scholarly journals Application of Pauli-Villars regularization and discretized light-cone quantization to a single-fermion truncation of Yukawa theory

2001 ◽  
Vol 64 (11) ◽  
Author(s):  
Stanley J. Brodsky ◽  
John R. Hiller ◽  
Gary McCartor
Keyword(s):  
Light Cone ◽  
Light Cone Quantization ◽  
Villars Regularization ◽  
Yukawa Theory

scholarly journals APPLICATION OF DISCRETE LIGHT-CONE QUANTIZATION TO YUKAWA THEORY IN FOUR DIMENSIONS

2001 ◽  
Vol 16 (supp01c) ◽  
pp. 1213-1215
Author(s):  
J. R. HILLER
Keyword(s):  
Light Cone ◽  
Special Form ◽  
Numerical Technique ◽  
Indefinite Metric ◽  
Four Dimensions ◽  
Fock State ◽  
Light Cone Quantization ◽  
Diagonalization Algorithm ◽  
Yukawa Theory

The numerical technique of discrete light-cone quantization (DLCQ) is applied to a single-fermion truncation of Yukawa theory in four dimensions. The truncated theory is regulated by three Pauli-Villars bosons, which are introduced directly in the DLCQ Fock-state basis. A special form of the Lanczos diagonalization algorithm is used to handle the indefinite metric. Renormalization is done nonperturbatively.

Discretized light-cone quantization of (1+1)-dimensional QED reexamined

1991 ◽  
Vol 44 (8) ◽  
pp. 2598-2601 ◽  
Author(s):  
C. M. Yung ◽  
C. J. Hamer
Keyword(s):  
Light Cone ◽  
Light Cone Quantization

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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