Supersymmetry breaking in the three-dimensional nonlinear sigma model

作者：Lehum A C^*; da Silva A J

来源：Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013, 88(6): 067702.

DOI：10.1103/PhysRevD.88.067702

In this work, we discuss the phase structure of a deformed N = 1 supersymmetric nonlinear sigma model in a three-dimensional space-time. The deformation is introduced by a term that breaks supersymmetry explicitly, through imposing a slightly different constraint to the fundamental superfields of the model. Using the tadpole method, we compute the effective potential at leading order in a 1/N expansion. From the gap equations, i.e., conditions that minimize the effective potential, we observe that this model presents two phases as the ordinary model, with two remarkable differences: 1) the fundamental fermionic field becomes massive in both phases of the model, which is closely related to the supersymmetry breaking term; 2) the O(N) symmetric phase presents a metastable vacuum.

• 出版日期2013-9-17