Gravitational origin of the weak interaction's chirality
Abstract
We present a new unification of the electroweak and gravitational interactions based on joining the weak SU(2) gauge fields with the lefthanded part of the spacetime connection, into a single gauge field valued in the complexification of the local Lorentz group. Hence, the weak interactions emerge as the righthanded chiral half of the spacetime connection, which explains the chirality of the weak interaction. This is possible, because, as shown by Plebanski, Ashtekar, and others, the other chiral half of the spacetime connection is enough to code the dynamics of the gravitational degrees of freedom. This unification is achieved within an extension of the Plebanski action previously proposed by one of us. The theory has two phases. A parity symmetric phase yields, as shown by Speziale, a bimetric theory with 8 degrees of freedom: the massless graviton, a massive spin2 field and a scalar ghost. Because of the latter this phase is unstable. Parity is broken in a stable phase where the 8 degrees of freedom arrange themselves as the massless graviton coupled to an SU(2) triplet of chirally coupled YangMills fields. It is also shown that under this breaking a Dirac fermion expresses itself as a chiral neutrino paired with a scalar field with the quantum numbers of the Higgs.
 Publication:

Physical Review D
 Pub Date:
 March 2014
 DOI:
 10.1103/PhysRevD.89.065017
 Bibcode:
 2014PhRvD..89f5017A
 Keywords:

 12.60.Cn;
 11.15.q;
 12.10.Dm;
 12.60.i;
 Extensions of electroweak gauge sector;
 Gauge field theories;
 Unified theories and models of strong and electroweak interactions;
 Models beyond the standard model