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Previously published lattice results for QCD at $\mu_B\neq0$ are compared to analytic predictions for phase quenched QCD. We observe that the strength of the sign problem in QCD is linked directly to the position of the phase transition…

High Energy Physics - Lattice · Physics 2007-05-23 K. Splittorff

Complex Langevin simulations have been able to successfully reproduce results from Monte Carlo methods in the region where the sign problem is mild and make predictions when it is exponentially hard. We present here our study of the QCD…

High Energy Physics - Lattice · Physics 2016-10-25 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Dénes Sexty

We consider the difficulties of finite density QCD from the canonical formalism. We present results for small baryon numbers, where the sign problem can be controlled, in particular by supplementing the mu=0 sampling with imaginary mu…

High Energy Physics - Lattice · Physics 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

Simulations of QCD with a finite chemical potential typically lead to a severe sign problem, prohibiting any standard Monte Carlo approach. Complex Langevin simulations provide an alternative to sample path integrals with oscillating weight…

High Energy Physics - Lattice · Physics 2014-11-12 Gert Aarts , Felipe Attanasio , Benjamin Jäger , Erhard Seiler , Denes Sexty , Ion-Olimpiu Stamatescu

We study the QCD phase diagram using the linear sigma model coupled to quarks. We compute the effective potential at finite temperature and quark chemical potential up to ring diagrams contribution. We show that, provided the values for the…

High Energy Physics - Phenomenology · Physics 2018-03-14 Alejandro Ayala , Jorge David Castaño-Yepes , José Antonio Flores , Saúl Hernández , Luis Hernández

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

High Energy Physics - Lattice · Physics 2019-10-28 D. K. Sinclair , J. B. Kogut

The canonical approach, which was developed for solving the sign problem, may suffer from a new type of sign problem. In the canonical approach, the grand partition function is written as a fugacity expansion: $Z_G(\mu,T) = \sum_n Z_C(n,T)…

High Energy Physics - Lattice · Physics 2017-05-09 V. A. Goy , V. Bornyakov , D. Boyda , A. Molochkov , A. Nakamura , A. Nikolaev , V. Zakharov

QCD critical point is a landmark region in the QCD phase diagram outlined by temperature as a function of baryon chemical potential. To the right of this second-order phase transition point, one expects first order quark-hadron phase…

Nuclear Experiment · Physics 2022-05-25 A. Pandav , D. Mallick , B. Mohanty

The fermion-sign problem at finite density is a persisting challenge for Monte-Carlo simulations. Theories that do not have a sign problem can provide valuable guidance and insight for physically more relevant ones that do. Replacing the…

High Energy Physics - Lattice · Physics 2013-01-10 Axel Maas , Lorenz von Smekal , Björn Wellegehausen , Andreas Wipf

We present an analytical description of the phase transitions from a nucleon gas to nuclear matter and from nuclear matter to quark matter within the same model. The equation of state for quark and nuclear matter is encoded in the effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Berges , D. -U. Jungnickel , C. Wetterich

We determine the quark-hadron transition line in the whole region of temperature (T) and baryon-number chemical potential (\mu_B) from lattice QCD results and neutron-star mass measurements, making the quark-hadron hybrid model that is…

High Energy Physics - Phenomenology · Physics 2013-07-29 Takahiro Sasaki , Nobutoshi Yasutake , Michio Kohno , Hiroaki Kouno , Masanobu Yahiro

We compare different models for hadronic and quark phases of cold baryon-rich matter in an attempt to find a deconfinement phase transition between them. For the hadronic phase we consider Walecka-type mean-field models which describe well…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

State-of-the-art lattice QCD studies of hot and dense strongly interacting matter currently rely on extrapolation from zero or imaginary chemical potentials. The ill-posedness of numerical analytic continuation puts severe limitations on…

High Energy Physics - Lattice · Physics 2022-04-06 Szabolcs Borsanyi , Zoltan Fodor , Matteo Giordano , Sandor D. Katz , Daniel Nogradi , Attila Pasztor , Chik Him Wong

We derive dual representations for O(N) and CP(N-1) models on the lattice. In terms of the dual variables the partition sums have only real and positive contributions also at finite chemical potential. Thus the complex action problem of the…

High Energy Physics - Lattice · Physics 2015-10-22 Falk Bruckmann , Christof Gattringer , Thomas Kloiber , Tin Sulejmanpasic

Quantum Monte Carlo simulations provide one of the more powerful and versatile numerical approaches to condensed matter systems. However, their application to frustrated quantum spin models, in all relevant temperature regimes, is hamstrung…

Strongly Correlated Electrons · Physics 2017-07-20 Stefan Wessel , B. Normand , Frédéric Mila , Andreas Honecker

I review the presence of the sign problem in lattice QCD at nonzero baryon density and its relation with the overlap and Silver Blaze problems. I then discuss progress in some cases where the sign problem can be handled, either because the…

High Energy Physics - Lattice · Physics 2013-03-05 Gert Aarts

The nuclear force acting between protons and neutrons is studied in the Monte Carlo simulations of the fundamental theory of the strong interaction, the quantum chromodynamics defined on the hypercubic space-time lattice. After a brief…

High Energy Physics - Phenomenology · Physics 2009-07-09 S. Aoki , T. Hatsuda , N. Ishii

We determine the continuum limit of the curvature of the pseudocritical line of QCD with $n_f$=2+1 staggered fermions at nonzero temperature and quark density. We perform Monte Carlo simulations at imaginary baryon chemical potentials,…

High Energy Physics - Lattice · Physics 2016-01-27 Paolo Cea , Leonardo Cosmai , Alessandro Papa

We study single-particle potential of Lambda, Sigma, and Xi hyperons in nucleonic matter starting from the fundamental theory of the strong interaction, QCD. First we carry out a lattice QCD numerical simulation, and extract baryon-baryon…

High Energy Physics - Lattice · Physics 2019-09-04 Takashi Inoue

We perform calculations of the dependence of nuclear magnetic moments on quark masses and obtain limits on the variation of m_q/Lambda_{QCD} from recent atomic clock experiments with hyperfine transitions in H, Rb, Cs, Hg+ and optical…

Atomic Physics · Physics 2007-05-23 V. V. Flambaum
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