scholarly journals Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory

2013 ◽  
Vol 88 (9) ◽  
Author(s):  
M. Hayakawa ◽  
K.-I. Ishikawa ◽  
S. Takeda ◽  
N. Yamada
Keyword(s):  
Gauge Theory ◽  
Anomalous Dimension ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

scholarly journals A definition of the running coupling constant in a twisted SU(2) lattice gauge theory

1994 ◽  
Vol 422 (1-2) ◽  
pp. 382-396 ◽  
Author(s):  
G.M. de Divitiis ◽  
R. Frezzotti ◽  
M. Guagnelli ◽  
R. Petronzio
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Coupling Constant ◽  
Lattice Gauge ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Definition Of

scholarly journals COMPUTATION OF THE SPATIAL STRING TENSION IN HIGH TEMPERATURE SU(2) GAUGE THEORY

1993 ◽  
Vol 04 (06) ◽  
pp. 1179-1193 ◽  
Author(s):  
G. S. BALI ◽  
K. SCHILLING ◽  
J. FINGBERG ◽  
U. M. HELLER ◽  
F. KARSCH
Keyword(s):  
Gauge Theory ◽  
Critical Temperature ◽  
Temperature Dependence ◽  
Scale Parameter ◽  
String Tension ◽  
Coupling Constant ◽  
Running Coupling ◽  
Connection Machine ◽  
Running Coupling Constant ◽  
Sustained Performance

A detailed investigation of the temperature dependence of the spatial string tension σs in SU(2) gauge theory is presented. A sustained performance of 3 GFLOPS on a 64K Connection Machine CM-2 equivalent has been achieved. Scaling of σs between β = 2.5115 and β = 2.74, on large lattices, is demonstrated. Below the critical temperature, Tc, σs remains constant. For temperatures larger than 2Tc the temperature dependence can be parametrized by σs(T) = (0.369 ± 0.014)2g4(T)T2, where g(T) is a 2-loop running coupling constant with the scale parameter determined as ΛT = (0.076 ± 0.013)Tc.

ON THE PHASE DIAGRAM OF ASYMPTOTICALLY FREE GAUGE THEORIES WITH ADDITIONAL FOUR-FERMION INTERACTION

1989 ◽  
Vol 04 (15) ◽  
pp. 1409-1417 ◽  
Author(s):  
V.A. MIRANSKY ◽  
TATSUHIKO NONOYAMA ◽  
KOICHI YAMAWAKI
Keyword(s):  
Phase Diagram ◽  
Gauge Theories ◽  
Anomalous Dimension ◽  
Critical Line ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Gauge Models ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Lattice Computer

In the ladder asymptotically free gauge models with one-loop running coupling constant and additional four-fermion interaction, the structure of the phase diagram in coupling constants is determined. The anomalous dimension γm of the composite operator [Formula: see text] is calculated on the full critical line of the diagram. The possibilities of the examination of the phase diagram of such theories in lattice computer simulations are discussed.

DETERMINATION OF QCD RUNNING COUPLING CONSTANT IN NNLO APPROXIMATION, USING COMPLETE RG IMPROVEMENT

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1955-1958
Author(s):  
A. MIRJALILI ◽  
ALI N. KHORRAMIAN ◽  
S. ATASHBAR TEHRANI
Keyword(s):  
Renormalization Group ◽  
Structure Function ◽  
Bernstein Polynomial ◽  
Anomalous Dimension ◽  
Polynomial Method ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

To obtain the improved QCD predictions for the moments of the xF3 structure function in νN scattering, three-loop Wilson coefficients with the corresponding NNLO anomalous dimension coefficients is used. A comparison between QCD predictions and the xF3 data of the CCFR collaboration has been done in which the Bernstein Polynomial method is used in the complete renormalization group improvement approach. A direct fits for [Formula: see text] over the corresponding range of Q2 with five effective quark flavours, is performed.

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