenology · Physics 2016-11-03 Carleton DeTar

In scientific computing, the acceleration of atomistic computer simulations by means of custom hardware is finding ever growing application. A major limitation, however, is that the high efficiency in terms of performance and low power…

Computational Physics · Physics 2020-04-29 Varadarajan Rengaraj , Michael Lass , Christian Plessl , Thomas D. Kühne

We report here on a recent lattice study of the QCD transition region at finite temperature and zero chemical potential using domain wall fermions (DWF). We also present a parameterization of the QCD equation of state obtained from lattice…

Nuclear Theory · Physics 2015-03-17 Michael Cheng

A concise review of the progress of lattice calculations at non-zero density since QM2006 is given, with emphasis on the high baryon density, low temperature domain. Possibilities for exploring densities higher than those studied by…

High Energy Physics - Lattice · Physics 2008-11-26 M. P. Lombardo

This chapter [of a supplement to Prog. Theo. Phys.] reviews numerical simulations of quantum field theories based on stochastic quantization and the Langevin equation. The topics discussed include renormalization of finite step-size…

High Energy Physics - Lattice · Physics 2008-11-26 A. S. Kronfeld

We present a method of simulating lattice QCD at nonzero chemical potential in the chiral limit. By adding a weak four-fermi interaction to the standard staggered fermion SU(3) QCD action, we produce an algorithm in which the limit of…

High Energy Physics - Lattice · Physics 2009-10-28 I. M. Barbour , S. E. Morrison , John B. Kogut
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