Spontaneously generated gauge invariance

Chkareuli, J.L.; Froggatt, C.D.; Nielsen, H.B.

doi:10.1016/s0550-3213(01)00283-8

Cited by 29 publications

(23 citation statements)

References 20 publications

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“…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%

“…7 The complex S field is now taken in a real basis, S 1 = (S + S * )/ √ 2 and S 2 = (S − S * )/i √ 2, so that the "vector" B field has one time and five space components. As a result, one finally comes to the following Hessian 7 × 7 matrix [being in fact the secondorder partial derivatives matrix taken in the extremum point (C 0 , A μ0 , S 0 ) (20)]:…”

Section: Instability Of Superfield Polynomial Potentialmentioning

confidence: 99%

“…This old idea [3][4][5], supported by a close analogy with the dynamical origin of massless particle excitations for spontaneously broken internal symmetries, has gained new impetus in recent years. On the other hand, besides its generic implication for the possible origin of physical gauge fields [6][7][8][9][10][11][12] in a conventional quantum field theory (QFT) framework, there are many different contexts in the literature where Lorentz violation may stem itself from string theory [13,14], quantum gravity [15] or any unspecified dynamics at an ultraviolet scale perhaps related to the Planck scale [16][17][18][19][20][21][22]. Though we are mainly focused on the spontaneous Lorentz violation in QFT, particularly in QED and the Standard Model, we give below some brief comments on other approaches and we make clearer the aims and results of the present work.…”

Section: Introduction and Overviewmentioning

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: Lorentz Violation and Supersymmetry The Present Papermentioning

confidence: 99%

Section: Instability Of Superfield Polynomial Potentialmentioning

confidence: 99%

Section: Introduction and Overviewmentioning

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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“…[50]. Another option might be to disregard J M altogether and allow couplings between the matter and bumblebee fields only through gravity.…”

Section: Bumblebee Currentsmentioning

confidence: 99%

Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity

2008

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Theories with spontaneous local Lorentz and diffeomorphism violation contain massless NambuGoldstone modes, which arise as field excitations in the minimum of the symmetry-breaking potential. If the shape of the potential also allows excitations above the minimum, then an alternative gravitational Higgs mechanism can occur in which massive modes involving the metric appear. The origin and basic properties of the massive modes are addressed in the general context involving an arbitrary tensor vacuum value. Special attention is given to the case of bumblebee models, which are gravitationally coupled vector theories with spontaneous local Lorentz and diffeomorphism violation. Mode expansions are presented in both local and spacetime frames, revealing the Nambu-Goldstone and massive modes via decomposition of the metric and bumblebee fields, and the associated symmetry properties and gauge fixing are discussed. The class of bumblebee models with kinetic terms of the Maxwell form is used as a focus for more detailed study. The nature of the associated conservation laws and the interpretation as a candidate alternative to Einstein-Maxwell theory are investigated. Explicit examples involving smooth and Lagrange-multiplier potentials are studied to illustrate features of the massive modes, including their origin, nature, dispersion laws, and effects on gravitational interactions. In the weak static limit, the massive mode and Lagrange-multiplier fields are found to modify the Newton and Coulomb potentials. The nature and implications of these modifications are examined.

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“…The Maxwell form of the kinetic part of B µ can be justified by energy considerations [8] without recourse to a gauge invariance principle. The self-interaction in this "bumblebee" model triggers a Lorentz and CPT-violating VEV B µ = β µ .…”

Section: Introductionmentioning

confidence: 99%

Dynamical Lorentz andCPTsymmetry breaking in a 4D four-fermion model

et al. 2008

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In a 4D chiral Thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral currentψγ µ γ 5 ψ may assume a nonzero vacuum expectation value which triggers Lorentz and CPT violations. Furthermore, by making fluctuations on the minimum of the potential we dynamically induce a bumblebee like model containing a Chern-Simons term. * Electronic address: mgomes,ajsilva,tmariz,jroberto@fma.if.usp.br

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Spontaneously generated gauge invariance

Cited by 29 publications

References 20 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

Spontaneous Lorentz and diffeomorphism violation, massive modes, and gravity

Dynamical Lorentz andCPTsymmetry breaking in a 4D four-fermion model

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