beta functions of a scalar theory coupled to gravity.
We study a scalar field theory coupled to gravity on a flat background, below Planck's energy. Einstein's theory is treated as an effective field theory. Within the context of Wilson's renormalization group, we compute gravitational corrections to the beta functions and the anomalous dimension of the scalar field, taking into account threshold effects.
Asymptotic safety and conformal standard model
We show that the Conformal Standard Model supplemented with asymptotically safe gravity can be valid up to arbitrarily high energies and give a complete description of particle physics phenomena. We restrict the mass of the second scalar particle to $\sim 300$ GeV and the masses of heavy neutrinos to $\sim 340$ GeV. These predictions can be explicitly tested in the nearby future.
The ope and the exact renormalization group
Abstract The operator product expansion is motivated and developed within the context of effective lagrangians. The exact renormalization group may be used to establish the asymptotic properties of the expansion. The example field theory considered throughout the paper is a cutoff λφ 4 theory in four dimensions. A detailed proof of the asymptotics for the special case of the expansion of φ ( p + k ) φ (− p ) is given. The ideas of the proof are sufficient to prove the general case of any two local operators in the theory. This approach to the OPE should extend beyond λφ 4 to any theory with a physical cutoff.