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.

scholarly journals THE FOUR-FERMION INTERACTION IN D = 2, 3, 4: A NONPERTURBATIVE TREATMENT

1998 ◽  
Vol 13 (21) ◽  
pp. 3649-3665 ◽  
Author(s):  
V. E. ROCHEV ◽  
P. A. SAPONOV
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degrees Of Freedom ◽  
Space Time ◽  
Coupling Constant ◽  
Dimensional Theory ◽  
Fixed Integer ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Gross Neveu Model

A new nonperturbative approach is used to investigate the Gross–Neveu model of four-fermion interaction in the space–time dimensions 2, 3 and 4, the number N of inner degrees of freedom being a fixed integer. The spontaneous symmetry breaking is shown to exist in D=2, 3 and the running coupling constant is calculated. The four-dimensional theory seems to be trivial.

CHARMONIUM AND BOTTOMIUM SPECTRA IN THE STATISTICAL MODEL

1989 ◽  
Vol 04 (20) ◽  
pp. 5575-5585 ◽  
Author(s):  
S. N. BANERJEE ◽  
BALLARI CHAKRABARTI ◽  
A. K. SARKER
Keyword(s):  
Statistical Model ◽  
Spectroscopic Properties ◽  
Exchange Potential ◽  
Coupling Constant ◽  
Gluon Exchange ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Experimental Findings ◽  
Good Agreement

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.

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
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