How Can One Probe Podolsky Electrodynamics?

Cuzinatto, R. R.; Melo, C. A. M. de; Medeiros, L. G.; Pompeia, P. J.

doi:10.1142/s0217751x11053961

Cited by 48 publications

(48 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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].…”

mentioning

confidence: 99%

Point-charge self-energy in Lee-Wick theories

Barone

Flores-Hidalgo

Nogueira³

2015

Phys. Rev. D

View full text Add to dashboard Cite

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superior derivatives, because some well-known results of Lee-Wick theories, which are valid in 3 + 1 dimensions, are no longer applicable when the space has not 3 dime dimensions.In this paper we show that, by using dimensional regularization, the self-energy of a pointlike particle is finite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

show abstract

mentioning

confidence: 99%

Point-charge self-energy in Lee-Wick theories

Barone

Flores-Hidalgo

Nogueira³

2015

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…It is important to look for the validity interval dictated by the constraints (7). For the electrostatic case E 1 < b, which is in agreement with the role that the constant b lays.…”

Section: Born-infeld Lagrangianmentioning

confidence: 58%

“…Nevertheless, alternatives and extensions of Maxwell electrodynamics have been proposed since its creation in the second half of the nineteenth century. The motivations for proposing these extensions are quite diverse and include the problem of divergence for the classical Coulomb potential [2][3][4], experimental constrains for the photon mass [5][6][7][8], the classic study of vacuum polarization effects [9][10][11], modifications on electrodynamic in the context of branes [12], etc.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of a photon gas in nonlinear electrodynamics

Akmansoy

Medeiros

2014

Physics Letters B

View full text Add to dashboard Cite

In this paper we analyze the thermodynamic properties of a photon gas under the influence of a background electromagnetic field in the context of any nonlinear electrodynamics. Neglecting the selfinteraction of photons, we obtain a general expression for the grand canonical potential. Particularizing for the case when the background field is uniform, we determine the pressure and the energy density for the photon gas. Although the pressure and the energy density change when compared with the standard case, the relationship between them remains unaltered, namely ρ = 3p. Finally, we apply the developed formulation to the cases of Heisenberg-Euler and Born-Infeld nonlinear electrodynamics. For the Heisenberg-Euler case, we show that our formalism recovers the results obtained with the 2-loop thermal effective action approach.

show abstract

“…Note that the positive sign in the second term allows the factor 1 a to be interpreted as a mass parameter [35,36]. We consider the metric to have signature (+, −, −, −).…”

Section: Podolsky Electrodynamics In Curved Space-timementioning

confidence: 99%

Bopp–Podolsky black holes and the no-hair theorem

et al. 2018

Self Cite

View full text Add to dashboard Cite

Bopp-Podolsky electrodynamics is generalized to curved space-times. The equations of motion are written for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein's method. It is shown that the solutions split up into two parts, namely a non-homogeneous (asymptotically massless) regime and a homogeneous (asymptotically massive) sector which is null outside the event horizon. In addition, in the simplest approach to Bopp-Podolsky black holes, the non-homogeneous solutions are found to be Maxwell's solutions leading to a Reissner-Nordström black hole. It is also demonstrated that the only exterior solution consistent with the weak and null energy conditions is the Maxwell one. Thus, in the light of the energy conditions, it is concluded that only Maxwell modes propagate outside the horizon and, therefore, the no-hair theorem is satisfied in the case of BoppPodolsky fields in spherically symmetric space-times.

show abstract

How Can One Probe Podolsky Electrodynamics?

Cited by 48 publications

References 26 publications

Point-charge self-energy in Lee-Wick theories

Point-charge self-energy in Lee-Wick theories

Thermodynamics of a photon gas in nonlinear electrodynamics

Bopp–Podolsky black holes and the no-hair theorem

Contact Info

Product

Resources

About