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Due to the sign problem, it is exponentially difficult to study QCD on the lattice at finite chemical potential. We propose a method --an overlap improving multi-parameter reweighting technique-- to alleviate this problem. We apply this…

High Energy Physics - Lattice · Physics 2009-07-09 Z. Fodor , S. D. Katz

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

We study the QCD phase structure at high temperature and density adopting a histogram method. Because the quark determinant is complex at finite density, the Monte-Carlo method cannot be applied directly. We use a reweighting method and try…

High Energy Physics - Lattice · Physics 2017-11-22 Shinji Ejiri , Sinya Aoki , Tetsuo Hatsuda , Kazuyuki Kanaya , Yoshiyuki Nakagawa , Hiroshi Ohno , Hana Saito , Takashi Umeda

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

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

The effective field theory of large-scale structure allows for a consistent perturbative bias expansion of the rest-frame galaxy density field. In this work, we present a systematic approach to renormalize galaxy bias and stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-11 Henrique Rubira , Fabian Schmidt

Imposing twisted boundary conditions on the fermionic fields is a procedure extensively used when evaluating, for example, form factors on the lattice. Twisting is usually performed for one flavour and only in the valence, and this causes a…

High Energy Physics - Lattice · Physics 2016-09-09 Andrea Bussone , Michele Della Morte , Martin Hansen , Claudio Pica

We combine histogram reweighting techniques with the two-lattice matching Monte Carlo renormalization group method to conduct computationally efficient calculations of critical exponents on systems with moderately small lattice sizes. The…

High Energy Physics - Lattice · Physics 2024-01-23 Dimitrios Bachtis

A procedure based on a Mixture Density Model for correcting experimental data for distortions due to finite resolution and limited detector acceptance is presented. Addressing the case that the solution is known to be non-negative, in the…

Data Analysis, Statistics and Probability · Physics 2015-03-09 Nikolai Gagunashvili

Recent progress in extending finite temperature lattice QCD simulations from the $T$ axis into the finite density plane is reviewed. The covered topics are a calculation of the transition line by multidimensional reweighting, screening mass…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. Philipsen

Long-range interactions in finite density QCD necessitate a non-perturbative approach in order to reliably map out the key features and spectrum of the QCD phase diagram. However, the complex nature of the fermion determinant in this sector…

High Energy Physics - Lattice · Physics 2008-11-26 A. Dougall

The lattice QCD simulation with the lattice chiral symmetry is very attractive, however, it is difficult to maintain the symmetry at a modest numerical computation cost. A candidate to reduce the computational cost during the configuration…

High Energy Physics - Lattice · Physics 2013-10-31 Ken-Ichi Ishikawa

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…

High Energy Physics - Phenomenology · Physics 2017-08-23 Xiang-Qian Luo , Eric B. Gregory , Shuo-Hong Guo , Helmut Kroger

A new weak Galerkin (WG) finite element method for solving the second-order elliptic problems on polygonal meshes by using polynomials of boundary continuity is introduced and analyzed. The WG method is utilizing weak functions and their…

Numerical Analysis · Mathematics 2015-09-30 Qilong Zhai , Xiu Ye , Ruishu Wang , Ran Zhang

A discussion of the overlap problem of reweighting approaches to evaluating critical phenomenon in fermionic systems is motivated by highlighting the divergence of the joint probability density function of a general ratio. By identifying…

High Energy Physics - Lattice · Physics 2017-08-23 P. R. Crompton

In this talk, I describe some recent ideas relating to the spectral reconstruction inverse problem, which arises frequently in lattice QCD calculations of inclusive hadronic quantities, and provide some physical context for this work.…

High Energy Physics - Lattice · Physics 2025-01-22 William Jay

One strategy for reducing the sign problem in finite-density field theories is to deform the path integral contour from real to complex fields. If the deformed manifold is the appropriate combination of Lefschetz thimbles -- or somewhat…

High Energy Physics - Lattice · Physics 2018-09-12 Andrei Alexandru , Gokce Basar , Paulo F. Bedaque , Henry Lamm , Scott Lawrence

Work on generalizing the deflated, restarted GMRES algorithm, useful in lattice studies using stochastic noise methods, is reported. We first show how the multi-mass extension of deflated GMRES can be implemented. We then give a deflated…

High Energy Physics - Lattice · Physics 2009-11-10 Dean Darnell , Ronald B. Morgan , Walter Wilcox

Some recent developments to handle the numerical sign problem in QCD and related theories at nonzero density are reviewed. In this contribution I focus on changing the integration order to soften the severity of the sign problem, the…

High Energy Physics - Lattice · Physics 2015-02-13 Gert Aarts

Finite-density calculations in lattice field theory are typically plagued by sign problems. A promising way to ameliorate this issue is the holomorphic flow equations that deform the manifold of integration for the path integral to…

High Energy Physics - Lattice · Physics 2018-10-22 Henry Lamm

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…

High Energy Physics - Lattice · Physics 2018-02-15 Shotaro Oka