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The theory of the strong interactions, Quantum Chromodynamics (QCD), has been addressed by a variety of non-perturbative techniques over the decades since its introduction. We have investigated Hamiltonian formulations with different…

High Energy Physics - Theory · Physics 2007-05-23 J. P. Vary , T. J. Fields J. R. Spence , H. W. L. Naus , H. J. Pirner , K. S. Gupta

The interface effects of quark matter play important roles in the properties of compact stars and small nuggets such as strangelets and $ud$QM nuggets. By introducing a density derivative term to the Lagrangian density and adopting…

High Energy Physics - Phenomenology · Physics 2022-08-30 Cheng-Jun Xia , Jian-Feng Xu , Guang-Xiong Peng , Ren-Xin Xu

We review the Nambu-Jona-Lasinio (NJL) approach to the dynamical breaking of chiral symmetry in Quantum Chromodynamics (QCD). The subjects treated in Part I include the vacuum structure of QCD, mass spectra and coupling constants of…

High Energy Physics - Phenomenology · Physics 2010-11-01 T. Hatsuda , T. Kunihiro

The relativistic chiral SU(3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , E. E. Kolomeitsev

Quantum Chromodynamics (QCD) is the fundamental theory for the interaction between quarks and gluons. It manifests as the short-range strong interaction inside the nucleus, and plays an important role in the evolution of the early universe,…

High Energy Physics - Lattice · Physics 2013-08-14 Ting-Wai Chiu

It is shown that intermittency, a self-similar correlation with respect to the size of the phase space volume, is sensitive to critical density fluctuations of baryon numbers in a system belonging to the three-dimensional (3D) Ising…

Nuclear Theory · Physics 2020-01-06 Jin Wu , Yufu Lin , Yuanfang Wu , Zhiming Li

Starting with the usual definitions of octonions, an attempt has been made to establish the relations between octonion basis elements and Gell-Mann \lambda matrices of SU(3)symmetry on comparing the multiplication tables for Gell-Mann…

General Physics · Physics 2015-06-04 B. C. Chanyal , P. S. Bisht , Tianjun Li , O. P. S. Negi

QCD, the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation theory. This includes…

High Energy Physics - Phenomenology · Physics 2021-09-01 Michael Creutz

Recently, we have pointed out that sign-coherent 4-dimensional structures can not dominate topological charge fluctuations in QCD vacuum at all scales. Here we show that an enhanced lower-dimensional coherence is possible. In pure SU(3)…

High Energy Physics - Lattice · Physics 2017-08-23 I. Horvath , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , F. X. Lee , H. B. Thacker , J. B. Zhang

In these lectures we discuss the uses of effective field theory in studying dense hadronic matter. We focus on two regimes in the phase diagram. At low baryon density nucleons can be described as non-relativistic point particles interacting…

Nuclear Theory · Physics 2015-06-26 Thomas Schaefer

Lattice quantum chromodynamics is used to constrain the interactions of two octet baryons at the SU(3) flavor-symmetric point, with quark masses that are heavier than those in nature (equal to that of the physical strange quark mass and…

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

Current heavy-ion collision experiments might lead to the discovery of a first-order chiral symmetry breaking phase-transition line, ending in a second-order critical point. Nevertheless, the extraction of information about the equilibrium…

High Energy Physics - Phenomenology · Physics 2017-12-14 Eduardo S. Fraga , Maurício Hippert

The study explores perpendicular transport through macroscopically inhomogeneous three-dimensional disordered conductors using mesoscopic methods (real-space Green function technique in a two-probe measuring geometry). The nanoscale samples…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Branislav K. Nikolic

Quantum Chromodynamics (QCD) is the fundamental theory of strong interactions. It describes the behavior of quarks and gluons which are the smallest known constituents of nuclear matter. The difficulties in solving the theory at low…

High Energy Physics - Phenomenology · Physics 2009-12-22 Theodor Brasoveanu , Dmitri Kharzeev , Mauricio Martinez

We summarize our recent results for the (T,mu)-phase diagram of N_f=3 QCD. Finding a strong variation of the critical endpoint mu_c with the quark mass m, we point out that an endpoint within reach of experiment requires fine-tuned quark…

High Energy Physics - Lattice · Physics 2017-08-23 O. Philipsen , Ph. de Forcrand

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

This review deals with the structure of hadrons, strongly interacting many-body systems consisting of quarks and gluons. These systems have a size of about 1 fm, which shows up in scattering experiments at low momentum transfers $Q$ in the…

High Energy Physics - Phenomenology · Physics 2009-09-29 Dieter Drechsel , Thomas Walcher

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

A number of proposed extensions of the Standard Model include new strongly interacting dynamics, in the form of SU(N) gauge fields coupled to various numbers of fermions. Often, these extensions allow N = 3 as a plausible choice, or even…

High Energy Physics - Phenomenology · Physics 2025-10-09 Thomas DeGrand , Ethan T. Neil