scholarly journals Zero modes and the vacuum problem: A study of scalar adjoint matter in two-dimensional Yang-Mills theory via light-cone quantization

1996 ◽  
Vol 54 (4) ◽  
pp. 2876-2888 ◽  
Author(s):  
Alex C. Kalloniatis
2002 ◽  
Vol 17 (11) ◽  
pp. 1491-1502 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI

It is shown that the BRS (= Becchi–Rouet–Stora)-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulated two-dimensional quantum gravity in the conformal gauge. In particular, the BRS Noether charge has anomaly. Based on this fact, a criticism is made on the reasoning of Kato and Ogawa, who derived the critical dimension D=26 of string theory on the basis of the anomaly of the BRS Noether charge. By adding the [Formula: see text] term to the BF-theory Lagrangian density, the exact solution to the two-dimensional Yang–Mills theory is also obtained.


2004 ◽  
Vol 70 (4) ◽  
Author(s):  
Motomichi Harada ◽  
John R. Hiller ◽  
Stephen Pinsky ◽  
Nathan Salwen

1999 ◽  
Vol 468 (1-2) ◽  
pp. 52-57 ◽  
Author(s):  
Jin-Ho Cho ◽  
Taejin Lee ◽  
Gordon Semenoff

1995 ◽  
Vol 51 (8) ◽  
pp. 4445-4450 ◽  
Author(s):  
M. E. Convery ◽  
C. C. Taylor ◽  
Jin Woo Jun

2002 ◽  
Vol 536 (3-4) ◽  
pp. 250-258 ◽  
Author(s):  
A. Harindranath ◽  
L. Martinovič ◽  
J.P. Vary

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.


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