scholarly journals Application of Pauli--Villars Regularization and Discretized Light-Cone Quantization to a Single-Fermion Truncation of Yukawa Theory

2001 ◽  
Author(s):  
Stanley J Brodsky



2001 ◽  
Vol 16 (supp01c) ◽  
pp. 1213-1215
Author(s):  
J. R. HILLER

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.







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


1999 ◽  
Author(s):  
Oleg Lunin ◽  
Stephen Pinsky


1995 ◽  
Vol 10 (06) ◽  
pp. 525-537 ◽  
Author(s):  
IGOR PESANDO

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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