scholarly journals Running coupling from gluon exchange in the Schrodinger functional

2012 ◽  
Author(s):  
Yigal Shamir
1989 ◽  
Vol 04 (20) ◽  
pp. 5575-5585 ◽  
Author(s):  
S. N. BANERJEE ◽  
BALLARI CHAKRABARTI ◽  
A. K. SARKER

The spectroscopic properties of the charmonium (Ψ) and bottomium (ϒ) families have been studied in the framework of the statistical model. The energy splittings of the S, P, D levels of Ψ and ϒ-families have been investigated using one-gluon exchange potential containing the running coupling constant, as a perturbation over the already existing confinement type of potentials. Our computed results are found to be in reasonably good agreement with the corresponding experimental findings and/or other theoretical estimates.


2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor

2003 ◽  
Vol 18 (30) ◽  
pp. 5475-5519 ◽  
Author(s):  
A. V. NESTERENKO

This paper gives an overview of recently developed model for the QCD analytic invariant charge. Its underlying idea is to bring the analyticity condition, which follows from the general principles of local Quantum Field Theory, in perturbative approach to renormalization group (RG) method. The concrete realization of the latter consists in explicit imposition of analyticity requirement on the perturbative expansion of β function for the strong running coupling, with subsequent solution of the corresponding RG equation. In turn, this allows one to avoid the known difficulties originated in perturbative approximation of the RG functions. Ultimately, the proposed approach results in qualitatively new properties of the QCD invariant charge. The latter enables one to describe a wide range of the strong interaction processes both of perturbative and intrinsically nonperturbative nature.


2014 ◽  
Vol 23 (03) ◽  
pp. 1450013 ◽  
Author(s):  
Shiwu Chen ◽  
Qin Li ◽  
Jianfeng Xu ◽  
Li Gao ◽  
Chengjun Xia

We investigate the properties of strangelets at zero temperature with a new quark model in which the linear confinement and one-gluon-exchange (OGE) interactions are integrated as a whole. The charge, parameters dependence and the stability of strangelets are discussed. Our results showed that the OGE interaction lowers the energy of a strangelet, and consequently makes its stable radius smaller than that in the case of not including this interaction, and less than that of a nucleus with the same baryon number. Therefore, the strangelet in the present model has more chance to be absolutely stable.


1989 ◽  
Vol 225 (4) ◽  
pp. 301-307 ◽  
Author(s):  
A. Buchmann ◽  
Y. Yamauchi ◽  
Amand Faessler

1996 ◽  
Vol 11 (16) ◽  
pp. 1331-1337 ◽  
Author(s):  
K. LANGFELD ◽  
C. KETTNER

The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.


2009 ◽  
Vol 79 (1) ◽  
Author(s):  
Ph. Boucaud ◽  
F. De Soto ◽  
J. P. Leroy ◽  
A. Le Yaouanc ◽  
J. Micheli ◽  
...  

1979 ◽  
Vol 150 ◽  
pp. 383-396 ◽  
Author(s):  
Kohichi Ohta ◽  
Takahiro Kubota

2017 ◽  
Vol 26 (06) ◽  
pp. 1750034 ◽  
Author(s):  
Jian-Feng Xu ◽  
Yan-An Luo ◽  
Lei Li ◽  
Guang-Xiong Peng

The properties of dense quark matter are investigated in the perturbation theory with a rapidly convergent matching-invariant running coupling. The fast convergence is mainly due to the resummation of an infinite number of known logarithmic terms in a compact form. The only parameter in this model, the ratio of the renormalization subtraction point to the chemical potential, is restricted to be about 2.64 according to the Witten–Bodmer conjecture, which gives the maximum mass and the biggest radius of quark stars to be, respectively, two times the solar mass and 11.7[Formula: see text]km.


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