scholarly journals Running coupling in nonperturbative QCD: Bare vertices andy-max approximation

1998 ◽  
Vol 58 (9) ◽  
Author(s):  
D. Atkinson ◽  
J. C. R. Bloch
Keyword(s):  
Running Coupling ◽  
Nonperturbative Qcd

scholarly journals ANALYSIS OF αsFROM THE REALIZATION OF QUARK-HADRON DUALITY

2014 ◽  
Vol 25 ◽  
pp. 1460046 ◽  
Author(s):  
A. COURTOY ◽  
SIMONETTA LIUTI
Keyword(s):  
Nonperturbative Effects ◽  
Structure Function ◽  
Resonance Region ◽  
Smooth Transition ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Nonperturbative Qcd ◽  
Hadron Duality

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD in the context of the quark-hadron duality à la Bloom-Gilman. Our framework will be the unpolarized structure function of the proton in the resonance region. We suggest that the realization of duality is related to the inclusion of nonperturbative effects at the level of the coupling constant. The outcome of our analysis is a smooth transition from perturbative to nonperturbative QCD physics, embodied in the running of the coupling constant at intermediate scales.

scholarly journals THE HYBRID MESON: NEW RESULTS FROM THE UPDATED mg AND αs PARAMETERS

2011 ◽  
Vol 26 (23) ◽  
pp. 4101-4110 ◽  
Author(s):  
L. SEMLALA ◽  
F. IDDIR
Keyword(s):  
Coupling Constant ◽  
Hybrid Meson ◽  
Gluon Mass ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Decay Widths ◽  
Nonperturbative Qcd ◽  
The Masses ◽  
Meson States

We present new results concerning the masses and the decay widths of the most interesting hybrid meson states taking as inputs the gluon mass mg and the nonperturbative QCD running coupling constant αs(0) coming from both LQCD and SDE recent estimations.

Nonperturbative QCD and supersymmetric QCD

2004 ◽  
Vol 174 (2) ◽  
pp. 113 ◽  
Author(s):  
Viktor A. Novikov
Keyword(s):  
Nonperturbative Qcd

scholarly journals Spontaneous chiral symmetry breaking in the massive Landau gauge: Realistic running coupling

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Marcela Peláez ◽  
Urko Reinosa ◽  
Julien Serreau ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Landau Gauge ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Running Coupling

scholarly journals ANALYTIC INVARIANT CHARGE IN QCD

2003 ◽  
Vol 18 (30) ◽  
pp. 5475-5519 ◽  
Author(s):  
A. V. NESTERENKO
Keyword(s):  
Perturbative Expansion ◽  
Quantum Field ◽  
Perturbative Approach ◽  
Interaction Processes ◽  
Running Coupling ◽  
Wide Range ◽  
Local Quantum ◽  
Concrete Realization ◽  
Β Function ◽  
Analytic Invariant

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.

scholarly journals Ghost-gluon running coupling, power corrections, and the determination ofΛMS¯

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

Quark matter in the perturbation QCD model with a rapidly convergent matching-invariant running coupling

2017 ◽  
Vol 26 (06) ◽  
pp. 1750034 ◽  
Author(s):  
Jian-Feng Xu ◽  
Yan-An Luo ◽  
Lei Li ◽  
Guang-Xiong Peng
Keyword(s):  
Perturbation Theory ◽  
Infinite Number ◽  
Quark Matter ◽  
Chemical Potential ◽  
Maximum Mass ◽  
Solar Mass ◽  
Quark Stars ◽  
Dense Quark Matter ◽  
Subtraction Point ◽  
Running Coupling

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.

scholarly journals CLUSTER ALGORITHMS FOR NONLINEAR SIGMA MODELS

1992 ◽  
Vol 03 (01) ◽  
pp. 213-219 ◽  
Author(s):  
ULLI WOLFF
Keyword(s):  
Lattice Gauge Theory ◽  
Percolation Cluster ◽  
Cluster Technique ◽  
Slowing Down ◽  
Monte Carlo Algorithms ◽  
Lattice Gauge ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Cluster Monte Carlo ◽  
Theory Calculation

Percolation cluster Monte Carlo algorithms for nonlinear σ-models on the lattice are reviewed with special emphasis on their possible generalizations. While they have been found to practically eliminate critical slowing down for the standard O(n) invariant vector models, their extension to other physically similar models — like RPn−1 and SU(n)×SU(n) chiral models — is less straight forward than one might have thought. I outline the present situation in this area of research. In the second part of my talk I described a numerical calculation of a physical running coupling constant in the O(3) model. This represents an application of the cluster technique in a preparatory study for a later lattice gauge theory calculation. This material can be found in Ref. 11.

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