Auxiliary Conditions and Electrostatic Interaction in Generalized Quantum Electrodynamics

Podolsky, Boris; Kikuchi, Chihiro

doi:10.1103/physrev.67.184

Cited by 47 publications

(24 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Higher derivative systems were once invoked in field theory to account for the ultraviolet divergences [2][3][4][5][6]. Later the initiative was stalled partly because of various difficulties in their formulation [7] and also due to emergence of the powerful techniques of renormalisation.…”

Section: Resultsmentioning

confidence: 99%

Gauge invariances of higher derivative Maxwell-Chern-Simons field theory: A new Hamiltonian approach

Mukherjee¹,

Paul²

2012

Phys. Rev. D

View full text Add to dashboard Cite

A new method of abstracting the independent gauge invariances of higher derivative systems, recently introduced in [1], has been applied to higher derivative field theories. This has been discussed taking the extended Maxwell-Chern-Simons model as an example. A new Hamiltonian analysis of the model is provided. This Hamiltonian analysis has been used to construct the independent gauge generator. An exact mapping between the Hamiltonian gauge transformations and the U(1) symmetries of the action has been established.

show abstract

Section: Resultsmentioning

confidence: 99%

Gauge invariances of higher derivative Maxwell-Chern-Simons field theory: A new Hamiltonian approach

Mukherjee¹,

Paul²

2012

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…The construction of regularized electrodynamics via the introduction of higher-order derivatives, was considered by Bopp [34], Landé [35][36][37], and Podolsky [38][39][40][41], a long time ago. Currently, this method is employed in the regularization of both gauge [42] and supersymmetric [43] theories; higher-order derivatives are also a common ingredient in string theory [44].…”

Section: Ghosts In Higher-derivative Theoriesmentioning

confidence: 99%

Interparticle potential energy forD-dimensional electromagnetic models from the corresponding scalar ones

et al. 2016

View full text Add to dashboard Cite

Using a method based on the generating functional plus a kind of "correspondence principle" -which acts as a bridge between the electromagnetic and scalar fields -it is shown that the interparticle potential energy concerning a given D-dimensional electromagnetic model can be obtained in a simple way from that related to the corresponding scalar system. The D-dimensional electromagnetic potential for a general model containing higher derivatives is then found from the corresponding scalar one and the behavior of the former is analyzed at large as well as small distances. In addition, we investigate the presence of ghosts in the four-dimensional version of the potential associated with the model above and analyze the reason why the Coulomb singularity is absent from this system. The no-go theorem by Ostrogradski is demystified as well.

show abstract

“…where a :=h √ 2β . Equation (26) is the Lagrangian density originally introduced by Podolsky [30][31][32][33], and a is called Podolsky's characteristic length [34][35][36][37][38]. The Euler-Lagrange equation for the Lagrangian density (25) is [39,40]…”

Section: Lagrangian Formulation Of Electrodynamics With An External Smentioning

confidence: 99%

“…The generalized Maxwell's equations (29)- (32) have been introduced earlier by Tkachuk in Ref. [23] with a different approach.…”

Section: Lagrangian Formulation Of Electrodynamics With An External Smentioning

confidence: 99%

Formulation of Electrodynamics with an External Source in the Presence of a Minimal Measurable Length

Moayedi

Setare

Khosropour

2013

Advances in High Energy Physics

View full text Add to dashboard Cite

In a series of papers, Quesne and Tkachuk (J. Phys. A: Math. Gen. 39, 10909 (2006); Czech. J. Phys. 56, 1269Phys. 56, (2006) presented a D + 1-dimensional (β, β ′ )-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal measurable length. In this paper, the Lagrangian formulation of electrodynamics in a 3+1-dimensional spacetime described by Quesne-Tkachuk algebra is studied in the special case β ′ = 2β up to first order over the deformation parameter β. It is demonstrated that at the classical level there is a similarity between electrodynamics in the presence of a minimal measurable length (generalized electrodynamics) and Lee-Wick electrodynamics. We obtain the free space solutions of the inhomogeneous Maxwell's equations in the presence of a minimal length. These solutions describe two vector particles (a massless vector particle and a massive vector particle). We estimate two different upper bounds on the isotropic minimal length. The first upper bound is near to the electroweak length scale (ℓ electroweak ∼ 10 −18 m), while the second one is near to the length scale for the strong interactions (ℓ strong ∼ 10 −15 m). The relationship between the Gaete-Spallucci nonlocal electrodynamics (J. Phys. A: Math. Theor. 45, 065401 (2012)) and electrodynamics with a minimal length is investigated.

show abstract

Auxiliary Conditions and Electrostatic Interaction in Generalized Quantum Electrodynamics

Cited by 47 publications

References 2 publications

Gauge invariances of higher derivative Maxwell-Chern-Simons field theory: A new Hamiltonian approach

Gauge invariances of higher derivative Maxwell-Chern-Simons field theory: A new Hamiltonian approach

Interparticle potential energy forD-dimensional electromagnetic models from the corresponding scalar ones

Formulation of Electrodynamics with an External Source in the Presence of a Minimal Measurable Length

Contact Info

Product

Resources

About