Relativistic corrections to nonrelativistic effective field theories

Matching in Nonrelativistic Effective Quantum Field Theories

They began to weave curtains of darkness. They erected large pillars round the Void, With golden hooks fastend in the pillars; With infinite labour the Eternals A woof wove, and called it Science.

Radiative corrections to the Casimir force and effective field theories

Radiative corrections to the Casimir force between two parallel plates are considered in both scalar field theory of one massless and one massive field and in QED. Full calculations are contrasted with calculations based on employing “boundary-free” effective field theories. The difference between two previous results on QED radiative corrections to the Casimir force between two parallel plates...

A Short Introduction to Non - Relativistic Effective Field Theories

I discuss effective field theories for heavy bound systems, particularly bound systems involving two heavy quarks. The emphasis is on the relevant concepts and on interesting physical applications and results. 1 NON-RELATIVISTIC BOUND SYSTEMS In nature there are many particle bound systems for which the relative velocity v of the particle in the system is small. Typical examples in the domain o...

Effective Hamiltonians with Relativistic Corrections

Gravity duals for nonrelativistic conformal field theories.

We attempt to generalize the anti-de Sitter/conformal field theory correspondence to nonrelativistic conformal field theories which are invariant under Galilean transformations. Such systems govern ultracold atoms at unitarity, nucleon scattering in some channels, and, more generally, a family of universality classes of quantum critical behavior. We construct a family of metrics which realize t...