Narrow Results

A unified description of four positive and four negative parity rotational bands for nuclei with and without octupole deformation is presented within an extended version of the coherent state model. Signatures for octupole deformation in the ground as well as in the excited bands are pointed out. Specific features of octupole deformed nuclei related with the electric and magnetic transition probabilities are presented. Comments concerning the project of enlarging the quadrupole and octupole boson system by coupling a set of particles leading to a final system with a chiral symmetry are added. To save the space, only part of the applications performed in the last decade were reviewed.

We report the first observation of e⁺e⁻ annihilations into hadronic states of positive C-parity, ρ⁰ρ⁰ and φρ⁰. The angular distributions support two-virtual-photon annihilation production. We also report the observations of e⁺e⁻ → φη and a preliminary result on e⁺e⁻ → ρ⁺ρ⁻.

This chapter introduces the system for crisis management in Sweden. Over the last century, Sweden has gone from being a poor European backwater to being among the countries with the highest human development in the world. The droughts and harsh winters that killed thousands and drove numerous Swedes to emigrate in the past are mere distractions today and the contemporary system for crisis management is designed to deal with a broader variety of crises than the ones triggered by natural hazards. The system is based on the principles of responsibility, parity and proximity, and distributes sector and area responsibility for crisis management to numerous actors. It is built to a great extent on collaboration between these actors, which is challenging but working relatively well in the cultural context of consensus-seeking and compliance to official guidelines and accepted rules of engagement. However, the system is in itself ambiguous in the sense of distributing responsibility to all kinds of actors and then focusing almost exclusively on public actors in legislation, guidelines and practice. There is also often a gap between policy and practice concerning how area responsibility is exercised, and a lack of clarity in current sector specific legislation.

We consider knot theories possessing parity: each crossing is decreed odd or even according to some universal rule. If this rule satisfies some simple axioms concerning the behaviour under Reidemeister moves, then this leads to a possibility of constructing new invariants and proving minimality and non-triviality theorems for knots from these classes, and constructing maps from knots to knots.

Our main example is virtual knot theory and its simplification, free knot theory. By using Gauss diagrams, we show the existence of non-trivial free knots (counterexample to Turaev's conjecture) and construct simple yet deep invariants that rely on parity. Some invariants are valued in graph-like objects and some other are valued in groups.

We discuss applications of parity to virtual knots and ways of extending well-known invariants.

The existence of a non-trivial parity for classical knots remains an open problem.

Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft, which modifies anomalous dimension. In unquenched QCD with 2-component spinor anomalous dimension has fractional value, where order parmeter is divergent.