A method is presented for deriving the nonrelativistic quantum hamiltonian of a free massive fermion from the relativistic lagrangian of the Lorentz-violating standard-model extension. It permits the extraction of terms at arbitrary order in a Foldy-Wouthuysen expansion in inverse powers of the mass. The quantum particle hamiltonian is obtained and its nonrelativistic limit is given explicitly ...

We derive the component Lagrangian for a generic N = 1/2 supersymmetric chiral model with an arbitrary number of fields in four space-time dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed potential near the origin of the field space in a way which suggests possible physical applications. E-mail: [email protected] E-mail: [email protected]

This is an extended version of the paper hep-th/9802134. Dual QCD Lagrangian is derived by making use of the coordinate gauge of general type where the 1-form (vector potential) is expressed as a contour integral of the 2-form (field strength) along an (arbitrary) contour C. As another application a simple proof of the nonabelian Stokes theorem is given.

We develop a new approach for bosonization based on the direct comparison of current correlation functions and apply it to the case of the Massive Thirring Model in three dimensions in the weak coupling regime, but with an arbitrary mass. Explicit bosonized forms for the lagrangian and the current are obtained in terms of a vector gauge field. Exact results for the corresponding expressions are...