International Journal of Theoretical Physics

, Volume 56, Issue 3, pp 751–756 | Cite as

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

  • Jens Boos
  • Friedrich W. Hehl


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.


Gravity as a gauge theory Four-fermion contact interaction Effective field theory 



Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  2. 2.Department of Physics & AstronomyUniversity of WaterlooWaterlooCanada
  3. 3.Institute for Theoretical PhysicsUniversity of CologneKölnGermany
  4. 4.Department of Physics & AstronomyUniversity of MissouriColumbiaUSA

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