Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions
Abstract We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic excitations in such systems as independent spin (boosts) a...
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)088 |
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| author | Laith H. Haddad |
| author_facet | Laith H. Haddad |
| author_sort | Laith H. Haddad |
| collection | DOAJ |
| description | Abstract We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic excitations in such systems as independent spin (boosts) and charge (fermion number) degrees of freedom. A necessary ingredient is the presence of broken U(1) symmetry in the pairing field and decoupling of its density and phase. In the fermion sector, these elements give rise to an emergent spin-dependent gauge coupling which binds in-vacuum spin and charge into elementary fermions, while driving proliferation of unbound spin and charge for finite condensation in the pairing field. Notably, the onset of spin-charge separation is signaled by PT $$ \mathcal{PT} $$ -symmetry breaking and decoupling of spin components under Lorentz transformations. Our investigation concludes with two theorems that identify generic features of spin-charge separation in such systems. |
| format | Article |
| id | doaj-art-b7574c16f5ca4af18ca501aa968329f4 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b7574c16f5ca4af18ca501aa968329f42024-12-08T12:09:34ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241112010.1007/JHEP11(2024)088Spin-charge separation for paired Dirac fermions in (1 + 1) dimensionsLaith H. Haddad0Department of Physics, Colorado School of MinesAbstract We study Dirac fermions at finite density coupled to a complex pairing field assumed to obey scalar field theory with quartic self-repulsion. The bulk of our work develops the mathematics that elucidates the propagation of fermionic excitations in such systems as independent spin (boosts) and charge (fermion number) degrees of freedom. A necessary ingredient is the presence of broken U(1) symmetry in the pairing field and decoupling of its density and phase. In the fermion sector, these elements give rise to an emergent spin-dependent gauge coupling which binds in-vacuum spin and charge into elementary fermions, while driving proliferation of unbound spin and charge for finite condensation in the pairing field. Notably, the onset of spin-charge separation is signaled by PT $$ \mathcal{PT} $$ -symmetry breaking and decoupling of spin components under Lorentz transformations. Our investigation concludes with two theorems that identify generic features of spin-charge separation in such systems.https://doi.org/10.1007/JHEP11(2024)088Effective Field TheoriesEffective Field Theories of QCDField Theories in Lower DimensionsIntegrable Field Theories |
| spellingShingle | Laith H. Haddad Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions Journal of High Energy Physics Effective Field Theories Effective Field Theories of QCD Field Theories in Lower Dimensions Integrable Field Theories |
| title | Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions |
| title_full | Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions |
| title_fullStr | Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions |
| title_full_unstemmed | Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions |
| title_short | Spin-charge separation for paired Dirac fermions in (1 + 1) dimensions |
| title_sort | spin charge separation for paired dirac fermions in 1 1 dimensions |
| topic | Effective Field Theories Effective Field Theories of QCD Field Theories in Lower Dimensions Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP11(2024)088 |
| work_keys_str_mv | AT laithhhaddad spinchargeseparationforpaireddiracfermionsin11dimensions |