磁気的自由度を用いないN=1超対称的SO(N_c)ゲージ理論の非摂動的記述

概要

論文の詳細を見る
In a confinig phase described by a strongly coupled Supersymmetric (SUSY) gauge theory with quarks having N_f flavors and N_c-colors, it is understood that physics is well described by magnetic quarks such as monopoles and dyons instead of originally introduced quarks and that flavor symmetries including SU(N_f) remain unbroken. On the contrary to this description, we find that Nambu-Goldstone superfields, which dynamically appear as a result of flavor sysmmetry breaking, can represent the physical degrees of freedom. In specific examples based on SO(N_c) SUSY gauge theories for N_c-2〓N_f〓3(N_c-2)/2, we show that 1) our superpotentials are expressed in terms of mesons and baryonic configurations, which are indispensable to our approach; 2) the presence of flavor symmetry breaking is confirmed by the well-established instanton effects in SO(N_c) for N_f=N_c-2, which are also described by our superpotential; 3) our superpotentials exhibit a) the holomorphic decoupling property that SUSY physics with N_f-1 quarks is regulated by SUSY physics with N_f quarks with one inifmitely heavy and, therefore, decoupled quark and b) the anomaly-matching property, which provides the consistency condition on strongly coupled SUSY theories; 4) instanton effects, which appear when N_f-N_c+2 quarks become massive if N_f〓N_c-1, are correctly implemented.
東海大学の論文
2005-03-30