A note on BPS vortex bound states
In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analyzing the...
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Published in | Physics letters. B Vol. 753; no. C; pp. 29 - 33 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
10.02.2016
Elsevier |
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Abstract | In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analyzing the spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. A few of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed. |
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AbstractList | In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analyzing the spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. A few of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed. |
Author | Alonso-Izquierdo, A. Garcia Fuertes, W. Mateos Guilarte, J. |
Author_xml | – sequence: 1 givenname: A. surname: Alonso-Izquierdo fullname: Alonso-Izquierdo, A. email: alonsoiz@usal.es organization: Departamento de Matematica Aplicada, Universidad de Salamanca, Spain – sequence: 2 givenname: W. surname: Garcia Fuertes fullname: Garcia Fuertes, W. email: wifredo@uniovi.es organization: Departamento de Fisica, Universidad de Oviedo, Spain – sequence: 3 givenname: J. surname: Mateos Guilarte fullname: Mateos Guilarte, J. email: guilarte@usal.es organization: Departamento de Fisica Fundamental, Universidad de Salamanca, Spain |
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Cites_doi | 10.1016/0550-3213(88)90038-7 10.1016/0031-9163(64)90375-0 10.1103/PhysRevD.19.3008 10.1016/0550-3213(73)90350-7 10.1103/PhysRevD.52.4621 10.1063/1.531434 |
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Keywords | Boson-vortex bound states Abelian Higgs model Self-dual (BPS) vortices |
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References | Burzlaff, Tchrakian (br0090) 1996; 37 Abrikosov (br0010) 1957; 32 Bogomolny (br0040) 1976; 24 Jaffe, Taubes (br0060) 1980 Nielsen, Olesen (br0030) 1973; 61 Weinberg (br0070) 1979; 19 Garcia Fuertes, Mateos Guilarte (br0100) 1999; 9 Caroli, de Gennes, Matricon (br0020) 1964; 9 Goodman, Hindmarsh (br0050) 1995; 52 Ruback (br0080) 1988; 296 Burzlaff (10.1016/j.physletb.2015.11.070_br0090) 1996; 37 Caroli (10.1016/j.physletb.2015.11.070_br0020) 1964; 9 Weinberg (10.1016/j.physletb.2015.11.070_br0070) 1979; 19 Nielsen (10.1016/j.physletb.2015.11.070_br0030) 1973; 61 Jaffe (10.1016/j.physletb.2015.11.070_br0060) 1980 Garcia Fuertes (10.1016/j.physletb.2015.11.070_br0100) 1999; 9 Ruback (10.1016/j.physletb.2015.11.070_br0080) 1988; 296 Goodman (10.1016/j.physletb.2015.11.070_br0050) 1995; 52 Abrikosov (10.1016/j.physletb.2015.11.070_br0010) 1957; 32 Bogomolny (10.1016/j.physletb.2015.11.070_br0040) 1976; 24 |
References_xml | – volume: 24 start-page: 449 year: 1976 ident: br0040 article-title: Stability of classical solutions publication-title: Sov. J. Nucl. Phys. contributor: fullname: Bogomolny – volume: 296 start-page: 669 year: 1988 ident: br0080 article-title: Vortex string motion in the Abelian Higgs model publication-title: Nucl. Phys. B contributor: fullname: Ruback – volume: 37 start-page: 650 year: 1996 ident: br0090 article-title: Zero modes of rotationally symmetric generalized vortices and vortex scattering publication-title: J. Math. Phys. contributor: fullname: Tchrakian – volume: 61 start-page: 45 year: 1973 ident: br0030 article-title: Vortex lines models for dual strings publication-title: Nucl. Phys. B contributor: fullname: Olesen – year: 1980 ident: br0060 article-title: Vortices and Monopoles contributor: fullname: Taubes – volume: 9 start-page: 167 year: 1999 ident: br0100 article-title: Low energy vortex dynamics in Abelian Higgs systems publication-title: Eur. Phys. J. C contributor: fullname: Mateos Guilarte – volume: 32 start-page: 1442 year: 1957 ident: br0010 article-title: On the magnetic properties of superconductors of the second group publication-title: Sov. Phys. JETP contributor: fullname: Abrikosov – volume: 52 start-page: 4621 year: 1995 end-page: 4632 ident: br0050 article-title: Bound states and instabilities of vortices publication-title: Phys. Rev. D contributor: fullname: Hindmarsh – volume: 19 start-page: 3008 year: 1979 ident: br0070 article-title: Multivortex solutions of the Ginzburg–Landau equations publication-title: Phys. Rev. D contributor: fullname: Weinberg – volume: 9 start-page: 307 year: 1964 ident: br0020 article-title: Bound fermion states on a vortex line in a Type II superconductor publication-title: Phys. Lett. contributor: fullname: Matricon – volume: 32 start-page: 1442 year: 1957 ident: 10.1016/j.physletb.2015.11.070_br0010 article-title: On the magnetic properties of superconductors of the second group publication-title: Sov. Phys. JETP contributor: fullname: Abrikosov – year: 1980 ident: 10.1016/j.physletb.2015.11.070_br0060 contributor: fullname: Jaffe – volume: 296 start-page: 669 year: 1988 ident: 10.1016/j.physletb.2015.11.070_br0080 article-title: Vortex string motion in the Abelian Higgs model publication-title: Nucl. Phys. B doi: 10.1016/0550-3213(88)90038-7 contributor: fullname: Ruback – volume: 9 start-page: 307 year: 1964 ident: 10.1016/j.physletb.2015.11.070_br0020 article-title: Bound fermion states on a vortex line in a Type II superconductor publication-title: Phys. Lett. doi: 10.1016/0031-9163(64)90375-0 contributor: fullname: Caroli – volume: 19 start-page: 3008 year: 1979 ident: 10.1016/j.physletb.2015.11.070_br0070 article-title: Multivortex solutions of the Ginzburg–Landau equations publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.19.3008 contributor: fullname: Weinberg – volume: 61 start-page: 45 year: 1973 ident: 10.1016/j.physletb.2015.11.070_br0030 article-title: Vortex lines models for dual strings publication-title: Nucl. Phys. B doi: 10.1016/0550-3213(73)90350-7 contributor: fullname: Nielsen – volume: 24 start-page: 449 year: 1976 ident: 10.1016/j.physletb.2015.11.070_br0040 article-title: Stability of classical solutions publication-title: Sov. J. Nucl. Phys. contributor: fullname: Bogomolny – volume: 9 start-page: 167 year: 1999 ident: 10.1016/j.physletb.2015.11.070_br0100 article-title: Low energy vortex dynamics in Abelian Higgs systems publication-title: Eur. Phys. J. C contributor: fullname: Garcia Fuertes – volume: 52 start-page: 4621 year: 1995 ident: 10.1016/j.physletb.2015.11.070_br0050 article-title: Bound states and instabilities of vortices publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.52.4621 contributor: fullname: Goodman – volume: 37 start-page: 650 year: 1996 ident: 10.1016/j.physletb.2015.11.070_br0090 article-title: Zero modes of rotationally symmetric generalized vortices and vortex scattering publication-title: J. Math. Phys. doi: 10.1063/1.531434 contributor: fullname: Burzlaff |
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