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Related papers: A practical solution to the sign problem at finite…

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We present a subset method which solves the sign problem for QCD at nonzero quark chemical potential in 0+1 dimensions. The subsets gather gauge configurations based on the center symmetry of the SU(3) group. We show that the sign problem…

High Energy Physics - Lattice · Physics 2013-10-25 Jacques Bloch , Falk Bruckmann , Tilo Wettig

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

The numerical and computational aspects of the overlap formalism in lattice quantum chromodynamics are extremely demanding due to a matrix-vector product that involves the sign function of the hermitian Wilson matrix. In this paper we…

High Energy Physics - Lattice · Physics 2009-11-07 J. van den Eshof , A. Frommer , Th. Lippert , K. Schilling , H. A. van der Vorst

The path optimization has been proposed to weaken the sign problem which appears in some field theories such as finite density QCD. In this method, we optimize the integration path in complex plain to enhance the average phase factor. In…

High Energy Physics - Lattice · Physics 2019-12-30 Yuto Mori , Kouji Kashiwa , Akira Ohnishi

Many research programs aiming to deal with the sign problem were proposed since the advent of lattice field theory. Several of these try to achieve this by exploiting properties of analytic functions. This is also the case for our study.…

High Energy Physics - Lattice · Physics 2018-11-07 Błażej Ruba , Jacek Wosiek

The complex Langevin method has been attracting much attention as a solution to the sign problem since the method was shown to work in finite density QCD in the deconfined phase by using the so-called gauge cooling procedure. Whether it…

High Energy Physics - Lattice · Physics 2015-11-30 Keitaro Nagata , Jun Nishimura , Shinji Shimasaki

A simplified test of universality in Lattice QCD is performed by analytically evaluating the continuous Euclidean time limits of various lattice fermion determinants, both with and without a Wilson term to lift the fermion doubling on the…

High Energy Physics - Lattice · Physics 2009-11-10 David H. Adams

We present lattice simulations on the phase diagram of Quantum Chromodynamics (QCD) with two light quark flavours at finite chemical potential $\mu$. To circumvent the sign problem we use the complex Langevin method. In this study, we have…

High Energy Physics - Lattice · Physics 2022-03-25 Felipe Attanasio , Benjamin Jäger , Felix P. G. Ziegler

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…

High Energy Physics - Phenomenology · Physics 2023-02-14 Sabarnya Mitra , Prasad Hegde , Christian Schmidt

The reweighting method developed in Glasgow to circumvent the lattice action becoming complex at finite density suffers from a pathological onset transition thought to be due to the reweighting. We present a new reweighting scheme based on…

High Energy Physics - Lattice · Physics 2008-11-26 P. R. Crompton

We report on new data from additional zero temperature simulations of QCD with 12 flavors. This is a continuation of previous studies using the DBW2 gauge action and naive staggered fermions. With the use of the force gradient integrator…

High Energy Physics - Lattice · Physics 2012-03-28 Xiao-Yong Jin , Robert D. Mawhinney

We study three possible ways to circumvent the sign problem in the O(3) nonlinear sigma model in 1+1 dimensions. We compare the results of the worm algorithm to complex Langevin and multiparameter reweighting. Using the worm algorithm, the…

High Energy Physics - Lattice · Physics 2017-03-22 Sandor D. Katz , Ferenc Niedermayer , Daniel Nogradi , Csaba Torok

We discuss recent work trying to extract the renormalised quark masses and Lambda, the QCD scale, from dynamical simulations in lattice gauge theory.

High Energy Physics - Lattice · Physics 2008-11-26 P. E. L. Rakow

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

We study one-dimensional QCD at finite quark density by using the sign optimization framework. The fermion sign problem is mitigated by deforming the path integral domain, $SU(3)$ to a complexified one ${\cal M} \subset SL(3)$, explicitly…

High Energy Physics - Lattice · Physics 2022-11-30 Gokce Basar , Joesph Marincel

Recent studies have claimed that the strong $CP$ problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the lattice. In order to shed light on this issue, we study the…

High Energy Physics - Lattice · Physics 2024-11-27 David Albandea , Guilherme Catumba , Alberto Ramos

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 perform the real-time lattice simulation of an open quantum system, which is based on the Schwinger-Keldysh path integral representation of the Lindblad formalism. Although the real-time simulation generally suffers from the sign…

High Energy Physics - Lattice · Physics 2022-07-26 Tomoya Hayata , Yoshimasa Hidaka , Arata Yamamoto

In an effective Lagrangian approach to QCD we nonperturbatively calculate an analytic approximation to the decay rate of a false vacuum per unit volume, $\Gamma/V$. We do so for both zero and high temperature theories. This result is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Todd Fugleberg

After giving an overview of recently invented methods for simulating lattice QCD at small mu/T, we discuss some results for bulk thermodynamic quantities of QCD matter coming from those methods. We focus on the transition line and the…

High Energy Physics - Lattice · Physics 2017-08-23 C. Schmidt