Centre de Physique Théorique


Wednesday 20 March 2019

11h00 – 12h00, CPT, Amphi 5

Effective field theories for phases of matter and cosmology

Alberto Nicolis (Columbia University)

I will review some modern applications of effective field theories outside their traditional particle physics domain. In particular, I will focus on spontaneous symmetry breaking for spacetime symmetries. The effective theories for the associated Goldstone excitations capture the low-energy/long-distance dynamics of a number of physical systems, from ordinary macroscopic media (solids, fluids, superfluids, supersolids) to more exotic cosmological ones

14h00 – 15h00, CPT, Amphi 5

Absence of Singular Spectrum for the Particles Bounded to an Infinite Planar Curve

J. Dittrich (Nuclear Physics Institute CAS, Rez, Czech Republic)


Non-relativistic quantum particles bounded to an infinite curve in the plane by
the attractive contact delta-interaction are considered. The interval between
the energy of the transversal bound state and zero is shown to belong
to the absolutely continuous spectrum, with possible embedded eigenvalues.
The curve is assumed smooth and non-intersecting, asymptotically
approaching two different half-lines. The proof is inspired by the proof
of Agmon-Kato-Kuroda theorem.