TY - JOUR

T1 - Conservation laws in some two-dimensional models

AU - Goldschmidt, Y. Y.

AU - Witten, E.

N1 - Funding Information:
We would like to search for higher conservation laws in some additional models - the O(N) X O(N) and SU(N) X SU(N) chiral models, and the CP N model. For the O(N) X O(N) and SU(N) × SU(N) models we will find higher conservation laws that survive quantization. For the CP N model our analysis suggests that the classical conservation laws are spoiled at the quantum level by anomalies. This does not come as a complete surprise since the properties of the 1IN expansion in this model \[7\]s uggest that it is not exactly soluble. It is easy to show that any conformally invariant classical theory in two dimensions has infinitely many local conservation laws. Let us consider light-cone coordinates Research supported in part by the National Science Founda-tion under Grand No. PHY77-22864. t CEN-Saclay, 91190 Gif-sur-Yvette, France. 2 Junior Fellow, Harvard Society of Fellows.

PY - 1980/4/21

Y1 - 1980/4/21

N2 - Certain classical conservation laws in the chiral O (N) × O (N) and SU (N) × SU (N) models in two dimensions are shown to survive quantization. This indicates that the S matrices of these models must factorize. At least in one case that is checked explicitly, an analogous conservation law in the CPN model does not appear to survive quantization.

AB - Certain classical conservation laws in the chiral O (N) × O (N) and SU (N) × SU (N) models in two dimensions are shown to survive quantization. This indicates that the S matrices of these models must factorize. At least in one case that is checked explicitly, an analogous conservation law in the CPN model does not appear to survive quantization.

UR - http://www.scopus.com/inward/record.url?scp=0000261969&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000261969&partnerID=8YFLogxK

U2 - 10.1016/0370-2693(80)91004-7

DO - 10.1016/0370-2693(80)91004-7

M3 - Article

AN - SCOPUS:0000261969

VL - 91

SP - 392

EP - 396

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -