Current nonconservation in the light-cone quantization of the scalar field

1979 ◽  
Vol 54 (3) ◽  
pp. 314-320 ◽  
Author(s):  
C. R. Hagen
1993 ◽  
Vol 08 (33) ◽  
pp. 3165-3172 ◽  
Author(s):  
LIU CHAO

The light-cone quantization of two-dimensional one-component self-interacting scalar field theory is discussed using the Dirac method. Several subtleties are pointed out. In particular, it is found that the left and right quantization are not essentially equivalent, at least for the free field case, and that there is a Virasoro current algebra for every non-trivially self-interacting field theories which show that all the nonconformally interacting two-dimensional field theory can be considered as the off-critical perturbation of conformal field theories.


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

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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