Limits on the Coupling Constant of Higher-Derivative Electromagnetism

Accioly, Antonio; Scatena, Eslley

doi:10.1142/s0217732310031610

Cited by 28 publications

(31 citation statements)

References 21 publications

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“…The Podolsky propagator contains two poles, one corresponding to the massless photon and the other one associated with the massive photon. At the classical level, the massive mode of the model has the advantage of curing divergences connected to the pointlike self-energy, but at the quantum level it is associated with the occurrence of ghosts [22]. The suitable gauge condition to address Podolsky's electrodynamics is not the usual Lorenz gauge, but a modified gauge relation [23], compatible with the existence of five degrees of freedom (two related to a massless photon and three related to the massive mode).…”

Section: Introductionmentioning

confidence: 99%

Maxwell electrodynamics modified by CPT -even and Lorentz-violating dimension-6 higher-derivative terms

et al. 2018

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In this paper, we investigate an electrodynamics in which the physical modes are coupled to a Lorentz-violating (LV) background by means of a higher-derivative term. We analyze the modes associated with the dispersion relations (DRs) obtained from the poles of the propagator. More specifically, we study Maxwell's electrodynamics modified by a LV operator of mass dimension 6. The modification has the form D βα ∂σF σβ ∂ λ F λα , i.e., it possesses two additional derivatives coupled to a CPT -even tensor D βα that plays the role of the fixed background. We first evaluate the propagator and obtain the dispersion relations of the theory. By doing so, we analyze some configurations of the fixed background and search for sectors where the energy is well-defined and causality is assured. A brief analysis of unitarity is included for particular configurations. Afterwards, we perform the same kind of analysis for a more general dimension-6 model. We conclude that the modes of both Lagrange densities are possibly plagued by physical problems, including causality and unitarity violation, and that signal propagation may become physically meaningful only in the high-momentum regime.

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Section: Introductionmentioning

confidence: 99%

Maxwell electrodynamics modified by CPT -even and Lorentz-violating dimension-6 higher-derivative terms

et al. 2018

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“…Theories of superior derivatives for the scalar field have been also considered in the literature, mainly after the proposal of the so-called Lee-Wick Standard Model (LWSM) [8][9][10][11][12][13][14][15][16][17][18][19][20].…”

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confidence: 99%

Point-charge self-energy in Lee-Wick theories

Barone

Flores-Hidalgo

Nogueira³

2015

Phys. Rev. D

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In this paper we study the ultraviolet and infrared behavior of the self-energy of a pointlike charge in the vector and scalar Lee-Wick electrodynamics in a d + 1 dimensional space time. It is shown that in the vector case, the self-energy is strictly ultraviolet finite up to <7 = 3 spatial dimensions, finite in the renormalized sense for any d odd, infrared divergent for <7 = 2, and ultraviolet divergent for <7 > 2 even. On the other hand, in the scalar case, the self-energy is striclty finite for d < 3, and finite, in the renormalized sense, for any d odd.One of the most remarkable features of the so-called LeeWick electrodynamics is the fact that this theory leads to a finite self-energy for a pointlike charge in 3 + 1 dimensions [1][2][3][4][5], what has important implications in the quantum context, mainly in what concerns the renormalizability of the theory [6,7]. Theories of superior derivatives for the scalar field have been also considered in the literature, mainly after the proposal of the so-called Lee-Wick Standard Model (LWSM) [8][9][10][11][12][13][14][15][16][17][18][19][20].Among other subjects concerning Lee-Wick electrody namics, in the work of Ref.[21] the self-energy of a pointlike charge in an arbitrary number of spatial dimen sions was discussed. The presented results were specula tive, not conclusive, and indicated that the pointlike particle self-energy is divergent for space dimensions higher than 3. That is an important subject in the context of theories with higher dimensions, in what concerns models with superior derivatives, because some well-known results of Lee-Wick theories, which are valid in 3 + 1 dimensions, are no longer applicable when the space has not 3 dime dimensions.In this paper we show that, by using dimensional regularization, the self-energy of a pointlike particle is finite when the space has an odd dimension and diverges when the space has an even dimension. We also consider the self-energy of a pointlike source for the Klein-GordonLee-Wick field, where there are two mass parameters involved.Let us start with the Lee-Wick electrodynamics. It is described by the Lagrangian density [4,5] C a = . _ p mv . ^1where .F is the vector external source, F^v =( 2)is the field strength, A1 * is the vector potential, and m is a parameter with mass dimension. The third term on the right-hand side of (1) was introduced in order to fix the gauge and £, is a gauge fixing parameter. The correspondingpropagator is [21] ( 3)The energy of the system due to the presence of the source is given by [21-23] Ea = lim -L [ dd+lxdd+xy J^x )D^(x ,y )J v{y). (4)T-*oo 1 1 J Now we take the source of a pointlike stationary charge A placed at position a in a d + 1 space-timewhere < 5 is the Dirac delta function in <7 dimensions.Replacing the above expression in Eq. (4) and perform ing the integrals in x°, p°, and y°, we have * / ddp "1 1 {2n)d p2 p2 + m2 A2m2 f dd p 1 J ( 2n)dP2(p2 -m 2) 1550-7998/2015/91(2)/027701 (4) 027701-1

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“…(20), which describes a particle of mass m = 1/ √ 2βc, widely discussed in [64]. Based on studies of the anomalous magnetic moment of the electron [66][67][68], the estimates that have been found were ( X i ) 0 ≤ 7. It is important to remember that, in our investigation, we have supposed the violation of the Lorentz symmetry to occur spontaneously, i.e., due only to the background tensors.…”

Section: Discussionmentioning

confidence: 99%

The SME gauge sector with minimum length

Belich

Louzada

2017

Eur. Phys. J. C

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We study the gauge sector of the Standard Model Extension (SME) with the Lorentz covariant deformed Heisenberg algebra associated to the minimum length. In order to find and estimate corrections, we clarify whether the violation of Lorentz symmetry and the existence of a minimum length are independent phenomena or are, in some way, related.With this goal, we analyze the dispersion relations of this theory.

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Limits on the Coupling Constant of Higher-Derivative Electromagnetism

Cited by 28 publications

References 21 publications

Maxwell electrodynamics modified by CPT -even and Lorentz-violating dimension-6 higher-derivative terms

Maxwell electrodynamics modified by CPT -even and Lorentz-violating dimension-6 higher-derivative terms

Point-charge self-energy in Lee-Wick theories

The SME gauge sector with minimum length

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