scholarly journals Medium evolution of a static quark-antiquark pair in the large Nc limit

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Miguel Ángel Escobedo
Keyword(s):  
Static Quark

scholarly journals Determination of α(Mz) from an hyperasymptotic approximation to the energy of a static quark-antiquark pair

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Cesar Ayala ◽  
Xabier Lobregat ◽  
Antonio Pineda
Keyword(s):  
Perturbation Theory ◽  
Energy Range ◽  
Short Distance ◽  
Weak Coupling ◽  
Strong Consistency ◽  
Lattice Data ◽  
Static Potential ◽  
Static Energy ◽  
Static Quark

Abstract We give the hyperasymptotic expansion of the energy of a static quark-antiquark pair with a precision that includes the effects of the subleading renormalon. The terminants associated to the first and second renormalon are incorporated in the analysis when necessary. In particular, we determine the normalization of the leading renormalon of the force and, consequently, of the subleading renormalon of the static potential. We obtain $$ {Z}_3^F $$ Z 3 F (nf = 3) = $$ 2{Z}_3^V $$ 2 Z 3 V (nf = 3) = 0.37(17). The precision we reach in strict perturbation theory is next-to-next-to-next-to-leading logarithmic resummed order both for the static potential and for the force. We find that the resummation of large logarithms and the inclusion of the leading terminants associated to the renormalons are compulsory to get accurate determinations of $$ {\Lambda}_{\overline{\mathrm{MS}}} $$ Λ MS ¯ when fitting to short-distance lattice data of the static energy. We obtain $$ {\Lambda}_{\overline{\mathrm{MS}}}^{\left({n}_f=3\right)} $$ Λ MS ¯ n f = 3 = 338(12) MeV and α(Mz) = 0.1181(9). We have also MS found strong consistency checks that the ultrasoft correction to the static energy can be computed at weak coupling in the energy range we have studied.

scholarly journals Linear confinement and stress-energy tensor around static quark and anti-quark pair -- Lattice simulation with Yang-Mills gradient flow --

2019 ◽  
Author(s):  
Ryosuke Yanagihara ◽  
Takumi Iritani ◽  
Masakiyo Kitazawa ◽  
Masayuki Asakawa ◽  
Tetsuo Hatsuda ◽  
...  
Keyword(s):  
Gradient Flow ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Lattice Simulation ◽  
Yang Mills ◽  
Stress Energy ◽  
Static Quark

scholarly journals IS IT POSSIBLE TO CONSTRUCT THE PROTON STRUCTURE FUNCTION BY LORENTZ-BOOSTING THE STATIC QUARK-MODEL WAVE FUNCTION?

2004 ◽  
Vol 19 (31) ◽  
pp. 5435-5442 ◽  
Author(s):  
Y. S. KIM ◽  
MARILYN E. NOZ
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Structure Function ◽  
Parton Distribution ◽  
Wave Functions ◽  
Proton Structure Function ◽  
Proton Structure ◽  
Static Quark ◽  
Momentum Relation ◽  
Good Agreement

The energy-momentum relations for massive and massless particles are E=p2/2m and E=pc respectively. According to Einstein, these two different expressions come from the same formula [Formula: see text]. Quarks and partons are believed to be the same particles, but they have quite different properties. Are they two different manifestations of the same covariant entity as in the case of Einstein's energy-momentum relation? The answer to this question is YES. It is possible to construct harmonic oscillator wave functions which can be Lorentz-boosted. They describe quarks bound together inside hadrons. When they are boosted to an infinite-momentum frame, these wave functions exhibit all the peculiar properties of Feynman's parton picture. This formalism leads to a parton distribution corresponding to the valence quarks, with a good agreement with the experimentally observed distribution.

scholarly journals GLUON EXCITATIONS OF THE STATIC-QUARK POTENTIAL

2000 ◽  
pp. 179-182
Author(s):  
K.J. Juge ◽  
J. Kuti ◽  
C. Morningstar
Keyword(s):  
Quark Potential ◽  
Static Quark

scholarly journals Perturbative static quark potential in Maximal Abelian gauge

2019 ◽  
Vol 799 ◽  
pp. 135014
Author(s):  
Matthias Berwein ◽  
Yukinari Sumino
Keyword(s):  
Abelian Gauge ◽  
Quark Potential ◽  
Static Quark

A CALCULATION OF THE MAGNETIC MOMENT OF THE Δ++

1993 ◽  
Vol 08 (34) ◽  
pp. 3283-3290
Author(s):  
MILTON DEAN SLAUGHTER
Keyword(s):  
Quark Model ◽  
Magnetic Moment ◽  
Broken Symmetry ◽  
Flavor Symmetry ◽  
Perturbative Calculation ◽  
Gauge Invariant ◽  
Equal Time ◽  
Asymptotic Level ◽  
Equal Time Commutation ◽  
Static Quark

A fully relativistic, gauge-invariant, and non-perturbative calculation of the Δ++ magnetic moment, μΔ++, is made using equal-time commutation relations (ETCRs) and the dynamical concepts of asymptotic SU F(2) flavor symmetry and asymptotic level realization. Physical masses of the Δ and nucleon are used in this broken symmetry calculation. It is found that μΔ++=2.04μp, where μp is the proton magnetic moment. This result is very similar to that obtained by using SU(6) ⊗ O(3) symmetry or the static quark model.

Difficulties of the static quark model in the case of the η-decays

1966 ◽  
Vol 22 (5) ◽  
pp. 684-685 ◽  
Author(s):  
P. Möbius ◽  
H. Pietschmann
Keyword(s):  
Quark Model ◽  
Static Quark

scholarly journals Maximal variance reduction for stochastic propagators with applications to the static quark spectrum

1998 ◽  
Vol 58 (3) ◽  
Author(s):  
C. Michael ◽  
J. Peisa
Keyword(s):  
Variance Reduction ◽  
Static Quark

scholarly journals Free energy of a static quark-antiquark pair and the renormalized Polyakov loop in three flavor QCD

2004 ◽  
Vol 70 (5) ◽  
Author(s):  
P. Petreczky ◽  
K. Petrov
Keyword(s):  
Free Energy ◽  
Polyakov Loop ◽  
Static Quark
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