Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter
We describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory constructed is found to be consistent with no conflicts with the presently available observa...
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MDPI AG
2022-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/5/994 |
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| author | Mannque Rho |
| author_facet | Mannque Rho |
| author_sort | Mannque Rho |
| collection | DOAJ |
| description | We describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory constructed is found to be consistent with no conflicts with the presently available observations in both normal nuclear matter and compact-star matter. The hidden symmetries involved are “local flavor symmetry” of the vector mesons identified to be (Seiberg-)dual to the gluons of QCD and hidden “quantum scale symmetry” with an IR fixed point with a “genuine dilaton (GD)” characterized by non-vanishing pion and dilaton decay constants. Both the skyrmion topology for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula> baryons and the fractional quantum Hall (FQH) droplet topology for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> baryons are unified in the “homogeneous/hidden” Wess–Zumino term in the hidden local symmetry (HLS) Lagrangian. The possible indispensable role of the FQH droplets in going beyond the density regime of compact stars approaching scale-chiral restoration is explored by moving toward the limit where both the dilaton and the pion go massless. |
| first_indexed | 2024-03-10T01:43:22Z |
| format | Article |
| id | doaj.art-7799bfd78a744db590e5958e6ec0bfd3 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:43:22Z |
| publishDate | 2022-05-01 |
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| series | Symmetry |
| spelling | doaj.art-7799bfd78a744db590e5958e6ec0bfd32023-11-23T13:19:38ZengMDPI AGSymmetry2073-89942022-05-0114599410.3390/sym14050994Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic MatterMannque Rho0Institut de Physique Théorique, Université Paris-Saclay, CNRS, CEA, CEDEX, 91191 Gif-sur-Yvette, FranceWe describe the mapping at high density of topological structure of baryonic matter to a nuclear effective field theory that implements hidden symmetries emergent from strong nuclear correlations. The theory constructed is found to be consistent with no conflicts with the presently available observations in both normal nuclear matter and compact-star matter. The hidden symmetries involved are “local flavor symmetry” of the vector mesons identified to be (Seiberg-)dual to the gluons of QCD and hidden “quantum scale symmetry” with an IR fixed point with a “genuine dilaton (GD)” characterized by non-vanishing pion and dilaton decay constants. Both the skyrmion topology for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula> baryons and the fractional quantum Hall (FQH) droplet topology for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> baryons are unified in the “homogeneous/hidden” Wess–Zumino term in the hidden local symmetry (HLS) Lagrangian. The possible indispensable role of the FQH droplets in going beyond the density regime of compact stars approaching scale-chiral restoration is explored by moving toward the limit where both the dilaton and the pion go massless.https://www.mdpi.com/2073-8994/14/5/994topology for baryonshidden symmetriesultra dense mattercompact stars |
| spellingShingle | Mannque Rho Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter Symmetry topology for baryons hidden symmetries ultra dense matter compact stars |
| title | Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter |
| title_full | Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter |
| title_fullStr | Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter |
| title_full_unstemmed | Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter |
| title_short | Mapping Topology of Skyrmions and Fractional Quantum Hall Droplets to Nuclear EFT for Ultra-Dense Baryonic Matter |
| title_sort | mapping topology of skyrmions and fractional quantum hall droplets to nuclear eft for ultra dense baryonic matter |
| topic | topology for baryons hidden symmetries ultra dense matter compact stars |
| url | https://www.mdpi.com/2073-8994/14/5/994 |
| work_keys_str_mv | AT mannquerho mappingtopologyofskyrmionsandfractionalquantumhalldropletstonucleareftforultradensebaryonicmatter |