scholarly journals PERSISTENT CHALLENGES OF QUANTUM CHROMODYNAMICS

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5695-5719 ◽  
Author(s):  
M. SHIFMAN

Unlike some models whose relevance to Nature is still a big question mark, Quantum Chromodynamics (QCD) will stay with us forever. QCD, born in 1973, is a very rich theory supposed to describe the widest range of strong interaction phenomena: from nuclear physics to Regge behavior at large E, from color confinement to quark–gluon matter at high densities/temperatures (neutron stars); the vast horizons of the hadronic world: chiral dynamics, glueballs, exotics, light and heavy quarkonia and mixtures thereof, exclusive and inclusive phenomena, interplay between strong forces and weak interactions, etc. Efforts aimed at solving the underlying theory, QCD, continue. In a remarkable entanglement, theoretical constructions of the 1970's and 1990's combine with today's ideas based on holographic description and strong–weak coupling duality, to provide new insights and a deeper understanding.

2005 ◽  
Author(s):  
B. Mueller ◽  
S.A. Bass ◽  
S. Chandrasekharan ◽  
T. Mehen ◽  
R.P. Springer

1995 ◽  
Vol 10 (22) ◽  
pp. 3155-3167 ◽  
Author(s):  
KAZUHIKO NISHIJIMA

It is shown that color confinement is a consequence of BRS invariance and asymptotic freedom of quantum chromodynamics. BRS invariance is exploited to define color confinement, and asymptotic freedom is utilized to prove it. The proof presented in this paper is an extension of the one in the preceding paper.


1994 ◽  
Vol 09 (21) ◽  
pp. 3799-3819 ◽  
Author(s):  
KAZUHIKO NISHIJIMA

It is proved without recourse to any approximation that quarks and gluons are confined simultaneously when the anomalous dimension of the gluon field is negative in the weak coupling limit. The proof is based on the BRS invariance of quantum chromodynamics and the Oehme–Zimmermann superconvergence relation for the spectral function of the gluon field.


2008 ◽  
Vol 22 (25n26) ◽  
pp. 4538-4544
Author(s):  
A. S. B. TARIQ

It has been a natural desire for a long time to be able to describe nuclear physics in terms of the fundamental strong interaction. Recently some significant progress has been made in this area in terms of lattice QCD calculations of simple nuclear physics processes such as nucleon nucleon scattering. An attempt is made to introduce the progress made in this area, to an audience composed mainly of many-body theorists (non-lattice QCD and even non-particle/nuclear physics) interested in inter-disciplinary approaches.


1998 ◽  
Vol 12 (12n13) ◽  
pp. 1355-1364 ◽  
Author(s):  
K. Nishijima

It is shown that color confinement is an inevitable consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom of quantum chromodynamics.


2020 ◽  
pp. 1-5
Author(s):  
V G Plekhanov ◽  

The non - accelerator observation of the long - range strong nuclear interaction is presented. We have studied the low - temperature spectra (reflection and luminescence) of the LiH (without strong interaction in hydrogen nucleus) and LiD (with strong interaction in deuterium nucleus) crystals which are different by term of one neutron from each other. The experimental observation of isotopic shift (103 meV) of the phononless free excitons emission line in LiD crystals is a direct manifestation of the long - range strong nuclear interaction. Such conclusion is made to the fact that the gravitation, electromagnetic and weak interactions are the same in both kind crystals, it only emerges the strong interaction in deuterium nucleus. As far as Born - Oppenheimer approximation does not work in isotope effect, we tentative connect our experimental observation with long - range hadron - lepton interaction. Most important study of the LiHx D1-x mixed crystals is the first measurement of the long - range force dependence of strong nuclear interaction on the distance between nucleons in deuterium nucleus


2020 ◽  
pp. 137-262
Author(s):  
Hartmut Wittig

AbstractSince Wilson’s seminal papers of the mid-1970s, the lattice approach to Quantum Chromodynamics has become increasingly important for the study of the strong interaction at low energies, and has now turned into a mature and established technique. In spite of the fact that the lattice formulation of Quantum Field Theory has been applied to virtually all fundamental interactions, it is appropriate to discuss this topic in a chapter devoted to QCD, since by far the largest part of activity is focused on the strong interaction. Lattice QCD is, in fact, the only known method which allows ab initio investigations of hadronic properties, starting from the QCD Lagrangian formulated in terms of quarks and gluons.


Nature ◽  
2020 ◽  
Vol 588 (7837) ◽  
pp. 232-238
Author(s):  

AbstractOne of the key challenges for nuclear physics today is to understand from first principles the effective interaction between hadrons with different quark content. First successes have been achieved using techniques that solve the dynamics of quarks and gluons on discrete space-time lattices1,2. Experimentally, the dynamics of the strong interaction have been studied by scattering hadrons off each other. Such scattering experiments are difficult or impossible for unstable hadrons3–6 and so high-quality measurements exist only for hadrons containing up and down quarks7. Here we demonstrate that measuring correlations in the momentum space between hadron pairs8–12 produced in ultrarelativistic proton–proton collisions at the CERN Large Hadron Collider (LHC) provides a precise method with which to obtain the missing information on the interaction dynamics between any pair of unstable hadrons. Specifically, we discuss the case of the interaction of baryons containing strange quarks (hyperons). We demonstrate how, using precision measurements of proton–omega baryon correlations, the effect of the strong interaction for this hadron–hadron pair can be studied with precision similar to, and compared with, predictions from lattice calculations13,14. The large number of hyperons identified in proton–proton collisions at the LHC, together with accurate modelling15 of the small (approximately one femtometre) inter-particle distance and exact predictions for the correlation functions, enables a detailed determination of the short-range part of the nucleon-hyperon interaction.


Author(s):  
Michael E. Peskin

This chapter introduces non-Abelian gauge symmetry and the associated field equations for spin-1 particles. It proposes the gauge theory Quantum Chromodynamics as the theory of the strong interaction. It describes the property of asymptotic freedom, which explains a number of mysteries in the experimental results shown in the previous three chapters.


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