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...

By attaching five (complex) anticommuting property coordinates to the four (real) commuting space-time ones, it is possible to accommodate all the known fundamental particles in their three generations. A general relativistic extension to space-time-property can be carried out such that the gauge fields find their place in the space-property sector and the Higgs scalars in the property-property...

By attaching five (complex) anticommuting property coordinates to the four (real) commuting space-time ones, it is possible to accommodate all the known fundamental particles in their three generations. A general relativistic extension to space-time-property can be carried out such that the gauge fields find their place in the space-property sector and the Higgs scalars in the property-property...

Various recent results of new particle searches at the Fermilab Tevatron are presented. No evidence is found for supersymmetric particles (chargino, gluino), leptoquark bosons and heavy gauge bosons in pp̄ collisions at √ s = 1.8 TeV. Excluded mass regions for each particle are determined.

I discuss the importance of the O(g4m2t/M 2 W ) corrections to the effective electroweak angle and MW in the indirect determination of the Higgs mass. I emphasize the rôle of a very preciseMW measurement on the MH estimate. ∗ Talk presented at the Zeuthen Workshop on Elementary Particle Theory ”Loops and Legs in Gauge Theories” Rheinsberg, Germany, April 19-24, 1998