Higher-derivative supersymmetric gauge theory

Abstract

We study the one-loop low-energy effective action for the higher-derivative superfield gauge theory coupled to a chiral matter. I. INTRODUCTIONThe use of higher-derivatives has been proposed as a way to tame the ultraviolet behavior of physically relevant models. Actually, a finite version of QED was put forward by Lee and Wick about fourty years ago [1]; that proposal was nevertheless beset by the presence of spurious degrees of freedom which induce indefinite metric in the space of states jeopardizing unitarity and so required special treatment. After a long story, recently the idea was revived in the so-called Lee-Wick standard model leading to some new insights in the hierachy problem [2]. Furthermore, following a similar thread, higher-curvature gravitational models were considered; in spite of the possible breaking of unitarity, they furnish renormalizable quantum gravity models [3] which may be useful for cosmological applications (for recent review work in this direction see [4]).In supersymmetric models, a higher-derivative regularization method was proposed in [5].Further, interest in the higher-derivative supersymmetric field theories increased not only due to their application within the regularization context (see [6] for many examples) but also in other contexts. For example, the higher-derivative supergravity model, which, in the *

Decoupling of heavy states in higher-derivative supersymmetric field theories

“…However, up to now, the only models studied in this manner involve higher derivatives in the gauge sector [18]. Another direction for future studies should involve a more general and systematic study of Lorentz-breaking supersymmetric theories, in particular more generic models for chiral matter, e.g., Lorentz-breaking extensions of models discussed in [5], as well as superfield analogues of the models discussed in [16].…”

Batalin-Fradkin-Vilkovisky quantization of the generalized scalar electrodynamics

“…Therefore, by computing {Ψ, Q BRST } and substituting its resulting expression into (10), and then carrying out the momenta and field variables integral, one finds the following expression for the transitionamplitude:…”

Renormalizability of generalized quantum electrodynamics

“…However, it was soon recognized that they have a Hamiltonian which is not bounded from below [4] and that the addition of such terms leads to the existence of negative norm states (or ghosts states) -induces an indefinite metric in the space of states -jeopardizing thus the unitarity [5]. Despite the fact that many attempts to overcome these ghost states have been proposed, no one has been able to give a general method to deal with them [6,7,8]. In fact, in conventional gauge theories the gauge-fixing term, the Faddeev-Popov-De Witt ghosts, and the original Lagrangian density are invariant under BRST symmetry.…”