Gauge Field Theory for Fermions

Continuum Regularization of Gauge Theory with Fermions

The covariant-derivative regularization program is discussed for d-dimensional gauge theory coupled to fermions in an arbitrary representation.

Dynamical Fermions in Hamiltonian Lattice Gauge Theory

Nearly all lattice studies with dynamical fermions rely on pseudofermion techniques. This includes the standard Hybrid Monte Carlo method for non-local boson actions [1] and more recently multiboson methods proposed by Lüscher [2] and extended to odd flavors by Boriçi and de Forcrand [3]. While these methods are presently the most efficient available for dynamical fermion calculations, much imp...

Fermions in spherical field theory

Spherical field theory is a new non-perturbative method for studying quantum field theory. It was introduced in [1] and was used to describe the interactions of scalar boson fields. In this paper we show how to extend the spherical field method to fermionic systems. The central idea of spherical field theory is to treat a d-dimensional system as a set of coupled one-dimensional systems. This is...

Gauge Field Theory Models

Supersymmetric U(1) Gauge Field Theory With Massive Gauge Field

According to the conventional notion, if a system has strict gauge symmetry, the mass of gauge field in the lagrangian must be zero [1 ]. With the development of the gauge theory, this notion has already been changed. In the gauge theory developed by Wu [2 ], under the precondition that the system has strict gauge symmetry, the theory contains massive gauge bosons. In fact, this result holds no...