Adler-Bardeen theorem and vanishing of the gauge beta function

Abstract

The proof of the non-renormalization theorem for the gauge anomaly of four-dimensional theories is extended to the case of models with a vanishing one-loop gauge beta function.

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

“…Although the extrapolation of the lattice data in the region q ≈ 0 is a difficult task, requiring large lattice volumes, the results (35) and (42) on the (transverse) diagonal and offdiagonal components of the gluon propagator can be considered to be in qualitative agreement with the lattice results, especially with the two parameter fits (23) and (24). Concerning now the ghost propagator, to our knowledge, no lattice data is available so far.…”

“…[23]). If this relation is expected to be valid at the nonperturbative level, the infrared behavior of the running coupling constant α(p 2 ) could be investigated by looking at the form factors of the gluon and ghost propagators.…”

Supersymmetric structure of the bosonic string theory in the Beltrami parametrization

“…This property seems to be a common feature of the models with a non-linearly realized supersymmetry [14].…”

The antighost equation in N = 1 super-Yang-Mills theories

“…we add to the action the term The niteness of the higher invariant ghost monomials Tr c 2p+1 + , p 2, as well as of the ghost eld itself, goes along the same lines, as shown e.g. for Tr c 5 + in usual gauge theories [11] in the proof of the nonrenormalization of the gauge anomaly.…”