Abstract
We consider the higher-derivative Lorentz-breaking extension of QED, where the new terms are the Myers-Pospelov-like ones in gauge and spinor sectors, and the higher--derivative CFJ term. For this theory, we study its tree-level dynamics, discuss the dispersion relation, and present one more scheme for its perturbative generation, including the finite temperature case. Also, we develop a method to study perturbative unitarity based on consistent rotation of the theory to Euclidean space. We use this method to verify explicitly that for special choices of the Lorentz-breaking vector, the unitarity is preserved at the one-loop level, even in the presence of higher time derivatives.
Highlights
Formulation of the Lorentz-breaking extension of the standard model called attention to studies of Lorentzbreaking extensions for many field theory models and, first of all, for QED [1]
We consider the higher-derivative Lorentz-breaking extension of QED, where the new terms are the Myers-Pospelov-like ones in gauge and spinor sectors, and the higher–derivative Carroll-Field-Jackiw term
We study its tree-level dynamics, discuss the dispersion relation, and present one more scheme for its perturbative generation, including the finite-temperature case
Summary
Formulation of the Lorentz-breaking extension of the standard model called attention to studies of Lorentzbreaking extensions for many field theory models and, first of all, for QED [1]. Among the most important directions of their study, one can emphasize searches of exact solutions, canonical quantization, and calculations of quantum corrections These studies have allowed us to put strong bounds on Lorentz-violating quantum field theory models [2]. Within this context, an important role is naturally played by higher-derivative Lorentz-breaking extensions of QED. One naturally faces a problem of studying different issues related to higher-derivative Lorentz-breaking extensions of QED. In this paper, we introduce the higherderivative terms in the gauge sector and discuss the impacts of higher derivatives for the propagator and unitarity.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
