Renormalization Proof for Spontaneously broken Yang-Mills Theory with Flow Equations
The proof given in the paper was incomplete due to an omission in the proof of Lemma 2. A corrected and improved version of the paper is in arXiv:0902.2486.
hep-th↗
arXiv subjects
Ch. Kopper
Publications and source records attributed to Ch. Kopper.
Mass Generation in the Large N nonlinear sigma-Model
We study the infrared behaviour of the two-dimensional Euclidean O(N) nonlinear sigma-Model with a suitable ultraviolet cutoff. It is proven that for a sufficiently large (but finite!) number N of field components the model is massive and thus has exponentially decaying correlation functions. We use a representation of the model with an interpolating bosonic field. This permits to analyse the infrared behaviour without any intermediate breaking of O(N)-symmetry. The proof is simpler than that of the corresponding result for the Gross-Neveu-Model.
math-ph↗