Emergent electrodynamics from the Nambu model for spontaneous Lorentz symmetry breaking

Franca, O. J.; Montemayor, R.; Urrutia, L. F.

doi:10.1103/physrevd.85.085008

Cited by 18 publications

(50 citation statements)

References 25 publications

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“…This constraint in the gauge invariant QED framework was first studied by Nambu a long ago [23], and in more detail in recent years [24][25][26][27][28]. The constraint (2) is in fact very similar to the constraint appearing in the nonlinear σ -model for pions [29], σ 2 + π 2 = f 2 π , where f π is the pion decay constant.…”

Section: Vector Ng Bosons In Gauge Theories Inactive Slivmentioning

confidence: 86%

“…Otherwise, as was shown in [30] (see also [27]), it might be problematic to have a ghost-free QED model with a positive Hamiltonian. 1 One way or the other, the constraint (2) means in essence that the vector field A μ develops the VEV (1) and Lorentz symmetry SO (1,3) breaks down to SO (3) or SO (1,2), depending on whether the unit vector n μ is time-like (n 2 > 0) or space-like (n 2 < 0).…”

Section: Vector Ng Bosons In Gauge Theories Inactive Slivmentioning

confidence: 95%

“…One can easily confirm that they eliminate most component fields in the superfield V (x, θ, θ) including the physical photon and photino fields, which is definitely inadmissible. As to the appropriate non-minimal high linear multiplier forms, they basically lead to the same consequences as follow from the minimal multiplier term taken in the total Lagrangian (27).…”

Section: Stabilization Of Vacuum By Constraining Vector Superfieldmentioning

confidence: 95%

“…In essence, we try to extend to their supersymmetric analogs the emergent gauge theories with SLIV and the associated emergence of gauge bosons as massless vector Nambu-Goldstone modes studied earlier [6][7][8][9][10][11][12] (see also [24][25][26][27][28]). Generally speaking, it may turn out that SLIV is not the only reason why massless photons could dynamically appear, if spacetime symmetry is further enlarged.…”

Section: Lorentz Violation and Supersymmetry The Present Papermentioning

confidence: 99%

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Photon and photino as Nambu–Goldstone zero modes in an emergent SUSY QED

Chkareuli

2014

Eur. Phys. J. C

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We argue that supersymmetry with its wellknown advantages, such as naturalness, grand unification, and dark matter candidate seems to possess one more attractive feature: it may trigger, through its own spontaneous violation in the visible sector, a dynamical generation of gauge fields as massless Nambu-Goldstone modes during which physical Lorentz invariance itself is ultimately preserved. We consider the supersymmetric QED model extended by an arbitrary polynomial potential of a massive vector superfield that breaks gauge invariance in the SUSY invariant phase. However, the requirement of vacuum stability in such a class of models renders both supersymmetry and Lorentz invariance spontaneously broken. As a consequence, the massless photino and photon appear as the corresponding NambuGoldstone zero modes in the emergent SUSY QED, and also a special gauge invariance is simultaneously generated. Due to this invariance all observable relativistically non-invariant effects appear to be completely canceled out among themselves and physical Lorentz invariance is recovered. Nevertheless, such theories may have an inevitable observational evidence in terms of the goldstino-photino like state present in the low-energy particle spectrum. Its study is of special interest for this class of SUSY models, which, apart from some indications of the emergence nature of QED and the Standard Model, may appreciably extend the scope of SUSY breaking physics being actively studied in recent years.

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Section: Vector Ng Bosons In Gauge Theories Inactive Slivmentioning

confidence: 86%

Section: Vector Ng Bosons In Gauge Theories Inactive Slivmentioning

confidence: 95%

Section: Stabilization Of Vacuum By Constraining Vector Superfieldmentioning

confidence: 95%

Section: Lorentz Violation and Supersymmetry The Present Papermentioning

confidence: 99%

See 2 more Smart Citations

Photon and photino as Nambu–Goldstone zero modes in an emergent SUSY QED

Chkareuli

2014

Eur. Phys. J. C

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“…Theories with a vector field and a potential of this type that induces spontaneous Lorentz violation are known as bumblebee models [5,15,64,65,66,67,68,69,71,70,72,73,74,75,76]. A defining feature of these theories is that they do not have local U(1) gauge invariance.…”

Section: Spontaneous Lorentz Violationmentioning

confidence: 99%

Observational Constraints on Local Lorentz Invariance

Bluhm

2014

Springer Handbooks

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The idea that local Lorentz invariance might be violated due to new physics that goes beyond the Standard Model of particle physics and Einstein's General Relativity has received a great deal of interest in recent years. At the same time, new experiments have been designed and conducted that are able to test Lorentz symmetry at unprecedented levels. Much of this theoretical and experimental progress has been driven by the development of the framework for investigating Lorentz violation known as the Standard Model Extension (SME). The SME is the lagrangian-based effective field theory that by definition contains all Lorentz-violating interaction terms that can be written as observer scalars involving particle fields in the Standard Model and gravitational fields in a generalized theory of gravity. This includes all terms that could arise from a process of spontaneous Lorentz violation as well as terms that explicitly break Lorentz symmetry. In this article, an overview of the SME is presented, including its motivations and construction. A very useful minimal version of the SME in Minkowski spacetime that maintains gauge invariance and power-counting renormalizability is constructed as well. Data tables summarizing tests of local Lorentz invariance for the different particle sectors in the Standard Model and with gravity are maintained by Kostelecký's group at Indiana University. A partial survey of these tests, including some of the high-precision sensitivities they attain, is presented here.

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Emergent gauge theories and supersymmetry: A QED primer

Chkareuli

2013

Physics Letters B

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We argue that a generic trigger for photon and other gauge fields to emerge as massless Nambu-Goldstone modes could be spontaneously broken supersymmetry rather than physically manifested Lorentz violation. We consider supersymmetric QED model extended by an arbitrary polynomial potential of vector superfield that induces the spontaneous SUSY violation in the visible sector. As a consequence, massless photon appears as a companion of massless photino being Goldstone fermion state in tree approximation. Remarkably, the photon masslessness appearing at tree level is further protected against radiative corrections due to the simultaneously generated special gauge invariance in the broken SUSY phase. Meanwhile, photino being mixed with another goldstino appearing from a spontaneous SUSY violation in the hidden sector largely turns into light pseudo-goldstino whose physics seems to be of special interest.

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Emergent electrodynamics from the Nambu model for spontaneous Lorentz symmetry breaking

Cited by 18 publications

References 25 publications

Photon and photino as Nambu–Goldstone zero modes in an emergent SUSY QED

Photon and photino as Nambu–Goldstone zero modes in an emergent SUSY QED

Observational Constraints on Local Lorentz Invariance

Emergent gauge theories and supersymmetry: A QED primer

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