Renormalized perturbation Theory: a missing chapter

Properties of the renormalized quark mass in the Schrödinger functional with a non–vanishing background field

We compute the current quark mass in the Schrödinger functional with a non–vanishing background field at one loop order of perturbation theory. The results are used to obtain the critical mass at which the renormalized quark mass vanishes, and some lattice artefacts at one loop order.

Displacement Operator Formalism

We review the D-formalism, a new method for determining the renormalization of Green functions to all orders in perturbation theory. This formalism exploits the fact that the renormalized Green functions may be calculated by displacing by an infinite amount the renormalized fields and parameters of the theory with respect to the unrenormalized ones. We briefly discuss some of its main character...

MS-TP1-95-06 The renormalized φ 4 4-trajectory by perturbation theory in the running coupling

MS-TP1-95-06 The renormalized φ4 4-trajectory by perturbation theory in the running coupling

Renormalization of Velocity-Changing Dimension-Five Operators in the Heavy-Quark Effective Theory

We study the renormalization of operators of the type h̄v′ΓG hv in the heavy-quark effective theory (HQET). We construct the combinations of such operators that are renormalized multiplicatively, and calculate their velocity-dependent anomalous dimensions at the one-loop order. We then show that the virial theorem of the HQET is not renormalized, and that in the limit of equal velocities the ano...