Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
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-linearl...
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| Format: | Article |
| Language: | English |
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MDPI AG
2014-04-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/6/2/234 |
| _version_ | 1798003444643004416 |
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| author | Andrea Quadri |
| author_facet | Andrea Quadri |
| author_sort | Andrea Quadri |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:08:53Z |
| format | Article |
| id | doaj.art-cab27dad11c444a6aca2b18f2c3be999 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:08:53Z |
| publishDate | 2014-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cab27dad11c444a6aca2b18f2c3be9992022-12-22T04:24:40ZengMDPI AGSymmetry2073-89942014-04-016223425510.3390/sym6020234sym6020234Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional ApproachAndrea Quadri0Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Milano, via Celoria 16, I-20133 Milano,ItalyWe 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.http://www.mdpi.com/2073-8994/6/2/234Non-Linear Sigma Modelquantum symmetriesrenormalizationBecchi–Rouet–Stora–Tyutin (BRST) |
| spellingShingle | Andrea Quadri Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach Symmetry Non-Linear Sigma Model quantum symmetries renormalization Becchi–Rouet–Stora–Tyutin (BRST) |
| title | Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach |
| title_full | Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach |
| title_fullStr | Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach |
| title_full_unstemmed | Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach |
| title_short | Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach |
| title_sort | quantum local symmetry of the d dimensional non linear sigma model a functional approach |
| topic | Non-Linear Sigma Model quantum symmetries renormalization Becchi–Rouet–Stora–Tyutin (BRST) |
| url | http://www.mdpi.com/2073-8994/6/2/234 |
| work_keys_str_mv | AT andreaquadri quantumlocalsymmetryoftheddimensionalnonlinearsigmamodelafunctionalapproach |