Confinement of quarks

By Gerard 't Hooft. 2003

1,641 citations recorded by the source corpus.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/710881c8d08d6c9950924fc8d03b56fa47df3527

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In Nuclear and High Energy Physics

Citations in the corpus

STUDIES OF NUCLEON RESONANCE STRUCTURE IN EXCLUSIVE MESON ELECTROPRODUCTION (2012, background): “[255] Lattice numerical results follow from computation of frame-dependent moments of distributions in Euclidean space and dynamical observables in Minkowski space-time, such as the time-like hadronic form factors, are not amenable to Euclidean lattice computations.”
Sourcebook of parallel computing (2003, background): “To allow for a numerical attack, one first discretizes space-time into a regular 4-D grid, called a lattice [997], with lattice spacing a.”
Nonstandard heavy mesons and baryons: Experimental evidence (2017, background): “A major conceptual breakthrough occurred in 1974 when Wilson proposed (159) that long-distance QCD could be digitized by transcribing the relevant integrals to a lattice”
Search for the QCD critical point with fluctuations of conserved quantities in relativistic heavy-ion collisions at RHIC: an overview (2017, positive): “Lattice QCD is a well-established non-perturbative approach to solve the QCD theory of quarks and gluons exactly from first principles and without any assumptions [51].”
Review of lattice results concerning low-energy particle physics (2016, methodology): “The Wilson–Dirac operator for the massless case reads [664,670]”
Flavor Physics in the Quark Sector (2009, background): “The idea goes back to Heisenberg, but for QCD and other gauge theories, the key came when Wilson showed how to incorporate local gauge invariance with the lattice [54].”
Lattice Perturbation Theory (2002, background): “One of the most popular lattice formulations of QCD is the one invented by Wilson (1974; 1977), which was also the first formulation ever for a lattice gauge theory.”
Locality and exponential error reduction in numerical lattice gauge theory (2001, methodology): “a pair of static colour charges separated by a distance r [9].”
Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, background): “At zero temperature, the extension of the Wilson lines in the imaginary time direction τ can be taken to infinity; this limit yields Wilson’s definition of the heavy quark potential [225].”
Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration (2004, background): “Progress in understanding QCD in the extremely non-perturbative domain near the critical temperature has relied on an essential contribution by Creutz [8], who showed that numerical implementations of Wilson’s lattice formulation [9] could be used to study phase transition phenomena.”
Integrable Wilson loops (2012, background): “Among their many features, they capture the potential between heavy probe particles, hence can serve as an order parameter for confinement [1].”
Wormholes, emergent gauge fields, and the weak gravity conjecture (2015, positive): “To make the physics more clear, I have included a bare Maxwell term − 1 4q2 0 ∫ F 2 (or more precisely its lattice analogue, the sum over all single-plaquette Wilson loops [53]), and shown the phase diagram as a function of both 1 g2 and 1 q2 0 .”
Quantum Metropolis sampling (2009, background): “Gauge theories The current most common non-perturbative approach to QCD is Wilson’s lattice gauge theory [22], which maps the problem to one of statistical mechanics, where the Euclidean action now assumes the role of a classical Hamilton function.”
Electric-Magnetic Duality And The Geometric Langlands Program (2006, background): “used to distinguish various massive phases of the gauge theory [9].”
Polyakov loop modeling for hot QCD (2017, methodology): “To realize the area law, the QCD vacuum should accommodate highly disturbed gauge configurations; such an extremal case is approached in the limit of strong gauge coupling, as was first elucidated by Wilson [2].”
Heavy-quark QCD exotica (2016, neutral): “(called a lattice in the community) [90].”
Review of lattice results concerning low-energy particle physics (2010, methodology): “The Wilson-Dirac operator for the massless case reads [296] Dw = 1 2 γμ(∇μ +∇μ) + a∇μ∇μ, (88)”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “Wilson’s [1] or Cornwall’s [2] works, or the very recent introduction to the confinement problem in ref.”