scholarly journals Running coupling constant and correlation length from Wilson loops

1995 ◽  
Vol 349 (4) ◽  
pp. 499-503 ◽  
Author(s):  
Massimo Campostrini ◽  
Paolo Rossi ◽  
Ettore Vicari
Keyword(s):  
Correlation Length ◽  
Wilson Loops ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

scholarly journals New scheme for the running coupling constant in gauge theories using Wilson loops

2009 ◽  
Vol 80 (3) ◽  
Author(s):  
Erek Bilgici ◽  
Antonino Flachi ◽  
Etsuko Itou ◽  
Masafumi Kurachi ◽  
C.-J. David Lin ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Wilson Loops ◽  
Coupling Constant ◽  
Running Coupling ◽  
Running Coupling Constant

scholarly journals FINITE SIZE SCALING AND RUNNING COUPLING CONSTANT IN CPN-1 MODELS

1998 ◽  
Vol 13 (06) ◽  
pp. 887-901
Author(s):  
EMANUELE MANFREDINI
Keyword(s):  
Correlation Length ◽  
Numerical Study ◽  
Finite Size ◽  
Perturbative Expansion ◽  
Finite Size Scaling ◽  
Coupling Constant ◽  
Size Scaling ◽  
Running Coupling ◽  
Running Coupling Constant ◽  
Conceptual Problems

In this work I present a numerical study of the Finite Size Scaling (FSS) of a correlation length in the framework of the CPN-1 model by means of the 1/N expansion. This study has been thought as preparatory to the application of FSS to the measure on the lattice of a new coupling constant fx(1/R), defined in terms or rectangular Wilson loops. I give also a perturbative expansion of fx(1/R) in powers of the corresponding coupling constant in the [Formula: see text] scheme together with some preliminary numerical results obtained from the Polyakov ratio and I point out the conceptual problems that limit this approach.

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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