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.

We continue the analysis of Vacuum String Field Theory in the presence of a constant B field. In particular we give a proof of the ratio of brane tensions is the expected one. On the wake of the recent literature we introduce wedge–like states and orthogonal projections. Finally we show a few examples of the smoothing out effects of the B field on some of the singularities that appear in VSFT.

The deBroglie-Bohm pilot-wave theory is an interpretation of quantum theory in which the observer plays no fundamental role. In a pilot-wave theory, quantum systems are not only described by the state vector, but also by some additional variables. These additional variables, also called beables, can be particle positions, field configurations, strings, etc. In this paper we focus our attention ...

In this paper, on the basis of a new strain gradient elasticity theory, wave propagation in rectangular nanoplates by considering in-plane magnetic field is studied. This strain gradient theory has two gradient parameters and has the ability to compare with the nonlocal elasticity theory. From the best knowledge of author, it is the first time that this theory is used for investigating wave pro...