One-loop renormalization in Galileon effective field theory

Renormalization and Effective Field Theory

Renormalization of two - loop diagrams in scalar lattice field theory

We present a method to calculate to very high precision the coefficients of the divergences occuring in two-loop diagrams for a massive scalar field on the lattice. The approach is based on coordinate space techniques and extensive use of the precisely known Green’s function.

Renormalization Group Determination of the Five-Loop Effective Potential for Massless Scalar Field Theory

The five-loop effective potential and the associated summation of subleading logarithms for O(4) globallysymmetric massless λφ field theory in the Coleman-Weinberg renormalization scheme d V dφ4 ̨

Two-loop renormalization of the effective field theory of a static quark

We give a recurrence relation for two-loop integrals encountered in the effective field theory of an infinitely heavy quark, Q, interacting with gluons and NL massless quarks, q, from which we obtain exact two-loop results, in any dimension and covariant gauge, for the propagator of Q and the vertex function of the heavylight current J ≡ QΓq, at zero q-momentum. The anomalous dimension of the Q...

One-Nucleon Effective Generators of the Poincaré Group derived from a Field Theory: Mass Renormalization

We start from a Lagrangian describing scalar ”nucleons” and mesons which interact through a simple vertex. Okubo’s method of unitary transformation is used to describe a single nucleon dressed by its meson cloud. We find an expression for the physical mass of the nucleon being correct up to second order in the coupling constant. It is then verified that this result is the same as the correspond...