Gravity-Induced Four-Fermion Contact Interaction Implies Gravitational Intermediate W and Z Type Gauge Bosons

Boos, Jens; Hehl, Friedrich W.

doi:10.1007/s10773-016-3216-3

Cited by 27 publications

(27 citation statements)

References 22 publications

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“…Let us first start with the covariant Lagrangian for a (complex) minimally coupled scalar field in an arbitrary non-Riemannian 9 To be more exact, if we consider fermions, they will contribute as a source of torsion to the connection, and there would arise torsioninduced interactions as explained in [54,55]. However, it has been recently argued that such interactions are beyond current experimental reach [63], and therefore we will neglect torsion in our discussion. 10 Notice that it vanishes up to torsion corrections generated by the fermions.…”

Section: Effective Interactions In Rbg Theoriesmentioning

confidence: 99%

“…Afterwards, it was discovered that one can obtain the same results by constructing the gauge theory of the Poincaré group 4 [55,56]. Some authors tried then to understand what could be the observable consequences of torsion and used them to place experimental constraints to the possible existence of a non-vanishing torsion tensor in different contexts [57][58][59][60][61][62][63]. Despite the effort put in understanding the observable effects of torsion, existence (or lack) of observables related to non-metricity is not yet well understood.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effective interactions in Ricci-Based Gravity below the non-metricity scale

Delhom¹,

Miralles²,

Peñuelas³

2020

Eur. Phys. J. C

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We show how minimally-coupled matter fields of arbitrary spin, when coupled to Ricci-Based Gravity theories, develop non-trivial effective interactions that can be treated perturbatively only below a characteristic high-energy scale ΛQ. Our results generalize to arbitrary matter fields those recently obtained for spin 1/2 fields in [1]. We then use this interactions to set bounds on the high-energy scale ΛQ that controls departures of Ricci-Based Gravity theories from General Relativity. Particularly, for Eddington-inspired Born-Infeld gravity we obtain the strong bound |κ| < 10 −26 m 5 kg −1 s −2 . PACS numbers: arXiv:1907.05615v1 [hep-th] 12 Jul 2019 3 With the well known exception of Lovelock theories [65]. 4 Known as Einstein-Cartan-Sciamma-Kibble or ECKS theory. 5 If one considers coupling spinors to GR this is not strictly true, since there arise torsion corrections sourced by spin-density. 6 In fact, the class of RBG theories, which contains f (R) theories, can be defined as the most general class of theories with projective symmetry and whose Lagrangian is given by an analytic scalar function of the metric and the Ricci tensor.

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Section: Effective Interactions In Rbg Theoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effective interactions in Ricci-Based Gravity below the non-metricity scale

Delhom¹,

Miralles²,

Peñuelas³

2020

Eur. Phys. J. C

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“…1 The word "torsionon," which rolls off the tongue in Spanish, may be a bit hard to pronounce in English. J. Boos and F. W. Hehl have called these degrees of freedom "gravitational W and Z gauge bosons" [12], while F. W. Hehl had earlier suggested the name "roton" [19]. 2 A more appropriate name would be Lorentz connection.…”

Section: A First-order Formalismmentioning

confidence: 99%

“…The presence of propagating torsion modes in this class of theories has been the subject of much investigation; for a recent assessment, see Refs. [12][13][14][15] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Linear and second-order geometry perturbations on spacetimes with torsion

2019

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In order to study gravitational waves in any realistic astrophysical scenario, one must consider geometry perturbations up to second order. Here, we present a general technique for studying linear and quadratic perturbations on a spacetime with torsion. Besides the standard metric mode, a "torsionon" perturbation mode appears. This torsional mode will be able to propagate only in a certain kind of theories.

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“…For recent investigations of the cosmology and astrophysics of Einstein–Cartan theory see [ 37 – 46 ]. In [ 47 ] it was shown that by enlarging the Einstein? Cartan Lagrangian with suitable kinetic terms quadratic in the gravitational gauge field strengths (torsion and curvature) one can obtain some new, massive propagating gravitational degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Does space-time torsion determine the minimum mass of gravitating particles?

et al. 2018

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We derive upper and lower limits for the mass–radius ratio of spin-fluid spheres in Einstein–Cartan theory, with matter satisfying a linear barotropic equation of state, and in the presence of a cosmological constant. Adopting a spherically symmetric interior geometry, we obtain the generalized continuity and Tolman–Oppenheimer–Volkoff equations for a Weyssenhoff spin fluid in hydrostatic equilibrium, expressed in terms of the effective mass, density and pressure, all of which contain additional contributions from the spin. The generalized Buchdahl inequality, which remains valid at any point in the interior, is obtained, and general theoretical limits for the maximum and minimum mass–radius ratios are derived. As an application of our results we obtain gravitational red shift bounds for compact spin-fluid objects, which may (in principle) be used for observational tests of Einstein–Cartan theory in an astrophysical context. We also briefly consider applications of the torsion-induced minimum mass to the spin-generalized strong gravity model for baryons/mesons, and show that the existence of quantum spin imposes a lower bound for spinning particles, which almost exactly reproduces the electron mass.

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Gravity-Induced Four-Fermion Contact Interaction Implies Gravitational Intermediate W and Z Type Gauge Bosons

Cited by 27 publications

References 22 publications

Effective interactions in Ricci-Based Gravity below the non-metricity scale

Effective interactions in Ricci-Based Gravity below the non-metricity scale

Linear and second-order geometry perturbations on spacetimes with torsion

Does space-time torsion determine the minimum mass of gravitating particles?

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