Nonlinear QED and physical Lorentz invariance

Azatov, Aleksandr; Chkareuli, J.L.

doi:10.1103/physrevd.73.065026

Cited by 51 publications

(121 citation statements)

References 24 publications

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“…So, SLIV is shown to be superficial as it affects only the gauge of the vector potential A μ at least in the tree approximation [17]. Some time ago, this result was extended to the one-loop approximation and for both the timelike (n 2 > 0) and spacelike (n 2 < 0) Lorentz violation [19]. All the contributions to the photon-photon, photon-fermion and fermionfermion interactions violating physical Lorentz invariance were shown to exactly cancel among themselves in the manner observed long ago by Nambu for the simplest tree-order diagrams.…”

Section: Introductionmentioning

confidence: 92%

“…All Lorentz violation effects turn out again to be strictly cancelled among themselves at least in the lowest order SLIV processes in the electrogravity theory. Thus, similar to emergent vector field theories, both Abelian [17,19,20] and non-Abelian [21], as well as in the pure tensor-field gravity [15,16], such a cancellation may only mean that at least in the lowest approximation the SLIV constraints (1, 7) amount to a special gauge choice in the otherwise diff and Lorentz invariant emergent electrogravity theory presented here.…”

Section: Preamblementioning

confidence: 99%

“…For simplicity, both in the above Lagrangians and in forthcoming calculations, we continue to use the tracelessness of the VEV tensor n μν (19), while our results remain true for any type of vacuum configuration caused by SLIV.…”

Section: Preamblementioning

confidence: 99%

“…Putting then the parameterization (21) into the total Lagrangian L(H, A) given in (9), (10), and 12), one arrives at the truly emergent tensor-field gravity Lagrangian L(h, A), containing an infinite series in powers of the h μν modes. For the traceless VEV tensor n μν (19) it takes, without loss of generality, the especially simple form…”

Section: Tensor-field Gravitymentioning

confidence: 99%

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Lorentzian Goldstone modes shared among photons and gravitons

2018

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It has long been known that photons and gravitons may appear as vector and tensor Goldstone modes caused by spontaneous Lorentz invariance violation (SLIV). Usually this approach is considered for photons and gravitons separately. We develop the emergent electrogravity theory consisting of the ordinary QED and the tensor-field gravity model which mimics the linearized general relativity in Minkowski spacetime. In this theory, Lorentz symmetry appears incorporated into higher global symmetries of the length-fixing constraints put on the vector and tensor fields involved, A 2 μ = ±M 2 A and H 2 μν = ±M 2 H (M A and M H are the proposed symmetry breaking scales). We show that such a SLIV pattern being related to breaking of global symmetries underlying these constraints induces the massless Goldstone and pseudo-Goldstone modes shared by photon and graviton. While for a vector field case the symmetry of the constraint coincides with Lorentz symmetry SO(1, 3) of the electrogravity Lagrangian, the tensor-field constraint itself possesses much higher global symmetry SO(7, 3), whose spontaneous violation provides a sufficient number of zero modes collected in a graviton. Accordingly, while the photon may only contain true Goldstone modes, the graviton appears at least partially to be composed of pseudo-Goldstone modes rather than of pure Goldstone ones. When expressed in terms of these modes, the theory looks essentially nonlinear and contains a variety of Lorentz and CPT violating couplings. However, all SLIV effects turn out to be strictly cancelled in the lowest order processes considered in some detail. How this emergent electrogravity theory could be observationally different from conventional QED and GR theories is also briefly discussed.

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Section: Introductionmentioning

confidence: 92%

Section: Preamblementioning

confidence: 99%

Section: Preamblementioning

confidence: 99%

Section: Tensor-field Gravitymentioning

confidence: 99%

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Lorentzian Goldstone modes shared among photons and gravitons

2018

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“…Spontaneous Lorentz symmetry breaking (SLSB) also has attracted attention in some phenomenological models which propose interesting explanations for gauge bosons. In the Abelian Nambu model [6][7][8], photon is emergent as the Nambu-Goldstone (NG) boson of SLSB and this model has been proved to be equivalent to the standard QED at tree [6], one-loop [7], and all loop orders in perturbation theory [8]. Non-abelian gauge bosons can also be emergent as NG bosons of SLSB [9,10].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous breaking of (2 + 1)-dimensional Lorentz symmetry by an antisymmetric tensor

et al. 2018

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One kind of spontaneous (2+1)-dimensional Lorentz symmetry breaking is discussed. The symmetry breaking pattern is SO(2, 1) → SO(1, 1). Using the coset construction formalism, we derive the Goldstone covariant derivative and the associated covariant gauge field. Finally, the twoderivative low-energy effective action of the Nambu-Goldstone bosons is obtained. * Electronic address: huangjh@m.scnu.edu.cn

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Constrained gauge fields from spontaneous Lorentz violation

et al. 2008

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Spontaneous Lorentz violation realized through a nonlinear vector field constraint of the type A µ A µ = M 2 (M is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the starting global internal symmetries in arbitrary relativistically invariant theories. The gauge invariance appears in essence as a necessary condition for these bosons not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in a theory is chosen by the Lorentz violation. In the Abelian symmetry case the only possible theory proves to be QED with a massless vector Goldstone boson naturally associated with the photon, while the non-Abelian symmetry case results in a conventional Yang-Mills theory. These theories, both Abelian and non-Abelian, look essentially nonlinear and contain particular Lorentz (and CP T ) violating couplings when expressed in terms of the pure Goldstone vector modes. However, they do not lead to physical Lorentz violation due to the simultaneously generated gauge invariance.

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Nonlinear QED and physical Lorentz invariance

Cited by 51 publications

References 24 publications

Lorentzian Goldstone modes shared among photons and gravitons

Lorentzian Goldstone modes shared among photons and gravitons

Spontaneous breaking of (2 + 1)-dimensional Lorentz symmetry by an antisymmetric tensor

Constrained gauge fields from spontaneous Lorentz violation

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