HALF-DIFFERENTIALS AND FERMION PROPAGATORS

GW fermion propagators and chiral condensate

By exploiting the chiral symmetry, we derive analytic formulas for the massless and the massive Ginsparg-Wilson fermion propagators. Using these formulas, we derive an expression for the chiral condensate which is the order parameter for spontaneous chiral symmetry breaking in QCD. These formulas provide the proper way to compute the fermion propagators and may save a significant amount of comp...

Fermion propagators in QED3 with velocity anisotropies

QED3 with fermi and gap anisotropies is considered to be a candidate effective field theory of high temperature superconductors. Simulations of a variant of the theory have demonstrated that there is evidence consistent with a phase transition to a chirally restored phase as the velocity anisotropy increases, and that the correlation lengths of pions in spatial directions behave in a manner con...

Non–Standard Fermion Propagators from Conformal Field Theory

It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half–integer conformal weights. This yields representations of fermionic 2–point functions in terms of correlators of primary fields with a factorized transformation behavior under the Lorentz group. I employ this observation to determine the general structure of the corresponding Lorentz covariant correlators...

Organismal Differentials and Organ Differentials.

Propagators and Path Integrals

Path-integral expressions for one-particle propagators in scalar and fermionic field theories are derived, for arbitrary mass. This establishes a direct connection between field theory and specific classical point-particle models. The role of world-line reparametrization invariance of the classical action and the implementation of the corresponding BRST-symmetry in the quantum theory are discus...