Quantum Field Theory and its Anomalies for Topological Matter
Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the θ vacuum in QCD. A very relevant aspect of this connection is through the phenomenon of chiral and conformal qft anomalies. It has been realiz...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2022-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00026.pdf |
| _version_ | 1811179691427495936 |
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| author | Corianò Claudio Cretì Mario D’Agostino Stefania |
| author_facet | Corianò Claudio Cretì Mario D’Agostino Stefania |
| author_sort | Corianò Claudio |
| collection | DOAJ |
| description | Topology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the θ vacuum in QCD. A very relevant aspect of this connection is through the phenomenon of chiral and conformal qft anomalies. It has been realized that a class of materials, comprising topological insulators and Weyl semimetals, also exhibit the phenomenon of anomalies, which are responsible for several exotic phenomena, such as the presence of edge currents, resilient under perturbations and scattering by impurities. Another example comes from the response functions of these materials under thermal and mechanical stresses, that may be performed using correlation functions of stress energy tensors in General Relativity. In this case the conformal anomaly plays an important role. We briefly illustrate some salient features of this correspondence, and the effective action describing the long-range interactions that may account for such topological effects. |
| first_indexed | 2024-04-11T06:37:49Z |
| format | Article |
| id | doaj.art-1d7371ac454d4b3eb232a344a5506672 |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-04-11T06:37:49Z |
| publishDate | 2022-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-1d7371ac454d4b3eb232a344a55066722022-12-22T04:39:37ZengEDP SciencesEPJ Web of Conferences2100-014X2022-01-012700002610.1051/epjconf/202227000026epjconf_qcd@work2022_00026Quantum Field Theory and its Anomalies for Topological MatterCorianò Claudio0Cretì Mario1D’Agostino Stefania2Dipartimento di Matematica e Fisica, Università del Salento, INFN-LecceDipartimento di Matematica e Fisica, Università del Salento, INFN-LecceDipartimento di Matematica e Fisica, Università del Salento, INFN-LecceTopology enters in quantum field theory (qft) in multiple forms: one of the most important, in non-abelian gauge theories, being in the identification of the θ vacuum in QCD. A very relevant aspect of this connection is through the phenomenon of chiral and conformal qft anomalies. It has been realized that a class of materials, comprising topological insulators and Weyl semimetals, also exhibit the phenomenon of anomalies, which are responsible for several exotic phenomena, such as the presence of edge currents, resilient under perturbations and scattering by impurities. Another example comes from the response functions of these materials under thermal and mechanical stresses, that may be performed using correlation functions of stress energy tensors in General Relativity. In this case the conformal anomaly plays an important role. We briefly illustrate some salient features of this correspondence, and the effective action describing the long-range interactions that may account for such topological effects.https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00026.pdf |
| spellingShingle | Corianò Claudio Cretì Mario D’Agostino Stefania Quantum Field Theory and its Anomalies for Topological Matter EPJ Web of Conferences |
| title | Quantum Field Theory and its Anomalies for Topological Matter |
| title_full | Quantum Field Theory and its Anomalies for Topological Matter |
| title_fullStr | Quantum Field Theory and its Anomalies for Topological Matter |
| title_full_unstemmed | Quantum Field Theory and its Anomalies for Topological Matter |
| title_short | Quantum Field Theory and its Anomalies for Topological Matter |
| title_sort | quantum field theory and its anomalies for topological matter |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2022/14/epjconf_qcd@work2022_00026.pdf |
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