Abstract
We look for topological BPS solutions of an Abelian Maxwell–Higgs theory endowed by non-standard kinetic terms to both gauge and scalar fields. Here, the non-usual dynamics are controlled by two positive functions, G(|ϕ|) and w(|ϕ|), which are related to the self-dual scalar potential V(|ϕ|) of the model by a fundamental constraint. The numerical results we found present interesting new features, and contribute to the development of the recent issue concerning the study of generalized models and their applications.
Similar content being viewed by others
References
D. Finkelstein, J. Math. Phys. 7, 1218 (1966)
A.A. Abrikosov, Sov. Phys. JETP 5, 1174 (1957)
H.B. Nielsen, P. Olesen, Nucl. Phys. B 61, 45 (1973)
G. ’t Hooft, Nucl. Phys. B 79, 276 (1974)
A.M. Polyakov, JETP Lett. 20, 194 (1974)
A. Vilenkin, E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge University Press, Cambridge, 1994)
N. Manton, P. Sutcliffe, Topological Solitons (Cambridge University Press, Cambridge, 2004)
E. Bogomol’nyi, Sov. J. Nucl. Phys. 24, 449 (1976)
M. Prasad, C. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)
E. Babichev, V. Mukhanov, A. Vikman, J. High Energy Phys. 02, 101 (2008)
C. Armendariz-Picon, T. Damour, V. Mukhanov, Phys. Lett. B 458, 209 (1999)
V. Mukhanov, A. Vikman, J. Cosmol. Astropart. Phys. 02, 004 (2005)
C. Armendariz-Picon, E.A. Lim, J. Cosmol. Astropart. Phys. 08, 007 (2005)
A. Sen, J. High Energy Phys. 07, 065 (2002)
J. Garriga, V. Mukhanov, Phys. Lett. B 458, 219 (1999)
R.J. Scherrer, Phys. Rev. Lett. 93, 011301 (2004)
A.D. Rendall, Class. Quantum Gravity 23, 1557 (2006)
T.H.R. Skyrme, Proc. R. Soc. A 260, 127 (1961)
L. Faddeev, A.J. Niemi, Phys. Rev. Lett. 82, 1624 (1999)
D.A. Nicole, J. Phys. G 4, 1363 (1978)
S. Deser, M.J. Du, C.J. Isham, Nucl. Phys. B 114, 29 (1976)
H. Aratyn, L.A. Ferreira, A.H. Zimerman, Phys. Rev. Lett. 83, 1723 (1999)
D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003)
C. Adam, J. Sanchez-Guillen, R.A. Vazquez, J.A. Wereszczynski, J. Math. Phys. 47, 052302 (2006)
T.H.R. Skyrme, Proc. R. Soc. A 262, 237 (1961)
D. Bazeia, E. da Hora, C. dos Santos, R. Menezes, Phys. Rev. D 81, 125014 (2010)
D. Bazeia, E. da Hora, R. Menezes, H.P. de Oliveira, C. dos Santos, Phys. Rev. D 81, 125016 (2010)
C. dos Santos, E. da Hora, Eur. Phys. J. C 70, 1145 (2010)
C. dos Santos, E. da Hora, Eur. Phys. J. C 71, 1519 (2011)
C. dos Santos, Phys. Rev. D 82, 125009 (2010)
C. Adam, N. Grandi, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 41, 212004 (2008). Erratum-ibid. A 42, 159801 (2009)
C. Adam, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 40, 13625 (2007). Erratum-ibid. A 42, 159801 (2009)
C. Adam, N. Grandi, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 41, 375401 (2008)
C. Adam, P. Klimas, J. Sanchez-Guillen, A. Wereszczynski, J. Phys. A 42, 135401 (2009)
E. Babichev, Phys. Rev. D 74, 085004 (2006)
D. Bazeia, L. Losano, R. Menezes, J.C.R.E. Oliveira, Eur. Phys. J. C 51, 953 (2007)
X. Jin, X. Li, D. Liu, Class. Quantum Gravity 24, 2773 (2007)
P. Rosenau, J.M. Hyman, Phys. Rev. Lett. 70, 564 (1993)
P. Rousenau, E. Kashdan, Phys. Rev. Lett. 104, 034101 (2010)
D. Bazeia, Phys. Rev. D 46, 1879 (1992)
R. Friedberg, T.D. Lee, Phys. Rev. D 15, 1694 (1977)
R. Friedberg, T.D. Lee, Phys. Rev. D 16, 1096 (1977)
R. Friedberg, T.D. Lee, Phys. Rev. D 18, 2623 (1978)
M.N. Barreto, D. Bazeia, R. Menezes, Phys. Rev. D 73, 065015 (2006)
D. Bazeia, M.M. Ferreira Jr., A.R. Gomes, R. Menezes, Physica D 239, 942 (2010)
R. Casana, M.M. Ferreira Jr., E. da Hora, C.M. Cantanhede, arXiv:1109.2981v1 [hep-th]
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bazeia, D., da Hora, E., dos Santos, C. et al. BPS solutions to a generalized Maxwell–Higgs model. Eur. Phys. J. C 71, 1833 (2011). https://doi.org/10.1140/epjc/s10052-011-1833-9
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-011-1833-9