Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
Abstract
We summarize recent progress on the symmetric subtraction of the Non-Linear Sigma Model in dimensions, based on the validity of a certain Local Functional Equation (LFE) encoding the invariance of the SU(2) Haar measure under local left transformations. The deformation of the classical non-linearly realized symmetry at the quantum level is analyzed by cohomological tools. It is shown that all the divergences of the one-particle irreducible (1-PI) amplitudes (both on-shell and off-shell) can be classified according to the solutions of the LFE. Applications to the non-linearly realized Yang-Mills theory and to the electroweak theory, which is directly relevant to the model-independent analysis of LHC data, are briefly addressed.
Keywords
Cite
@article{arxiv.1404.4490,
title = {Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach},
author = {Andrea Quadri},
journal= {arXiv preprint arXiv:1404.4490},
year = {2014}
}
Comments
26 pages. Invited review to Symmetry