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- Title
Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach.
- Authors
Quadri, Andrea
- Abstract
We summarize recent progress on the symmetric subtraction of the Non-Linear Sigma Model in D 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.
- Subjects
QUANTUM mechanics; NON-linear sigma model (Statistical physics); FUNCTIONAL equations; PRINCIPLE of relativity (Physics); YANG-Mills theory
- Publication
Symmetry (20738994), 2014, Vol 6, Issue 2, p234
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym6020234