Constrained gauge fields from spontaneous Lorentz violation

Chkareuli, J.L.; Froggatt, C.D.; Jejelava, J.; Nielsen, Holger Frits Bech

doi:10.1016/j.nuclphysb.2007.12.006

Cited by 34 publications

(59 citation statements)

References 38 publications

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“…However, as was shown in the tree [30] and one-loop [31] approximations, there is no physical Lorentz violation in the emergent QED for any mass value M in the vector field constraint (3). Later this result was also confirmed for many other gauge theories with the supplementary vector field constraints, such as the spontaneously broken massive QED [32], non-Abelian theory [33,34], tensor field gravity [26] and also their supersymmetric extensions [15]. So, in contrast to a spontaneous violation of internal symmetries, SLIV caused by the length-preserving constraint does not necessarily imply a physical breakdown of Lorentz invariance.…”

Section: A a Qed Primermentioning

confidence: 65%

“…Expanding the effective Higgs field H (27) in powers of a 2 /M 2 in the Lagrangian (32), one comes to highly nonlinear theory in terms of the zero vector modes a p µ which contains many the properly suppressed Lorentz violating couplings. However, as in the Abelian symmetry case, they do not lead to physical Lorentz violation effects which turn out to be strictly cancelled among themselves [33,34].…”

Section: B Yang-mills Theoriesmentioning

confidence: 89%

“…As was argued in [33,34], side by side with one true vector Goldstone boson corresponding to the spontaneous violation of the actual SO(1, 3) ⊗ G symmetry of the Lagrangian L em (A µ , ψ, λ), the N − 1 pseudo-Goldstone vector bosons (PGB) related to the breakings (24,25) of the accidental symmetry SO(N, 3N ) of the constraint (18) per se are also produced 7 . Remarkably, in contrast to the familiar scalar PGB case [16], the vector PGBs remain strictly massless being protected by the simultaneously generated non-Abelian gauge invariance.…”

Section: B Yang-mills Theoriesmentioning

confidence: 95%

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Poincaré gauge gravity: An emergent scenario

Chkareuli

2017

Phys. Rev. D

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The Poincaré gauge gravity (PGG) with the underlying vector fields of tetrads and spinconnections is perhaps the best theory candidate for gravitation to be unified with the other three elementary forces of nature. There is a clear analogy between local frame in PGG and local internal symmetry space in the Standard Model. As a result, the spin-connection fields, gauging the local frame Lorentz symmetry group SO(1, 3)LF , appear in PGG much as photons and gluons appear in SM. We propose that such an analogy may follow from their common emergent nature allowing to derive PGG in the same way as conventional gauge theories. In essence, we start with an arbitrary theory of some vector and fermion fields which possesses only global spacetime symmetries, such as Lorentz and translational invariance, in flat Minkowski space. The two vector field multiplets involved are proposed to belong, respectively, to the adjoint (A e , thus causing a spontaneous violation of the accompanying global symmetries (MA,e are their proposed violation scales), then the only possible theory compatible with these length-preserving constraints is turned out to be the gauge invariant PGG, while the corresponding massless (pseudo)Goldstone modes are naturally collected in the emergent gauge fields of tetrads and spin-connections. In a minimal theory case being linear in a curvature we unavoidably come to the Einstein-Cartan theory. The extended theories with propagating spinconnection and tetrad modes are also considered and their possible unification with the Standard Model is briefly discussed.

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Section: A a Qed Primermentioning

confidence: 65%

Section: B Yang-mills Theoriesmentioning

confidence: 89%

Section: B Yang-mills Theoriesmentioning

confidence: 95%

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Poincaré gauge gravity: An emergent scenario

Chkareuli

2017

Phys. Rev. D

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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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“…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

Cited by 34 publications

References 38 publications

Poincaré gauge gravity: An emergent scenario

Poincaré gauge gravity: An emergent scenario

Observational Constraints on Local Lorentz Invariance

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

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