TY - JOUR
T1 - Instatons, the quark model, and the 1/N expansion
AU - Witten, Edward
N1 - Funding Information:
At the same time, instanton physics, as it now stands, is, in some ways, in conflict with some of the most successful ideas about the strong interactions. For instance, our present field theoretic understanding is that the B mass (in the chiral limit, rnTr = 0) is an instanton effect. (In discussing the U(1) problem in this paper I will consider the limit of chiral SU(2), m u = rn d = 0, and I will refer to the missing isosinglet Goldstone boson as the "rf'.) However, in the naive quark model, which is known for its successes, there is a simple and natural explanation \[8\]o f what splits the r/from the 7r: in the r/, which is an isosinglet, the quark-antiquark pair can annihilate into gluons; this annihilation channel is absent for the isovector * Research is supported in part by the National Science Foundation under Grant No. PHY77-22864, and by the Harvard Society of Fellows.
PY - 1979/3/19
Y1 - 1979/3/19
N2 - An attempt is made to resolve certain discrepancies between instatons, the quark model and the 1/N expansion. It is argued that the most attractive resolution of these discrepancies is the possibility that quantum corrections cause the instanton gas to disappear in QCD. A two-dimensional model is described in which it can be seen explicitly that such a disappearance takes place. (This model has been investigated independently by D'Adda, Di Vecchia, and Lüscher.).
AB - An attempt is made to resolve certain discrepancies between instatons, the quark model and the 1/N expansion. It is argued that the most attractive resolution of these discrepancies is the possibility that quantum corrections cause the instanton gas to disappear in QCD. A two-dimensional model is described in which it can be seen explicitly that such a disappearance takes place. (This model has been investigated independently by D'Adda, Di Vecchia, and Lüscher.).
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U2 - 10.1016/0550-3213(79)90243-8
DO - 10.1016/0550-3213(79)90243-8
M3 - Article
AN - SCOPUS:33847536978
SN - 0550-3213
VL - 149
SP - 285
EP - 320
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2
ER -