Why a talk on Renormalized Perturbation Theory (RPT) in 2008? The consensus established in the 70’s under the acronym BPHZ is part of elementary particle physicists’ theoretical equipment. Yet, the corresponding literature is hard to penetrate for a mind endowned with good logical connections typically that of a professional mathematician. This state of affairs may be assigned, in parts, to som...

We investigate the possibility of testing of the Einstein Equivalence Principle (EEP) using measurements of anomalous magnetic moments of elementary particles. We compute the one loop correction for the g−2 anomaly within the class of non metric theories of gravity described by the THǫμ formalism. We find several novel mechanisms for breaking the EEP whose origin is due purely to radiative corr...

Steven French and Décio Krause have written what bids fair to be, for years to come, the definitive philosophical treatment of the problem of the individuality of elementary particles in quantum mechanics and quantum field theory. The book begins with a long and dense argument for the view that elementary particles are most helpfully regarded as non-individuals, and it concludes with an earnest...

Steven French and Décio Krause have written what bids fair to be, for years to come, the definitive philosophical treatment of the problem of the individuality of elementary particles in quantum mechanics (QM) and quantum-field theory (QFT). The book begins with a long and dense argument for the view that elementary particles are most helpfully regarded as non-individuals, and it concludes with...

Lattice Landau gauge and other related lattice gauge fixing schemes are known to violate spectral positivity. The most direct sign of the violation is the rise of the effective mass as a function of distance. The origin of this phenomenon lies in the quenched character of the auxiliary field g used to implement lattice gauge fixing, and is similar to quenched QCD in this respect. This is best s...

HEN A STRANGER, hearing that I am a physicist, asks me in what area of physics I work, I generally reply that I work on the theory of elementary particles. Giving this answer always makes me nervous. Suppose that the stranger should ask, “What is an elementary particle?” I would have to admit that no one really knows. Let me declare first of all that there is no difficulty in saying what is mea...

Momentum creation by vortices in 3 He experiments as a model of primordial baryogenesis. An important problem in cosmology is why the universe contains so much more matter than antimatter. Such an imbalance can result from processes in which baryon number is not conserved. These may have occured during the electroweak phase transition in the early universe when elementary particles first acquir...

The purpose of this paper is (i) to expound the specification of a universe, according to those parts of mathematical physics which have been experimentally and observationally verified in our own universe; and (ii) to expound the possible means of creating a universe in the laboratory. 1 Universe specification According to modern mathematical theoretical physics, the specification of a physica...

The main objective consists in endowing the elementary particles with an algebraic space-time structure in the perspective of unifying quantum field theory and general relativity: this is realized in the frame of the Langlands global program based on the infinite dimensional representations of algebraic groups over adele rings. In this context, algebraic quanta, strings and fields of particles ...

In standard Poincare and anti de Sitter SO(2,3) invariant theories, the existence of antiparticles is explained by using the fact that covariant equations have solutions with negative energies. In these theories a particle and its antiparticle are described by independent positive energy irreducible representations (IRs) of the symmetry group. Such an approach cannot be applied in de Sitter SO(...