Fermions as U(1) instantons

Anomalous quantization of the Electromagnetic field allows non-trivial (anti) self-dual configurations to exist in four-dimensional Euclidian space-time. These instanton-like objects are described as massless spinor particles.Comment: 11 pages, LaTeX, extended version, references adde

On the Generalised Pauli--Villars Regularization of the Standard Model

We show that the regularization of the Standard Model proposed by Frolov and Slavnov describes a nonlocal theory with quite simple Lagrangian.Comment: 7 pages, harvma

Higher Equations of Motion in N=2 Superconformal Liouville Field Theory

We present an infinite set of higher equations of motion in N=2 supersymmetric Liouville field theory. They are in one to one correspondence with the degenerate representations and are enumerated in addition to the U(1) charge \omega by the positive integers m or (m,n) respectively. We check that in the classical limit these equations hold as relations among the classical fields.Comment: 11 page

Electromagnetic Waves in Cosmological Spacetime

We consider the propagation of electromagnetic waves in the Friedmann–Lemaître–Robertson–Walker metric. The exact solutions for plane and spherical wave are written down. The corresponding redshift, amplitude change, and dispersion are discussed. We also speculate about the connection of the electromagnetic wave equation to the Proca equation and its significance for the early Universe