scholarly journals Determination of the gluon condensate and the four quark condensate via FESR

1988 ◽  
Vol 39 (2) ◽  
pp. 231-240 ◽  
Author(s):  
R. A. Bertlmann ◽  
C. A. Dominguez ◽  
M. Loewe ◽  
M. Perrottet ◽  
E. Rafael
Keyword(s):  
Gluon Condensate ◽  
Quark Condensate

scholarly journals Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD

2019 ◽  
Vol 100 (3) ◽  
Author(s):  
C. T. H. Davies ◽  
K. Hornbostel ◽  
J. Komijani ◽  
J. Koponen ◽  
G. P. Lepage ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Quark Condensate

scholarly journals QUARK AND GLUON CONDENSATES IN THE QUARK–MESON COUPLING MODEL

1998 ◽  
Vol 13 (10) ◽  
pp. 769-777 ◽  
Author(s):  
K. SAITO ◽  
K. TSUSHIMA ◽  
A. W. THOMAS
Keyword(s):  
Mean Field ◽  
Gluon Condensate ◽  
Coupling Model ◽  
Field Approximation ◽  
Quark Condensate ◽  
Mean Field Approximation ◽  
Simple Relationship ◽  
Gluon Condensates ◽  
Hadron Mass ◽  
Meson Coupling

Using the quark–meson coupling (QMC) model, we study the density dependence of the quark and gluon condensates in nuclear matter. We show that the change of the quark condensate is mainly driven by the scalar field in the medium and that the reduction of the quark condensate is suppressed at high density, even in the mean-field approximation. The gluon condensate decreases by 4–6% at nuclear saturation density. We also give a simple relationship between the change of the quark condensate and that of a hadron mass in the medium.

A SEMIPHENOMENOLOGICAL DETERMINATION OF QUARK CONDENSATE

1994 ◽  
Vol 09 (04) ◽  
pp. 499-506 ◽  
Author(s):  
XIN-HENG GUO ◽  
TAO HUANG
Keyword(s):  
Renormalization Group ◽  
Chiral Limit ◽  
Chiral Symmetry Breaking ◽  
Quark Condensate ◽  
Coupling Constant ◽  
Critical Coupling ◽  
Group Invariant ◽  
The One ◽  
Consistent Equation

A consistent equation for the quark condensate in the chiral limit provides a determination of the renormalization-group-invariant quark condensate. A critical point at which the strong coupling constant is big enough for chiral symmetry breaking to take place is found. They are analyzed at the one- and two-loop levels respectively. An intuitive picture of the condensation above the critical coupling constant is discussed.

scholarly journals Hyperasymptotic approximation to the plaquette and determination of the gluon condensate

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Cesar Ayala ◽  
Xabier Lobregat ◽  
Antonio Pineda
Keyword(s):  
Gluon Condensate ◽  
Renormalization Scheme ◽  
Coupling Constant ◽  
Perturbative Series ◽  
Principal Value

Abstract We give the hyperasymptotic expansion of the plaquette with a precision that includes the terminant associated to the leading renormalon. Subleading effects are also considered. The perturbative series is regulated using the principal value prescription for its Borel integral. We use this analysis to give a determination of the gluon condensate in SU(3) pure gluodynamics that is independent of the scale and renormalization scheme used for the coupling constant: $$ {\left\langle {G}^2\right\rangle}_{\mathrm{PV}}\left({n}_f=0\right)=3.15(18){r}_0^{-4} $$ G 2 PV n f = 0 = 3.15 18 r 0 − 4 .

ON A POSSIBILITY TO ELIMINATE THE LANDAU POLE IN QCD

2013 ◽  
Vol 28 (26) ◽  
pp. 1350127 ◽  
Author(s):  
BORIS A. ARBUZOV ◽  
IVAN V. ZAITSEV
Keyword(s):  
Gauge Theories ◽  
Gauge Coupling ◽  
Gluon Condensate ◽  
Spontaneous Generation ◽  
Compensation Principle ◽  
The Standard Model ◽  
Compensation Approach ◽  
Determination Of Parameters ◽  
Gluon Interaction

We apply the Bogoliubov compensation principle to QCD. The nontrivial solution of compensation equations for a spontaneous generation of the anomalous three-gluon interaction leads to the determination of parameters of the theory, including behavior of the gauge coupling αs(Q2) without the Landau singularity, the gluon condensate V2 ≃0.01 GeV 4, mass of the lightest glueball MG≃1500 MeV in satisfactory agreement with the phenomenological knowledge. The results strongly support the applicability of Bogoliubov compensation approach to gauge theories of the Standard Model.

CHIRAL SYMMETRY BREAKING AND THE GLUON CONDENSATE

1993 ◽  
Vol 08 (04) ◽  
pp. 335-339
Author(s):  
M. FABER ◽  
A.N. IVANOV ◽  
M. NAGY ◽  
N.I. TROITSKAYA
Keyword(s):  
Magnetic Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Sum Rules ◽  
Chiral Symmetry Breaking ◽  
Gluon Condensate ◽  
Quark Condensate ◽  
Low Energy ◽  
Qcd Sum Rules ◽  
Energy Approximation

For the low-energy approximation of QCD, the extended Nambu-Jona-Lasinio model has been used. Quarks interact with an external homogeneous color-magnetic field, simulating the contribution of the gluon condensate. The value of the gluon condensate, needed to reach the correct value of the quark condensate, is determined and agrees well with the value obtained from QCD sum rules.

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