Chiral deformations of YangMills and Gravity theoriesTools Cofano, M.C. (2018) Chiral deformations of YangMills and Gravity theories. PhD thesis, University of Nottingham.
AbstractIn this thesis we present a modification of YangMills and Gravity theories both written in terms of gauge connections. In particular gravity is presented in its pure connection formulation realizing a Diffeomorphism Invariant Gauge Theory. The modifications do not change the kinematical content of the theories, but they add an infinite set of new vertices retaining the symmetries of the original Lagrangians without introducing higher derivatives in the equations of motion. These new interactions are chiral, leaving the original Yang Mills and Gravity theories as the only parityinvariant theories in the set. In the YangMills case we proved that at tree level the theory is still constructible via the socalled BCFW recursion relations. Both theories are claimed to be closed under the renormalization group. The YangMills Deformations are indeed proved to be oneloop renormalizable and an explicit diagrammatic computation of the simplest deformation betafunction is given. For gravity a new formulation is introduced that could lead to a similar result at oneloop.
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