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.

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

A MODEL LAGRANGIAN FOR STRONG INTERACTIONS AT LARGE DISTANCES

1989 ◽  
Vol 04 (03) ◽  
pp. 293-302 ◽  
Author(s):  
MEIUN SHINTANI
Keyword(s):  
Background Field ◽  
String Tension ◽  
Field Method ◽  
Strong Interactions ◽  
Coupling Constant ◽  
Running Coupling ◽  
Free Region ◽  
Running Coupling Constant ◽  
Background Field Method ◽  
The One

On the basis of the massive vector dipole theory as a model for strong interactions at large distances, we compute the counterterm Lagrangian at the one-loop level in the background field method. By smoothly relating the running coupling constant in the confining region to that in the asymptotically free region, we deduce a relationship between the string tension and the QCD scale parameter Λ QCD . With an input data of the string tension, we evaluate the value of Λ QCD . The lower bound to the distances where the dipole theory is valid relies on the number of flavors. The theory seems to be meaningful for six generations or less.

scholarly journals THE GROSS–NEVEU MODEL ON THE LIGHT-CONE

1995 ◽  
Vol 10 (06) ◽  
pp. 525-537 ◽  
Author(s):  
IGOR PESANDO
Keyword(s):  
Light Cone ◽  
Bound State ◽  
State Equation ◽  
Coupling Constant ◽  
Normal Ordering ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Light Cone Quantization ◽  
Gross Neveu Model

We consider the (massive) Gross–Neveu model using the light-cone quantization where we solve the constraints explicitly. We show that the vacuum is trivial and that the quantization fails when m = 0. We show that the running coupling constant emerges as a pure normal ordering effect and we discuss the bound state equation.

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