scholarly journals Constituent gluon content of the static quark-antiquark state in Coulomb gauge

2009 ◽  
Vol 79 (11) ◽  
Author(s):  
J. Greensite ◽  
Š. Olejník
Keyword(s):  
Coulomb Gauge ◽  
Static Quark ◽  
Gluon Content

scholarly journals Dynamical quark mass generation in QCD3 within the Hamiltonian approach in Coulomb gauge

2020 ◽  
Vol 229 (22-23) ◽  
pp. 3351-3361
Author(s):  
Felix Spengler ◽  
Davide Campagnari ◽  
Hugo Reinhardt
Keyword(s):  
Mass Function ◽  
Quark Propagator ◽  
Coulomb Gauge ◽  
Hamiltonian Approach ◽  
Mass Generation ◽  
Gap Equation ◽  
Spatial Dimensions ◽  
Dynamical Quark Mass ◽  
Static Quark ◽  
Multiplicative Renormalizability

AbstractWe investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in d = 2 spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in d = 3, the gap equation for the dynamical mass function has the same form. The additional vector kernel which was introduced in d = 3 to cancel the linear divergence of the gap equation and to preserve multiplicative renormalizability of the quark propagator makes the gap equation free of divergences also in d = 2.

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 The Non-Relativistic Many-Body Quantum-Mechanical Hamiltonian with Diamagnetic Current-Current Interaction

2021 ◽  
Author(s):  
Ladislaus Alexander Bányai
Keyword(s):  
Solid State ◽  
Analogous Result ◽  
Charged Particles ◽  
Coulomb Gauge ◽  
Quantum Mechanical ◽  
Photon Propagator ◽  
Coulomb Interactions ◽  
Many Body ◽  
Transverse Current ◽  
Current Interaction

AbstractWe extend the standard solid-state quantum mechanical Hamiltonian containing only Coulomb interactions between the charged particles by inclusion of the (transverse) current-current diamagnetic interaction starting from the non-relativistic QED restricted to the states without photons and neglecting the retardation in the photon propagator. This derivation is supplemented with a derivation of an analogous result along the non-rigorous old classical Darwin-Landau-Lifshitz argumentation within the physical Coulomb gauge.

Yang-Mills vacuum in the Coulomb gauge within an effective model

1989 ◽  
Vol 40 (8) ◽  
pp. 2692-2696 ◽  
Author(s):  
P. Besting ◽  
D. Schütte
Keyword(s):  
Coulomb Gauge ◽  
Effective Model ◽  
Yang Mills

scholarly journals Yang-Mills wave functional in Coulomb gauge

2005 ◽  
Vol 71 (10) ◽  
Author(s):  
H. Reinhardt ◽  
C. Feuchter
Keyword(s):  
Coulomb Gauge ◽  
Yang Mills

scholarly journals Static force potential of a non-Abelian gauge theory in a finite box in Coulomb gauge

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Tomohiro Furukawa ◽  
Keiichi Ishibashi ◽  
H. Itoyama ◽  
Satoshi Kambayashi
Keyword(s):  
Gauge Theory ◽  
Coulomb Gauge ◽  
Static Force ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Force Potential

scholarly journals Split dimensional regularization for the Coulomb gauge at two loops

2000 ◽  
Vol 575 (1-2) ◽  
pp. 359-382 ◽  
Author(s):  
G. Heinrich ◽  
G. Leibbrandt
Keyword(s):  
Dimensional Regularization ◽  
Coulomb Gauge
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