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In this letter we give the equation of state of QCD at finite temperatures and densities. The recently proposed overlap improving multi-parameter reweighting technique is used to determine observables at nonvanishing chemical potentials.…

High Energy Physics - Lattice · Physics 2008-11-26 Z. Fodor , S. D. Katz , K. K. Szabo

We introduce a new approach to analyze the phase diagram of QCD at finite chemical potential and temperature, based on the definition of a generalized QCD action. Several details of the method will be discussed, with particular emphasis on…

High Energy Physics - Lattice · Physics 2009-11-10 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

In the Monte Carlo study of QCD at finite baryon density based upon the phase reweighting method, the pion condensation in the phase-quenched theory and associated zero-mode prevent us to go to the low-temperature high-density region. We…

High Energy Physics - Lattice · Physics 2014-10-29 Shinya Aoki , Masanori Hanada , Atsushi Nakamura

We study an effective theory for QCD at finite temperature and density which contains the leading center symmetric and center symmetry breaking terms. The effective theory is studied in a flux representation where the complex phase problem…

High Energy Physics - Lattice · Physics 2011-07-21 Ydalia Delgado Mercado , Hans Gerd Evertz , Christof Gattringer

The density of states method is applied for lattice QCD at a finite isospin density. The advantage of this method is that one can easily obtain results for various values of parameters (quark mass, coupling constant and the number of…

High Energy Physics - Lattice · Physics 2009-11-10 Tetsuya Takaishi

Random matrix theory is a powerful way to describe universal correlations of eigenvalues of complex systems. It also may serve as a schematic model for disorder in quantum systems. In this review, we discuss both types of applications of…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. J. M. Verbaarschot , T. Wettig

At nonzero quark chemical potential dynamical lattice simulations of QCD are hindered by the sign problem caused by the complex fermion determinant. The severity of the sign problem can be assessed by the average phase of the fermion…

High Energy Physics - Lattice · Physics 2011-05-27 Jacques Bloch , Tilo Wettig

We introduce a Generalized Randomized QR-decomposition that may be applied to arbitrary products of matrices and their inverses, without needing to explicitly compute the products or inverses. This factorization is a critical part of a…

Numerical Analysis · Mathematics 2019-09-17 Grey Ballard , James Demmel , Ioana Dumitriu , Alexander Rusciano

We derive a density matrix (DM) theory for quantum cascade lasers (QCLs) that describes the influence of scattering on coherences through a generalized scattering superoperator. The theory enables quantitative modeling of QCLs, including…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 Andrew Pan , Benjamin A. Burnett , Chi On Chui , Benjamin S. Williams

A new method of matrix spectral factorization is proposed which reliably computes an approximate spectral factor of any matrix spectral density that admits spectral factorization

Complex Variables · Mathematics 2009-09-30 Gigla Janashia , Edem Lagvilava , Lasha Ephremidze

Finite density simulations require dynamical fermions which are computationally demanding. We employ Ferrenberg and Swendsen reweighting method to reduce the number of ensembles needed. We use their method to do a combined reweighting in…

High Energy Physics - Lattice · Physics 2009-09-29 Anyi Li , Andrei Alexandru , Keh-Fei Liu

We consider a lattice-inspired random matrix model for the QCD chiral phase transition at finite chemical potential. Useful features of the usual RMM for QCD at finite chemical potential are reobtained, some being brought closer to their…

High Energy Physics - Lattice · Physics 2007-05-23 M. A. Halasz

Distribution estimation for noisy data via density deconvolution is a notoriously difficult problem for typical noise distributions like Gaussian. We develop a density deconvolution estimator based on quadratic programming (QP) that can…

Methodology · Statistics 2018-12-06 Ran Yang , Daniel Apley , Jeremy Staum , David Ruppert

The application of Random Matrix Theory to the Dirac operator of QCD yields predictions for the probability distributions of the lowest eigenvalues. We measured Dirac operator spectra using massless overlap fermions in quenched QCD at…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai

A new method is presented which allows time averaged density matrices of closed quantum systems to be computed via a constraint overlap maximization. Due to its simplicity, this method can be combined with algorithms based on tensor…

Quantum Physics · Physics 2015-03-06 Volckmar Nebendahl

The renormalization factor relating the bare to the renormalization group invariant quark masses is accurately calculated in quenched lattice QCD using a recursive finite-size technique. The result is presented in the form of a product of a…

High Energy Physics - Lattice · Physics 2009-10-31 Stefano Capitani , Martin Lüscher , Rainer Sommer , Hartmut Wittig

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…

High Energy Physics - Lattice · Physics 2016-08-16 Andrei Alexandru , Manfried Faber , Ivan Horváth , Keh-Fei Liu

Matrix completion is one of the key problems in signal processing and machine learning. In recent years, deep-learning-based models have achieved state-of-the-art results in matrix completion. Nevertheless, they suffer from two drawbacks:…

Machine Learning · Computer Science 2018-12-05 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

One way of avoiding the complex action problem in lattice QCD at non-zero density is to simulate QCD-like theories with a real action, such as two-colour QCD. The symmetries of two-colour QCD with quarks in the fundamental and in the…

High Energy Physics - Lattice · Physics 2007-05-23 Jonivar Skullerud

We utilize lattice simulations of the dimensionally reduced effective field theory (EQCD) to determine the quark number susceptibility of QCD at high temperature ($T>2T_c$). We also use analytic continuation to obtain results at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Ari Hietanen , Kari Rummukainen