We discuss shallow resonances in the nonrelativistic scattering of two particles using an effective field theory (EFT) that includes auxiliary with quantum numbers resonance. construct manifestly renormalized amplitude up to next-to-leading order a systematic expansion. For narrow resonance, is perturbative except immediate vicinity resonance poles. It naturally has zero low-energy region, anal...

In these mostly expository lectures, we give an elementary introduction to conformal field theory in the context of probability theory and complex analysis. We consider statistical fields, and define Ward functionals in terms of their Lie derivatives. Based on this approach, we explain some equations of conformal field theory and outline their relation to SLE theory.

I examine some problems standing in the way of a successful “field interpretation” of quantum field theory. The most popular extant proposal depends on the Hilbert space of “wavefunctionals.” But since wavefunctional space is unitarily equivalent to manyparticle Fock space, two of the most powerful arguments against particle interpretations also undermine this form of field interpretation.