On the usefulness of the 't Hooft and Adler transformations of the running coupling constant in perturbative quantum chromodynamics

1982 ◽  
Vol 118 (1-3) ◽  
pp. 141-144 ◽  
Author(s):  
Kaoru Hagiwara
Keyword(s):  
Quantum Chromodynamics ◽  
Coupling Constant ◽  
Perturbative Quantum Chromodynamics ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Perturbative Quantum

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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