We study the low energy effects of heavy fermions in an SU(Nc) gauge theory. This talk summarizes the results presented in ref[1] and extends that calculation for lattice regularization. The effect of heavy matter fields at low energies is expected to be no more than an induced effective gauge coupling. This phenomena is well known for lattice Wilson fermions where the fermion doublers induce a...

The structure of the double-pole approximation for the O(α) corrections to e + e − → WW → 4 fermions is described, and some results are presented. Moreover, results on full tree-level predictions for e + e − → 4 fermions+γ are given.

We construct a chiral gauge theory to describe fractionalization of fermions in graphene. Thereby we extend a recently proposed model, which relies on vortex formation. Our chiral gauge fields provide dynamics for the vortices and also couple to the fermions.

We use free fermion methods to re-derive a result of Okounkov and Reshetikhin relating charged fermions to random plane partitions, and to extend it to relate neutral fermions to strict plane partitions.

This paper is an introduction to relationships between topology, quantum computing and the properties of fermions. In particular we study the remarkable unitary braid group representations associated with Majorana fermions.

Analyzing the constraint structure of electrodynamics, massive vector bosons, Dirac fermions and electrodynamics coupled to fermions, we show that Dirac quantization method leads to appropriate creationannihilation algebra among the Forier coefficients of the fields. e-mail: [email protected]