Superpropagators for explicitly broken 3D-supersymmetric theories

Abstract

A systematic algorithm to derive superpropagators in the case of either explicitly or spontaneously broken supersymmetric three-dimensional theories is presented. We discuss how the explicit breaking terms that are introduced at tree-level induce 1-loop radiative corrections to the effective action. We also point out that the renormalisation effects and the breaking-inducing-breaking mechanism become more immediate whenever we adopt the shifted superpropagators discussed in this letter.Comment: 6 pages, LaTex, references added. To appear in Phys.Lett.

Two-loop finiteness of self-energies in higher-derivative SQED 3

“…Here R i,αβ and S i,αβ constitute a basis in the gauge sector [7], while r i , s i , and C i are functions of the d'Alembertian operator = ∂ μ ∂ μ . Clearly, if one wants a local theory these functions have to be polynomials in .…”

Supersymmetry breaking in the three-dimensional nonlinear sigma model

“…Eliminating, from Eq. (22), all fields by the use of their equations of motion, except the fundamental field , to > 0, we find…”

“…A propagator presenting a similar form was obtained in [22]. See Supplemental Material [21] for details in obtaining the superfield propagator.…”

Dynamical (super)symmetry vacuum properties of the supersymmetric Chern-Simons-matter model

“…First, this gives rise to a mixing propagator between Å and A , and second, it changes the pure superpropagators for A and Å that the theory would have without the presence of the mixture. By carrying out all the algebraic operations involved in (15) and (16) through the projection operators method developed in [13] and recently enlarged (in the gauge sector) in [14], the superpropagators of the shifted theory can be written as…”

“…These were derived, in the ð; 2 Þ-linear approximation, by using the projection operator method developed in [13] and enlarged in [14].…”