Kink Confinement and Supersymmetry

Abstract

We analyze non-integrable deformations of two-dimensional N=1 supersymmetric quantum field theories with kink excitations. As example, we consider the multi-frequency Super Sine Gordon model. At weak coupling, this model is robust with respect to kink confinement phenomena, in contrast to the purely bosonic case. If we vary the coupling, the model presents a sequence of phase transitions, where pairs of kinks disappear from the spectrum. The phase transitions fall into two classes: the first presents the critical behaviors of the Tricritical Ising model, the second instead those of the gaussian model. In the first case, close to the critical point, the model has metastable vacua, with a spontaneously supersymmetry breaking. When the life-time of the metastable vacua is sufficiently long, the role of goldstino is given by the massless Majorana fermion of the Ising model. On the contrary, supersymmetry remains exact in the phase transition of the second type.

29 pages, 12 figures

References in corpus (3)

• Dynamical SUSY Breaking in Meta-Stable Vacua
• Neutral Bound States in Kink-like Theories
• Exact finite size spectrum in super sine-Gordon model

Cited by in corpus (9)

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• Fractons from confinement in one dimension
• The particle spectrum of the Tricritical Ising Model with spin reversal symmetric perturbations
• Two-kink bound states in the magnetically perturbed Potts field theory at T<Tc
• Non Relativistic Limit of Integrable QFT with fermionic excitations
• Radiative corrections to the quark masses in the ferromagnetic Ising and Potts field theories
• Novel results for kinklike structures and their connections to quantum mechanics
• Bound States of Majorana Fermions in Semi-classical Approximation
• Precision test of the SM with Kl2 and Kl3 decays at KLOE