TY - JOUR
T1 - Large-N limit of N = 2 supersymmetric QN model in two dimensions
AU - Higashijima, Kiyoshi
AU - Kimura, Tetsuji
AU - Nitta, Muneto
AU - Tsuzuki, Makoto
N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2001/2
Y1 - 2001/2
N2 - We investigate non-perturbative structures of the two-dimensional script N = 2 supersymmetric nonlinear sigma model on the quadric surface QN-2(C) = SO(N)/SO(N - 2) × U (1), which is a Hermitian symmetric space, and therefore Kähler, by using the auxiliary field and large-N methods. This model contains two kinds of non-perturbatively stable vacua; one of them is the same vacuum as that of the supersymmetric CPN-1 model, and the other is a new kind of vacuum, which has not yet been known to exist in two-dimensional nonlinear sigma models, the Higgs phase. We show that both of these vacua are asymptotically free. Although symmetries are broken in these vacua, there appear no massless Nambu-Goldstone bosons, in agreement with Coleman's theorem, due to the existence of two different mechanisms in these vacua, the Schwinger and the Higgs mechanisms.
AB - We investigate non-perturbative structures of the two-dimensional script N = 2 supersymmetric nonlinear sigma model on the quadric surface QN-2(C) = SO(N)/SO(N - 2) × U (1), which is a Hermitian symmetric space, and therefore Kähler, by using the auxiliary field and large-N methods. This model contains two kinds of non-perturbatively stable vacua; one of them is the same vacuum as that of the supersymmetric CPN-1 model, and the other is a new kind of vacuum, which has not yet been known to exist in two-dimensional nonlinear sigma models, the Higgs phase. We show that both of these vacua are asymptotically free. Although symmetries are broken in these vacua, there appear no massless Nambu-Goldstone bosons, in agreement with Coleman's theorem, due to the existence of two different mechanisms in these vacua, the Schwinger and the Higgs mechanisms.
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U2 - 10.1143/PTP.105.261
DO - 10.1143/PTP.105.261
M3 - Article
AN - SCOPUS:0035532556
VL - 105
SP - 261
EP - 285
JO - Progress of Theoretical Physics
JF - Progress of Theoretical Physics
SN - 0033-068X
IS - 2
ER -