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Symmetry 2014, 6(2), 234-255; doi:10.3390/sym6020234
Review

Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach

1,2
Received: 27 February 2014; in revised form: 31 March 2014 / Accepted: 11 April 2014 / Published: 17 April 2014
(This article belongs to the Special Issue Physics based on Two-by-two Matrices)
View Full-Text   |   Download PDF [335 KB, uploaded 17 April 2014]
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.
Keywords: Non-Linear Sigma Model; quantum symmetries; renormalization; Becchi–Rouet–Stora–Tyutin (BRST) Non-Linear Sigma Model; quantum symmetries; renormalization; Becchi–Rouet–Stora–Tyutin (BRST)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Quadri, A. Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach. Symmetry 2014, 6, 234-255.

AMA Style

Quadri A. Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach. Symmetry. 2014; 6(2):234-255.

Chicago/Turabian Style

Quadri, Andrea. 2014. "Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach." Symmetry 6, no. 2: 234-255.


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