Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei
I discuss how the axial current coupling constant <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1388 |
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| author | Mannque Rho |
| author_facet | Mannque Rho |
| author_sort | Mannque Rho |
| collection | DOAJ |
| description | I discuss how the axial current coupling constant <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> renormalized in scale symmetric chiral EFT defined at a chiral matching scale impacts on the axial current matrix elements on beta decays in nuclei with and without neutrinos. The “quenched” <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> observed in nuclear superallowed Gamow–Teller transitions, a long-standing puzzle in nuclear physics, is shown to encode the emergence of chiral-scale symmetry hidden in QCD in the vacuum. This enables one to explore how trace-anomaly-induced scale symmetry breaking enters in the renormalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> in nuclei applicable to certain non-unique forbidden processes involved in neutrinoless double beta decays. A parallel is made between the roles of chiral-scale symmetry in quenching <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> in highly dense medium and in hadron–quark continuity in the EoS of dense matter in massive compact stars. A systematic chiral-scale EFT, presently lacking in nuclear theory and potentially crucial for the future progress, is suggested as a challenge in the field. |
| first_indexed | 2024-03-10T08:21:02Z |
| format | Article |
| id | doaj.art-f1110bd77ad7403196ff111f0aa0f828 |
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| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:21:02Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f1110bd77ad7403196ff111f0aa0f8282023-11-22T10:00:37ZengMDPI AGSymmetry2073-89942021-07-01138138810.3390/sym13081388Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in NucleiMannque Rho0Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEA, 91191 Gif-sur-Yvette, FranceI discuss how the axial current coupling constant <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> renormalized in scale symmetric chiral EFT defined at a chiral matching scale impacts on the axial current matrix elements on beta decays in nuclei with and without neutrinos. The “quenched” <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> observed in nuclear superallowed Gamow–Teller transitions, a long-standing puzzle in nuclear physics, is shown to encode the emergence of chiral-scale symmetry hidden in QCD in the vacuum. This enables one to explore how trace-anomaly-induced scale symmetry breaking enters in the renormalized <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> in nuclei applicable to certain non-unique forbidden processes involved in neutrinoless double beta decays. A parallel is made between the roles of chiral-scale symmetry in quenching <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>g</mi><mi>A</mi></msub></semantics></math></inline-formula> in highly dense medium and in hadron–quark continuity in the EoS of dense matter in massive compact stars. A systematic chiral-scale EFT, presently lacking in nuclear theory and potentially crucial for the future progress, is suggested as a challenge in the field.https://www.mdpi.com/2073-8994/13/8/1388nuclear quenched <i>g</i><i><sub>A</sub></i>Fermi-liquid fixed pointhidden scale and local symmetries in nuclear mattergenuine dilatonanomalous dimension of gluon stress tensor in nuclei |
| spellingShingle | Mannque Rho Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei Symmetry nuclear quenched <i>g</i><i><sub>A</sub></i> Fermi-liquid fixed point hidden scale and local symmetries in nuclear matter genuine dilaton anomalous dimension of gluon stress tensor in nuclei |
| title | Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei |
| title_full | Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei |
| title_fullStr | Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei |
| title_full_unstemmed | Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei |
| title_short | Multifarious Roles of Hidden Chiral-Scale Symmetry: “Quenching” <i>g</i><i><sub>A</sub></i> in Nuclei |
| title_sort | multifarious roles of hidden chiral scale symmetry quenching i g i i sub a sub i in nuclei |
| topic | nuclear quenched <i>g</i><i><sub>A</sub></i> Fermi-liquid fixed point hidden scale and local symmetries in nuclear matter genuine dilaton anomalous dimension of gluon stress tensor in nuclei |
| url | https://www.mdpi.com/2073-8994/13/8/1388 |
| work_keys_str_mv | AT mannquerho multifariousrolesofhiddenchiralscalesymmetryquenchingigiisubasubiinnuclei |