# 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}
}
• 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.
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
On the Role of Einstein–Cartan Gravity in Fundamental Particle Physics
• Physics
Universe
• 2020
Two of the major open questions in particle physics are: (1) Why do the elementary fermionic particles that are so far observed have such low mass-energy compared to the Planck energy scale? (2) What
Luminal propagation of gravitational waves in scalar-tensor theories: The case for torsion
• Physics
Physical Review D
• 2019
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
• Physics, Mathematics
The European Physical Journal C
• 2019
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
• Physics
• 2020
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
• Mathematics
The European Physical Journal C
• 2020
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
• Physics
• 2019
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
• Physics
Annals of Physics
• 2019
Gravitational Waves in ECSK theory: Robustness of mergers as standard sirens and nonvanishing torsion
• Physics
• 2022
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

## References

SHOWING 1-10 OF 15 REFERENCES
Gravitational four-fermion interaction and dynamics of the early Universe
• Physics
• 2013
A bstractIf torsion exists, it generates gravitational four-fermion interaction (GFFI), essential on the Planck scale. We analyze the influence of this interaction on the
Propagating modes in gauge field theories of gravity
• Physics
• 1986
The particle content of the most general quadratic field Lagrangian for Poincaré gauge field theories is examined and restrictions on the coupling constants for absence of ghosts and tachyons are
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
Is the spin connection confined or condensed
The spin connection enters the theory of gravity as a nonabelian gauge field associated with local Lorentz transformations. Normally it is eliminated from making an extra assumption - that of the
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
• Physics
• 2012
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
Searches for the role of spin and polarization in gravity
Spin is fundamental in physics. Gravitation is universal. Searches for the role of spin in gravitation dated before the firm establishment of the electron spin in 1925. Since mass and spin or
Cosmology with a spin
• Physics
• 2013
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
• Physics
• 2008
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