EXACT SOLUTIONS TO THE TWO-DIMENSIONAL BF AND YANG–MILLS THEORIES IN THE LIGHT-CONE GAUGE
2002 ◽
Vol 17
(11)
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pp. 1491-1502
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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.
1999 ◽
Vol 14
(04)
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pp. 521-536
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Keyword(s):
1992 ◽
Vol 07
(35)
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pp. 3291-3302
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Keyword(s):
1992 ◽
Vol 07
(40)
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pp. 3777-3782
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1989 ◽
Vol 04
(05)
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pp. 419-425
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1993 ◽
Vol 08
(08)
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pp. 697-710
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1987 ◽
Vol 02
(11)
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pp. 893-898
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1991 ◽
Vol 06
(34)
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pp. 3191-3197
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Keyword(s):
1992 ◽
Vol 07
(25)
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pp. 2263-2268
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