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A new framework is introduced to connect between a charge symmetry breaking (CSB) energy density functional (EDF) and the low-energy constants derived from quantum chromodynamics (QCD). By constructing a QCD-based CSB EDF, this method…

Nuclear Theory · Physics 2025-04-15 Hiroyuki Sagawa , Tomoya Naito , Xavier Roca-Maza , Tetsuo Hatsuda

We unify two widely different approaches to understanding the infrared behaviour of quantum chromodynamics (QCD), one essentially phenomenological, based on data, and the other computational, realised via quantum field equations in the…

Quantum Chromodynamics is the most successful theory in particle physics. The understanding of all different signals at hadron colliders have been achieved due to the correct interpretation of the theory. In this paper we review some basic…

High Energy Physics - Phenomenology · Physics 2014-10-27 R. J. Hernández-Pinto

A brane configuration is described that is relevant to understanding the dynamics of N=1 supersymmetric Yang-Mills theory. Confinement and spontaneous breaking of a discrete chiral symmetry can be understood as consequences of the topology…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We attempt to describe the interplay of confinement and chiral symmetry breaking in QCD by using the string model. We argue that in the quasi-abelian picture of confinement based on the condensation of magnetic monopoles and the dual…

High Energy Physics - Phenomenology · Physics 2015-06-19 Dmitri E. Kharzeev , Frasher Loshaj

We address the question whether features known from quantum chromodynamics (QCD) can possibly also show up in solid-state physics. It is shown that spinless fermions of charge $e$ on a checkerboard lattice with nearest-neighbor repulsion…

Strongly Correlated Electrons · Physics 2007-05-23 F. Pollmann , P. Fulde

The thermoelectric properties of a semiconduct quantum dot chain (SQDC) connected to metallic electrodes are theoretically investigated in the Coulomb blockade regime. An extended Hubbard model is employed to simulate the SQDC system…

Mesoscale and Nanoscale Physics · Physics 2013-01-11 David M. -T. Kuo , Yia-Chung Chang

Quantum chromodynamics is the quantum gauge field theory that describes the strong interactions. This article reviews the basic structure, successes and challenges of quantum chromodynamics as it manifests itself at short and long…

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

Skyrme theories on S^3 and S^2, are analyzed using the generalized zero curvature in any dimensions. In the first case, new symmetries and integrable sectors, including the B =1 skyrmions, are unraveled. In S^2 the relation to QCD suggested…

High Energy Physics - Theory · Physics 2007-05-23 Joaquin Sanchez-Guillen , L. A. Ferreira

In this paper we consider the matching coefficients up to two loops between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) for the vector, axial-vector, scalar and pseudo-scalar currents. The structure of the effective theory…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. A. Kniehl , A. Onishchenko , J. H. Piclum , M. Steinhauser

The low energy excitation spectrum of the critical Wilson surface is discussed between the roughening transition and the continuum limit of lattice QCD. The fine structure of the spectrum is interpreted within the framework of…

High Energy Physics - Lattice · Physics 2009-11-07 K. J. Juge , J. Kuti , C. J. Morningstar

We consider the quantum chromodynamics (QCD) Kondo effect for a single heavy quark in quark matter composed of light quarks with chiral symmetry breaking. Introducing several spinor structures in QCD Kondo condensates, i.e.,…

High Energy Physics - Phenomenology · Physics 2024-05-24 Shigehiro Yasui , Daiki Suenaga , Kei Suzuki

Chern-Simons theory in the 1/N expansion has been conjectured to be equivalent to a topological string theory. This conjecture predicts a remarkable relationship between knot invariants and Gromov-Witten theory. We review some basic aspects…

High Energy Physics - Theory · Physics 2010-04-12 Marcos Marino

We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a simple knot on S^3 (for any representation)…

High Energy Physics - Theory · Physics 2009-09-17 Hirosi Ooguri , Cumrun Vafa

Low-energy limit of quantum chromodynamics (QCD) is obtained using a mapping theorem recently proved. This theorem states that, classically, solutions of a massless quartic scalar field theory are approximate solutions of Yang-Mills…

High Energy Physics - Phenomenology · Physics 2010-12-23 Marco Frasca

The primary objects of study in the ``knot theory of complex plane curves'' are C-links: links (or knots) cut out of a 3-sphere in the complex plane by complex plane transverse and totally tangential. Transverse C-links are naturally…

Geometric Topology · Mathematics 2007-05-23 Lee Rudolph

The hypothesis that the electron neutrino is a tachyon with |m|=sqrt(-m^2) = 0.5 eV/c^2 is consistent with certain properties of the cosmic ray spectrum, including: the existence of a change in power law (the "knee") at E = 10^15 eV, the…

Astrophysics · Physics 2009-10-30 R. Ehrlich

We present lattice Monte Carlo results on the chromoelectric field created by a static quark-antiquark pair in the vacuum of QCD with 2+1 dynamical staggered fermions at physical masses. After isolating the nonperturbative, confining part…

High Energy Physics - Lattice · Physics 2024-10-01 M. Baker , P. Cea , V. Chelnokov , L. Cosmai , A. Papa

Despite quantum chromodynamics (QCD) being established as the theory of the strong interaction and its many successes since then, significant challenges in our understanding of hadron physics remain. The lack of a full understanding for how…

High Energy Physics - Lattice · Physics 2024-02-09 Andrew D. Hanlon

Given a knot $K$ parametrized by $r: [0,2\pi] \to \mathbb{R}^3$, we can define the electric potential on its complement by $\Phi(x) = \int_0^{2\pi} \frac{|r'(t)|}{|x - r(t)|}dt$. Physicists and knot theorists want to understand the critical…

Dynamical Systems · Mathematics 2021-04-02 Max Lipton