Journal of Mathematical Physics
Feedback | Help | Exit
Search:
   
 
 
 
Previous Article
Low-energy effective action in nonperturbative electrodynamics in curved space-time
We study the heat kernel for the Laplace-type partial differential operator acting on smooth sections of a complex spin-tensor bundle over a generic n-dimensional Riemannian manifold. Assuming that th...
Next Article
Scalar field theory in kappa-Minkowski spacetime from twist
Using the twist deformation of U(igl(4,R)), the linear part of the diffeomorphism, we define a scalar function and construct a free scalar field theory in four-dimensional -Minkowski spacetime. The ac...

Compact shell solitons in K field theories

J. Math. Phys. 50, 102303 (2009); doi:10.1063/1.3250873

Published 29 October 2009

You are not logged in to this journal. Log in

C. Adam,1 P. Klimas,1 J. Sánchez-Guillén,1 and A. Wereszczyński2
1Departamento de Fisica de Particulas, Universidad de Santiago and Instituto Galego de Fisica de Altas Enerxias (IGFAE), E-15782 Santiago de Compostela, Spain
2The Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark and Institute of Physics, Jagiellonian University, Reymonta 4, Krakow, 30-059 Poland
Some models providing shell-shaped static solutions with compact support (compactons) in 3+1 and 4+1 dimensions are introduced, and the corresponding exact solutions are calculated analytically. These solutions turn out to be topological solitons and may be classified as maps S3-->S3 and suspended Hopf maps, respectively. The Lagrangian of these models is given by a scalar field with a nonstandard kinetic term (K field) coupled to a pure Skyrme term restricted to S2, rised to the appropriate power to avoid the Derrick scaling argument. Further, the existence of infinitely many exact shell solitons is explained using the generalized integrability approach. Finally, similar models allowing for nontopological compactons of the ball type in 3+1 dimensions are briefly discussed. ©2009 American Institute of Physics
History: Received 10 June 2009; accepted 8 September 2009; published 29 October 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/102303/1
BUY THIS ARTICLE   (US$24)
Download PDF (143 kB) View Cart

KEYWORDS and PACS

Keywords
PACS
  • 11.10.Lm
    Nonlinear or nonlocal field theories and models
  • 02.40.Pc
    General topology
  • YEAR: 2009

RELATED DATABASES


To view database links for this article,
you need to log in.
To view database links for this article,
you need to log in.

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (31)
View in Separate Window/Tab
For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. H. Arodź, Acta Phys. Pol. B 33, 1241 (2002).
  2. H. Arodź, Acta Phys. Pol. B 35, 625 (2004).
  3. H. Arodź, P. Klimas, and T. Tyranowski, Acta Phys. Pol. B 36, 3861 (2005).
  4. H. Arodź, P. Klimas, and T. Tyranowski, Phys. Rev. E 73, 046609 (2006).
  5. P. Klimas, Acta Phys. Pol. B 38, 21 (2007).
  6. P. Klimas, J. Phys. A 41, 095403 (2008).
  7. H. Arodź, P. Klimas, and T. Tyranowski, Phys. Rev. D 77, 047701 (2008).
  8. G. Gaeta, T. Gramchev, and S. Walcher, J. Phys. A 40, 4493 (2007).
  9. S. Kuru, e-print arXiv:0811.0706.
  10. C. Adam, J. Sánchez-Guillén, and A. Wereszczyński, J. Phys. A 40, 13625 (2007).
  11. D. Bazeia, L. Lozano, and R. Menezes, Phys. Lett. B 668, 246 (2008).
  12. P. Rosenau and J. M. Hyman, Phys. Rev. Lett. 70, 564 (1993).
  13. F. Cooper, H. Shepard, and P. Sodano, Phys. Rev. E 48, 4027 (1993).
  14. C. Adam, N. Grandi, J. Sánchez-Guillén, and A. Wereszczyński, J. Phys. A 41, 212004 (2008).
  15. C. Adam, N. Grandi, P. Klimas, J. Sánchez-Guillén, and A. Wereszczyński, J. Phys. A 41, 375401 (2008).
  16. D. Bazeia, A. R. Gomes, L. Lozano, and R. Menezes, Phys. Lett. B 671, 402 (2009).
  17. C. Adam, P. Klimas, J. Sánchez-Guillén, and A. Wereszczyński, J. Phys. A: Math. Theor. 42, 135401 (2009).
  18. E. Babichev, Phys. Rev. D 74, 085004 (2006).
  19. J. Diaz-Alonso and D. Rubiera-Garcia, Ann. Phys. 324, 827 (2009).
  20. E. De Carli and L. A. Ferreira, J. Math. Phys. 46, 012703 (2005).
  21. A. C. Riserio do Bonfim and L. A. Ferreira, J. High Energy Phys. 03, 097 (2006).
  22. A. Vakulenko and L. Kapitansky, Sov. Phys. Dokl. 24, 433 (1979).
  23. J. G. Williams, J. Math. Phys. 11, 2611 (1970).
  24. J. M. Speight, Phys. Lett. B 659, 429 (2008).
  25. C. Adam, P. Klimas, J. Sánchez-Guillén, and A. Wereszczyński, J. Math. Phys. 50, 022301 (2009).
  26. O. Alvarez, L. A. Ferreira, and J. Sánchez-Guillén, Nucl. Phys. B 529, 689 (1998).
  27. O. Alvarez, L. A. Ferreira, and J. Sánchez-Guillén, Int. J. Mod. Phys. A 24, 1825 (2009).
  28. H. Aratyn, L. A. Ferreira, and A. Zimerman, Phys. Lett. B 456, 162 (1999).
  29. H. Aratyn, L. A. Ferreira, and A. Zimerman, Phys. Rev. Lett. 83, 1723 (1999).
  30. H. Arodz and J. Lis, Phys. Rev. D 79, 045002 (2009).
  31. B. Kleihaus, J. Kunz, C. Lammerzahl, and M. List, e-print arXiv:0902.4799.

CITING ARTICLES
For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.


Copyright © American Institute of Physics