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This series of three lectures covers (a) a basic introduction to symmetry breaking in general and chiral symmetry breaking in QCD, (b) an overview of the present status of lattice data and the knowlegde that we have at finite temperature…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. P. Klevansky

Thermal QCD equations of state at high baryon density are sensitive to the phase structure and the resulting excitation modes. The leading contribution at low temperature can be either ~p_F^2 T^2 (pF: Fermi momentum, T: temperature) for…

Nuclear Theory · Physics 2018-03-14 Toru Kojo

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

We consider pion condensation in QCD at finite isospin density $\mu_I$ and zero temperature using two-flavor chiral perturbation theory ($\chi$PT). The pressure is calculated to next-to-leading order (NLO) in the low-energy expansion. In…

High Energy Physics - Phenomenology · Physics 2024-02-26 Jens O. Andersen , Qing Yu , Hua Zhou

The main results of our analysis of the two flavor Nambu--Jona-Lasinio model with $SU(2) \times SU(2)$ chiral symmetry on the four--dimensional hypercubic lattice with naive and Wilson fermions are presented. Large $N$ techniques and…

High Energy Physics - Lattice · Physics 2009-10-22 K. M. Bitar , P. Vranas

We study the phase diagram of the strongly interacting matter at finite temperatures and densities including 2SC, uniform chiral and non-uniform chiral phases within the Nambu - Jona-Lasinio model in the mean field approximation.

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Sadzikowski

There are emerging tensions for theory results of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment both within recent lattice QCD calculations and between some lattice QCD calculations and R-ratio results.…

High Energy Physics - Lattice · Physics 2020-04-29 Christoph Lehner , Aaron S. Meyer

Systems of non-zero isospin chemical potential are studied from a canonical approach by computing correlation functions with the quantum numbers of $N \pi^+$'s ($C_{N \pi}$). In order to reduce the number of contractions required in…

High Energy Physics - Lattice · Physics 2015-06-12 Zhifeng Shi

We present results on the equation of state in QCD with two light quark flavors and a heavier strange quark. Calculations with improved staggered fermions have been performed on lattices with temporal extent Nt =4 and 6 on a line of…

I discuss recent developments in finite temperature lattice QCD, including the calculation of the transition temperature, equation of state, color screening and meson spectral functions.

High Energy Physics - Lattice · Physics 2008-11-26 P. Petreczky

Due to the fermion sign problem, standard lattice Monte-Carlo method for QCD fail at small temperatures and high baryon densities. $G_2$-QCD, QCD with the gauge group $SU(3)$ replaced by the exceptional Lie group $G_2$, can be simulated…

High Energy Physics - Lattice · Physics 2013-11-05 Lorenz von Smekal , Bjoern H. Wellegehausen , Axel Maas , Andreas Wipf

The quest to understand three-body dynamics from first-principle QCD includes the study of non-resonant and resonant systems. The isospin $I=2$ system is of particular interest having no three-body resonance but featuring a resonance in a…

High Energy Physics - Lattice · Physics 2026-01-26 Yuchuan Feng , Chris Culver , Michael Döring , Maxim Mai , Andrei Alexandru , Frank X. Lee

We study the phase diagram and the thermodynamic properties of QCD at nonzero isospin asymmetry at physical quark masses with staggered quarks. In particular, continuum results for the phase boundary between the normal and the pion…

High Energy Physics - Lattice · Physics 2018-11-16 Bastian B. Brandt , Gergely Endrodi , Sebastian Schmalzbauer

We discuss a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-11-22 Leonardo Giusti , Davide Laudicina , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Michele Pepe , Pietro Rescigno

Isospin symmetry is explicitly broken in the Standard Model by the non-zero differences of mass and electric charge between the up and down quarks. Both of these corrections are expected to have a comparable size of the order of one percent…

High Energy Physics - Lattice · Physics 2013-09-11 Antonin Portelli

QCD-like theories possess a positively definite fermion determinant at finite baryon chemical potential $\mu_{\text B}$ and the lattice simulation can be successfully performed. While the chiral perturbation theories are sufficient to…

High Energy Physics - Phenomenology · Physics 2010-11-19 Lianyi He

We review recent results on QCD at finite temperature and non-vanishing baryon number density. We focus on observables which are of immediate interest to experimental searches for the Quark Gluon Plasma, i.e. the phase transition…

High Energy Physics - Lattice · Physics 2015-06-25 Frithjof Karsch

A QCD-motivated dynamical-quasiparticle model with parameters adjusted to reproduce the lattice-QCD equation of state is extrapolated from region of high temperatures and moderate baryonic densities to the domain of high baryonic densities…

We review the so called A-scaled Nambu-Jona-Lasinio model both in the vacuum and at finite temperature and density in the case of three flavors. Starting from QCD and integrating out the gluons, we show how to reintroduce some of their…

Nuclear Theory · Physics 2007-05-23 B. Van den Bossche

Lattice QCD allows us to simulate QCD at non-zero temperature and/or densities. Such equilibrium thermodynamics calculations are relevant to the physics of relativistic heavy-ion collisions. I give a brief review of the field with emphasis…

High Energy Physics - Lattice · Physics 2017-08-23 D. K. Sinclair
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