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

@article{Boos2016GravityInducedFC,
  title={Gravity-Induced Four-Fermion Contact Interaction Implies Gravitational Intermediate W and Z Type Gauge Bosons},
  author={Jens Boos and Friedrich W. Hehl},
  journal={International Journal of Theoretical Physics},
  year={2016},
  volume={56},
  pages={751-756}
}
  • Jens Boos, F. Hehl
  • Published 29 June 2016
  • Physics
  • International Journal of Theoretical Physics
Coupling fermions to gravity necessarily leads to a non-renormalizable, gravitational four-fermion contact interaction. In this essay, we argue that augmenting the Einstein–Cartan Lagrangian with suitable kinetic terms quadratic in the gravitational gauge field strengths (torsion and curvature) gives rise to new, massive propagating gravitational degrees of freedom. This is to be seen in close analogy to Fermi’s effective four-fermion interaction and its emergent W and Z bosons. 
View on Springer
arxiv.org
15 Citations
Highly Influential Citations
1
Background Citations
3

15 Citations

Quantum corrections to the Lorentz algebra due to mixed gravitational-$U(1)$-chiral anomalies
We calculate the quantum corrections to the Lorentz algebra for chiral Weyl fermions interacting with an external U(1) gauge field in a background Riemann-Cartan (RC) spacetime. This was achieved by…
Luminal propagation of gravitational waves in scalar-tensor theories: The case for torsion
Scalar-tensor gravity theories with a nonminimal Gauss-Bonnet coupling typically lead to an anomalous propagation speed for gravitational waves, and have therefore been tightly constrained by…
Probing a dark gauge boson via the Einstein-Cartan portal
Einstein-Cartan gravity which is an alternative formulation of general relativity introduces new degrees of freedom contained in the torsion field which encodes the torsion feature of spacetime.…
Linear and second-order geometry perturbations on spacetimes with torsion
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…
Non-zero torsion and late cosmology
In this work, we study some thermodynamical aspects associated with torsion in a flat FLRW spacetime cosmic evolution. By implementing two Ansatze for the torsion term, we find that the model admits…
Effective interactions in Ricci-Based Gravity below the non-metricity scale
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…
Conservation of Energy-Momentum of Matter as the Basis for the Gauge Theory of Gravitation
According to Yang \& Mills (1954), a {\it conserved} current and a related rigid (`global') symmetry lie at the foundations of gauge theory. When the rigid symmetry is extended to a {\it local} one,…
Einstein–Cartan cosmologies
Gravitational Waves in ECSK theory: Robustness of mergers as standard sirens and nonvanishing torsion
The amplitude propagation of gravitational waves in an Einstein-Cartan-Sciamma-Kibble (ECSK) theory is studied by assuming a dark matter spin tensor sourcing for spacetime torsion at cosmological…
Does space-time torsion determine the minimum mass of gravitating particles?
TLDR
The existence of quantum spin imposes a lower bound for spinning particles, which almost exactly reproduces the electron mass, in the spin-generalized strong gravity model for baryons/mesons.
...
...

References

SHOWING 1-10 OF 15 REFERENCES
Topological and geometrical phases due to gravitational field with curvature and torsion
Nonsingular, big-bounce cosmology from spinor-torsion coupling
The Einstein-Cartan-Sciama-Kibble theory of gravity removes the constraint of general relativity that the affine connection be symmetric by regarding its antisymmetric part, the torsion tensor, as a…
Torsion as Electromagnetism and Spin
We show that it is possible to formulate the classical Einstein-Maxwell-Dirac theory of spinors interacting with the gravitational and electromagnetic fields as the Einstein-Cartan-Kibble-Sciama…
Gauge Theories of Gravitation
During the last five decades, gravity, as one of the fundamental forces of nature, has been formulated as a gauge theory of the Weyl-Cartan-Yang-Mills type. The present text offers commentaries on…
Cosmology with a spin
Using the chiral representation for spinors we present a particularly transparent way to generate the most general spinor dynamics in a theory where gravity is ruled by the Einstein-Cartan-Holst…
Torsion cosmology and the accelerating universe
Investigations of the dynamic modes of the Poincare gauge theory of gravity found only two good propagating torsion modes; they are effectively a scalar and a pseudoscalar. Cosmology affords a…
The Superfluid Phases Of Helium 3
A comprehensive treatment of the theory of superfluid helium-3 is presented in this book. This treatment also illustrates many of the principal themes of theoretical condensed matter physics over the…
Plebański–Demiański solution of general relativity and its expressions quadratic and cubic in curvature: Analogies to electromagnetism
Analogies between gravitation and electromagnetism have been known since the 1950s. Here, we examine a fairly general type D solution — the exact seven parameter solution of Plebanski–Demianski (PD)…
Emergent Photons and Gravitons:The Problem of Vacuum Structure
We discuss vacuum condensates associated with emergent QED and with torsion, as well as the possible role of the Kodama wave function in quantum cosmology.
The Universe In A Helium Droplet
Thank you very much for reading the universe in a helium droplet. As you may know, people have look hundreds times for their favorite books like this the universe in a helium droplet, but end up in…
...
...