1111.1959 (Martin Kober)

Intersection of Yang-Mills Theory with Gauge Description of General
Relativity    [PDF]

Martin Kober

An intersection of Yang-Mills theory with the gauge description of general
relativity is considered. This intersection has its origin in a generalized
algebra, where the generators of the SO(3,1) group as gauge group of general
relativity and the generators of a SU(N) group as gauge group of Yang-Mills
theory are not separated anymore but are related by fulfilling nontrivial
commutation relations with each other. Because of the Coleman Mandula theorem
this algebra cannot be postulated as Lie algebra. As consequence, extended
gauge transformations as well as an extended expression for the field strength
tensor is obtained, which contains a term consisting of products of the Yang
Mills connection and the connection of general relativity. Accordingly a new
gauge invariant action incorporating the additional term of the generalized
field strength tensor is built, which depends of course on the corresponding
tensor determining the additional intersection commutation relations. This
means that the theory describes a decisively modified interaction structure
between the Yang-Mills gauge field and the gravitational field leading to a
violation of the equivalence principle.

View original: http://arxiv.org/abs/1111.1959