We study nonhomogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means generalized hydrodynamics (GHD), we analyze detail real-time evolution following sudden change confining potential. consider particular release protocols and trap quenches, including version Newton's cradle. At zero temperature, employ si...

It is known that optical activities can perform rotations. It is shown that the rotation, if modulated by attenuations, can perform symmetry operations of Wigner’s little group which dictates the internal space-time symmetries of elementary particles.

The algebraic method of renormalization is applied to the standard model of electroweak interactions. We present the most important modifications compared to theories with simple groups. ∗ Presented at the DESY Zeuthen Workshop on Elementary Particle Theory “Loops and Legs in Gauge Theories”, Rheinsberg, Germany, April 19-24, 1998. (1) ALGEBRAIC RENORMALIZATION OF THE ELECTROWEAK STANDARD MODEL

One of the reasons provided for the shift away from an ontology for physical reality of material objects & properties towards one of physical structures & relations (Ontological Structural Realism: OntSR) is that the quantum-mechanical description of composite physical systems of similar elementary particles entails they are indiscernible. As material objects, they ‘whither away’, andwhen they ...

We give a short elementary proof of the well known identity ζ(2) = ∑∞ k=1 1/k 2 = π/6. The idea is to write the partial sums of the series as a telescoping sum and to estimate the error term. The proof is based on recursion relations between integrals obtained by integration by parts, and simple estimates. Introduction The aim of this note is to give a truly elementary proof of the identity

We show that the mass intervals among the pentaquark baryons Θ, N∗(1685) and Ξ− 3/2 proposed to be the members of the SU(3) antidecuplet are exact integral multiples of the mass difference between a neutral pion and a muon i.e. 29.318 MeV. This is in agreement with the general tendency of the mass differences among elementary particles to be close integral/half integral multiple of mass differe...