Exotic nonsupersymmetric gauge dynamics from supersymmetric QCD

Abstract

We extend Seiberg's qualitative picture of the behavior of supersymmetric QCD to nonsupersymmetric models by adding soft supersymmetry breaking terms. In this way, we recover the standard vacuum of QCD with N f flavors and N c colors when N f < N c . However, for N f ≥ N c , we find new exotic statesnew vacua with spontaneously broken baryon number for N f = N c , and a vacuum state with unbroken chiral symmetry for N f > N c . These exotic vacua contain massless composite fermions and, in some cases, dynamically generated gauge bosons. In particular Seiberg's electric-magnetic duality seems to persist also in the presence of (small) soft supersymmetry breaking. We argue that certain, specially tailored, lattice simulations may be able to detect the novel phenomena. Most of the exotic behavior does not survive the decoupling limit of large SUSY breaking parameters.

Softly Broken N=2 QCD With Massive Quark Hypermultiplets, I

“…Since so much information follows from the solution of the pure N = 2 one would like to be able to break N = 2 supersymmetry down to N = 0 in terms of a collection of soft breaking terms preserving all the holomorphy and monodromy properties which were crucial to determine the solutions in [3,4]. This was begun in [14,15] (for N = 1 similar soft breaking analysis was done in [12,13] to understand the implications of the non-perturbative superpotentials obtained by Seiberg and collaborators [1,2] in the absence of supersymmetry). In this paper we study the most general soft breakings in N = 2 QCD-like theories including massive hypermultiplets.…”

Softly Broken N = 2 QCD

“…The structure of soft supersymmetry breaking in N = 1 theories has been known for some time [8]. In [9,10] soft breaking terms are used to explore N = 1 supersymmetric QCD (SQCD) with gauge group SU(N c ) and N f flavours of quarks, and to extrapolate the exact results in [6] concerning the superpotential and the phase structure of these theories in the absence of supersymmetry. This leads to expected and unexpected predictions for non-supersymmetric theories which may eventually be accessible to lattice computations.…”

Hadron physics as Seiberg dual of QCD

“…Aharony et al first studied such deformations and found various interesting vacua which may or may not be connected to the QCD vacuum [4]. Later, Arkani-Hamed and Rattazzi have established relations among the soft terms in electric and magnetic descriptions [5].…”