Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the standard model extension

Schreck, Marco

doi:10.1103/physrevd.93.105017

Cited by 53 publications

(49 citation statements)

References 177 publications

(356 reference statements)

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“…A simpler class of VGR Berwald spacetimes can be found from the next theorem for general (A, B)-Finsler spacetimes, which we prove in Appendix B. Note that the existence of such a theorem, which we proved now, was conjectured in [40] on the basis of numerical calculations. Moreover similar results for Randers spaces have been known for a long time [41][42][43][44], and more recently for Finsler b-spaces in the context of Lorentz-violating extensions of the Standard Model [45].…”

Section: B Vgr Berwald Spacetimesmentioning

confidence: 59%

“…Finsler geometry immediately emerges in the context of modified dispersion relations. These may for example arise from an effective description of Planck scale quantum gravity effects [14,58,59], or from field theories with field equations not (solely) defined by a Lorentzian metric [33,34,40,[60][61][62]. Part of the motivation for this work lies in a particular instance of the latter, the very special relativity (VSR) framework by Cohen and Glashow [5].…”

Section: Discussionmentioning

confidence: 99%

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Berwald spacetimes and very special relativity

2018

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In this work we study Berwald spacetimes and their vacuum dynamics, where the latter are based on a Finsler generalization of the Einstein's equations derived from an action on the unit tangent bundle. In particular, we consider a specific class of spacetimes which are non-flat generalizations of the very special relativity (VSR) line element, to which we refer as very general relativity (VGR). We derive necessary and sufficient conditions for the VGR line element to be of Berwald type. We present two novel examples with the corresponding vacuum field equations: a Finslerian generalization of vanishing scalar invariant (VSI) spacetimes in Einstein's gravity as well as the most general homogeneous and isotropic VGR spacetime.

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Section: B Vgr Berwald Spacetimesmentioning

confidence: 59%

Section: Discussionmentioning

confidence: 99%

Berwald spacetimes and very special relativity

2018

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“…Note in particular that existing limits on d = 5 operators in the photon sector lie far below DIS sensitivities [9,48]. Also, while precision studies of d = 5 operators in the electron sector are less broadly constrained [9,49,50], they nonetheless also lie below the DIS sensitivities estimated below. In contrast, in the d = 5 proton sector the coefficients a (5)µαβ p are only partially bounded [50], and the existing DIS sensitivities are roughly comparable to those estimated below.…”

Section: Setupmentioning

confidence: 80%

Gauge field theories with Lorentz-violating operators of arbitrary dimension

Kostelecký

2019

Phys. Rev. D

101

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The classification of Lorentz-and CPT-violating operators in nonabelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields. Restrictions to the abelian, Lorentz-invariant, and isotropic limits are presented. We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics. First constraints on nonlinear Lorentz-violating effects in electrodynamics are obtained using data from experiments on photon-photon scattering, and corrections from nonminimal Lorentz and CPT violation to the cross section for deep inelastic scattering are derived.

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“…At zeroth boost order the frequency shift is given in Table III, while at linear boost order it is given by Eq. (44) and the entries in Table IV. Estimates for attainable sensitivities to SME coefficients using existing devices are provided in Table V.…”

Section: Discussionmentioning

confidence: 99%

Lorentz and CPT tests with clock-comparison experiments

Kostelecký

Vargas

2018

Phys. Rev. D

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Clock-comparison experiments are among the sharpest existing tests of Lorentz symmetry in matter. We characterize signals in these experiments arising from modifications to electron or nucleon propagators and involving Lorentz-and CPT-violating operators of arbitrary mass dimension. The spectral frequencies of the atoms or ions used as clocks exhibit perturbative shifts that can depend on the constituent-particle properties and can display sidereal and annual variations in time. Adopting an independent-particle model for the electronic structure and the Schmidt model for the nucleus, we determine observables for a variety of clock-comparison experiments involving fountain clocks, comagnetometers, ion traps, lattice clocks, entangled states, and antimatter. The treatment demonstrates the complementarity of sensitivities to Lorentz and CPT violation among these different experimental techniques. It also permits the interpretation of some prior results in terms of bounds on nonminimal coefficients for Lorentz violation, including first constraints on nonminimal coefficients in the neutron sector. Estimates of attainable sensitivities in future analyses are provided. Two technical appendices collect relationships between spherical and cartesian coefficients for Lorentz violation and provide explicit transformations converting cartesian coefficients in a laboratory frame to the canonical Sun-centered frame.

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Classical Lagrangians and Finsler structures for the nonminimal fermion sector of the standard model extension

Cited by 53 publications

References 177 publications

Berwald spacetimes and very special relativity

Berwald spacetimes and very special relativity

Gauge field theories with Lorentz-violating operators of arbitrary dimension

Lorentz and CPT tests with clock-comparison experiments

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