External sources in Lee-Wick theories

Self Cite

This paper is dedicated to the study of interactions between external sources for the electromagnetic field in the presence of Lorentz symmetry breaking. We focus on a higher derivative, Lorentz violating interaction that arises from a specific model that was argued to lead to interesting effects in the low energy phenomenology of light pseudoscalars interacting with photons. The kind of higher derivative Lorentz violating interaction we discuss are called nonminimal. They are usually expected to be relevant only at very high energies, but we argue they might also induce relevant effects in low energy phenomena. Indeed, we show that the Lorentz violating background considered by us leads to several phenomena that have no counterpart in Maxwell theory, such as nontrivial torques on isolated electric dipoles, as well as nontrivial forces and torques between line currents and point like charges, as well as among Dirac strings and other electromagnetic sources.

Section: Point-like Chargesmentioning

confidence: 74%

“…This interaction does not occur in Maxwell electrodynamics, but it may emerge in theories with Lorentz violation [46], as well as in LI theories with higher order derivatives [50].…”

Section: A Steady Current Line and A Point-like Chargementioning

confidence: 99%

New effects in the interaction between electromagnetic sources mediated by nonminimal Lorentz violating interactions

Borges¹,

Ferrari²,

Barone³

2016

Self Cite

“…We can show that the interaction energy between a conducting surface and an external source J ν (x) is given by [36,37,[43][44][45][46][47][48]]…”

Section: Charge-plate Interactionmentioning

confidence: 99%

A perfectly conducting surface in electrodynamics with Lorentz symmetry breaking

Borges

Barone

2017

Self Cite

In this paper we consider a model which exhibits explicit Lorentz symmetry breaking due to the presence of a single background vector v μ coupled to the gauge field. We investigate such a theory in the vicinity of a perfectly conducting plate for different configurations of v μ . First we consider no restrictions on the components of the background vector and we treat it perturbatively up to second order. Next, we treat v μ exactly for two special cases: the first one is when it has only components parallel to the plate, and the second one when it has a single component perpendicular to the plate. For all these configurations, the propagator for the gauge field and the interaction force between the plate and a point-like electric charge are computed. Surprisingly, it is shown that the image method is valid in our model and we argue that it is a non-trivial result. We show there arises a torque on the mirror with respect to its positioning in the background field when it interacts with a point-like charge. It is a new effect with no counterpart in theories with Lorentz symmetry in the presence of a perfect mirror.

“…Since its proposal, the theory has been standing out by its classical as well as its quantum aspects, as it exhibits many interesting peculiarities. We can mention, for instance, the fact that in this electrodynamics the self-energy of a point charge is finite in 3 + 1 dimensions [7][8][9][10][11][12], a Dirac string can produce a magnetic field [7], it stem a finite theory closely related to the Pauli-Villars regularization scheme [5,8,[13][14][15][16][17][18] where the divergences of the quantum electrodynamics are controllable [19][20][21] and it exhibits classical dynamical stability [22]. These features have made the model a widely studied subject in a variety of scenarios, mainly regarding its extension to the Standard Model [14,16,18,[23][24][25][26][27][28][29][30][31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

A conducting surface in Lee–Wick electrodynamics

Barone

Nogueira²

2015

Self Cite

Lee-Wick electrodynamics in the vicinity of a conducting plate is investigated. The propagator for the gauge field is calculated and the interaction between the plate and a point-like electric charge is computed. The boundary condition imposed on the vector field is taken to be the one that makes, on the plate, the normal component of the dual field strength to the plate vanish. It is shown that the image method is not valid in Lee-Wick electrodynamics.