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We present a precise lattice QCD calculation of the contribution to the neutron-proton mass splitting arising from strong isospin breaking, $m_n-m_p|_{QCD}=2.32\pm0.17$ MeV. We also determine $m_{\Xi^-} - m_{\Xi^0}|_{QCD} = 5.44\pm0.31$…

We construct the QCD equation of state at finite chemical potentials including net baryon, electric charge, and strangeness based on the results of lattice QCD simulations and the hadron resonance gas model. The situation of strangeness…

Nuclear Theory · Physics 2021-02-03 Akihiko Monnai , Björn Schenke , Chun Shen

We present a new method to evaluate with high precision the isospin breaking effects due to the mass difference between the up and down quarks using lattice QCD. Our proposal is applicable in principle to any hadronic observable which can…

The strong coupling limit (beta_gauge = 0) of QCD offers a number of remarkable research possibilities, of course at the price of large lattice artifacts. Here, we determine the complete phase diagram as a function of temperature T and…

High Energy Physics - Lattice · Physics 2010-11-05 Michael Fromm , Philippe de Forcrand

We simulate lattice QCD at non--zero baryon density and zero temperature in the quenched approximation, both in the scaling region and in the infinite coupling limit. We investigate the nature of the forbidden region -- the range of…

High Energy Physics - Lattice · Physics 2008-12-18 M. -P. Lombardo , J. B. Kogut , D. K. Sinclair

QCD at non-zero chemical potential ($\mu$) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm…

High Energy Physics - Lattice · Physics 2015-10-22 D. K. Sinclair , J. B. Kogut

Fluctuations of conserved charges are sensitive to the QCD phase transition and a possible critical endpoint in the phase diagram at finite density. In this work, we compute the baryon number fluctuations up to tenth order at finite…

High Energy Physics - Phenomenology · Physics 2022-03-01 Wei-jie Fu , Xiaofeng Luo , Jan M. Pawlowski , Fabian Rennecke , Rui Wen , Shi Yin

At high baryon chemical potential $\mu_B$, the equation of state of QCD allows a weak-coupling expansion in the QCD coupling $\alpha_s$. The result is currently known up to and including the full next-to-next-to-leading order (NNLO)…

High Energy Physics - Phenomenology · Physics 2024-04-22 Tyler Gorda , Aleksi Kurkela , Paul Romatschke , Saga Säppi , Aleksi Vuorinen

We use a hadron resonance gas model to study the QCD phase diagram at nonzero temperature, baryon, isospin and strangeness chemical potentials. We determine the temperature of the transition from the hadronic phase to the quark gluon plasma…

High Energy Physics - Phenomenology · Physics 2010-04-05 D. Toublan , John B. Kogut

I present our recent results on the critical end point in the \mu_B-T phase diagram of QCD with two flavours of light dynamical quarks and compare them with similar results from other groups. Implications for a possible energy scan at the…

High Energy Physics - Phenomenology · Physics 2015-06-25 Rajiv V. Gavai

We study the coupled pion-nucleon system (negative parity, isospin 1/2) based on a lattice QCD simulation for nf=2 mass degenerate light quarks. Both, standard 3-quarks baryon operators as well as meson-baryon (4+1)-quark operators are…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , V. Verduci

The first-principle approach to the dense state of QCD matter, i.e. the lattice-QCD simulation at finite baryon density, is not under theoretical control for the moment. The effective model study based on QCD symmetries is a practical…

High Energy Physics - Phenomenology · Physics 2015-05-19 Kenji Fukushima

QCD with a finite baryon chemical potential, despite its importance, is not well understood because the standard lattice QCD simulation is not applicable due to the sign problem. Although QCD-like theories which do not suffer from the sign…

High Energy Physics - Lattice · Physics 2012-09-26 Masanori Hanada

As part of an ongoing effort to characterize the high temperature phase of QCD, in a numerical simulation using the staggered fermion scheme, we measure the quark baryon density in the vicinity of a fixed test quark at high temperature and…

High Energy Physics - Lattice · Physics 2008-11-26 Claude Bernard , Thomas A. DeGrand , Carleton DeTar , Steven Gottlieb , Alex Krasnitz , Robert L. Sugar , Douglas Toussaint

The Global Colour Model(GCM) of QCD is used to extract low energy quark-gluon processes from experimental data. The resultant effective quark-quark coupling correlator is compared with that of Jain and Munczek, and with the combined lattice…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reginald T. Cahill , Susan M. Gunner

We derive a new Banks-Casher-type relation which relates the density of complex Dirac eigenvalues at the origin to the BCS gap of quarks at high density. Our relation is applicable to QCD and QCD-like theories without a sign problem, such…

High Energy Physics - Lattice · Physics 2013-07-18 Takuya Kanazawa , Tilo Wettig , Naoki Yamamoto

A recently proposed phenomenological model, which includes nonperturbative effects from dimension two gluon condensates, is applied to analyze the available lattice data for the heavy quark free energy in the deconfined phase of quenched…

High Energy Physics - Phenomenology · Physics 2025-01-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

In these lectures we provide an introduction to the theory of QCD at very high baryon density. We begin with a review of some aspects of quantum many-body system that are relevant in the QCD context. We also provide a brief review of QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Schaefer

We confront our quasi-particle model for the equation of state of strongly interacting matter with recent first-principle QCD calculations. In particular, we test its applicability at finite baryon densities by comparing with Taylor…

High Energy Physics - Phenomenology · Physics 2011-09-13 Marcus Bluhm , Burkhard Kampfer , Robert Schulze , Daniel Seipt

One of the most challenging issues in particle physics is to study QCD in extreme conditions. Precise determination of the QCD phase diagram on temperature $T$ and chemical potential $\mu$ plane will provide valuable information for…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo , He-Sheng Chen