The one‐loop effective action of the supersymmetric CP(N‐1) model

Abstract

Ahst,ract :Using superfields we evaluate the superspace one-loop effective action for the supersymmetric C P ( 9 -1) model and investigate whether there is supersymmetry breaking and confinement.

On the N = 2 supersymmetric σ model and Chern-Simons terms

“…where Λ is a chiral gauge function. Alternatively the action can be written in terms of N = 1 superfields by supersymmetrizing the bosonic model in much the same way as the O(N ) supersymmetric σ model is constructed from the bosonic model, [3,15,16,18,40]. Therefore introducing N = 1 superfields Φ, Φ, Λ and A α , where the first two are complex and the remaining ones real with the latter a spinor, then the action is, [3,18],…”

“…The presence of such a term would mean that to determine the (perturbative) A µ propagator from (2.6) one would have to introduce a gauge fixing term first and proceed in a well known formalism. In the bosonic and supersymmetric models such a term is in fact generated dynamically through particle anti-particle bubble corrections to the A µ field where one computes the effective action in the true non-perturbative mass generating vacuum, [2,3,14,15,16]. Moreover, the kinetic term that emerges is in the form associated with the Landau gauge.…”

“…Another feature is the generation of masses through dynamical symmetry breaking. Moreover, this mass is non-perturbative in nature ie non-analytic in the coupling and can only be accessed via non-perturbative techniques such as the large N expansion, [2,3,[14][15][16]. Interestingly an exact expression for this mass has recently been deduced in [17] from the exact S-matrix and expressed in terms of Λ MS .…”

“…Interestingly an exact expression for this mass has recently been deduced in [17] from the exact S-matrix and expressed in terms of Λ MS . Indeed many authors have analysed the model in large N to reveal this rich structure either in a manifestly supersymmetric formulation involving superfields, [14,15,16], or for the component lagrangian, [2,3]. However, in the latter approach the choice of Wess Zumino gauge in defining superfield components leads to a lagrangian where supersymmetry is broken, though supersymmetric (and gauge independent) results can still be deduced.…”

Teoria das supercordas - o limiar de uma nova física teórica

“…The detailed computation of W 1 and W 2 depends on the normalization of the current. In fact, one expects that one of the supersymmetry currents be conserved, since the model can be formulated in an explicitely supersymmetric fashion 19 .…”