Abstract
In this work we investigate lump-like solutions in models described by a single real scalar field. We start considering non-topological solutions with the usual lump-like form, and then we study other models, where the bell-shape profile may have a varying amplitude and width or develop a flat plateau at its top or even induce a lump on top of another lump. We suggest possible applications in which these exotic solutions might be used in several distinct branches of physics.
Similar content being viewed by others
References
R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982)
L. Wilets, Non topological solitons (World Scientific, Singapore, 1989)
A. Vilenkin, E.P.S. Shellard, Cosmic Strings and Other Topological Defects (Cambridge UP, Cambridge, UK, 1994)
N. Manton, P. Sutcliffe, Topological Solitons (Cambridge UP, Cambridge, UK, 2004)
G.B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974)
A.H. Eschenfelder, Magnetic Bubble Technology (Springer, Berlin, 1981)
A.S. Davidov, Solitons in Molecular Systems (Kluwer, Dordrecht, 1981)
J.D. Murray, Mathematical Biology (Springer, Berlin, 1989)
D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1997)
G.P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, 1995)
Y.S. Kivshar, B. Luther-Davies, Phys. Rep. 298, 81 (1998)
M. Bucher, D.N. Spergel, Phys. Rev. D 60, 043505 (1999)
P.P. Avelino, C.J.A. Martins, J. Menezes, R. Menezes, J.C.R.E. Oliveira, Phys. Rev. D 73, 123519 (2006)
N. Arkani-Hamed, S. Dimopoulos, G. Dvali, Phys. Lett. B 429, 263 (1998)
L. Randall, R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999)
W.D. Goldberger, M.B. Wise, Phys. Rev. Lett. 83, 4922 (1999)
O. DeWolfe, D.Z. Freedman, S.S. Gubser, A. Karch, Phys. Rev. D 62, 046008 (2000)
S. Pnevmatikos, Phys. Rev. Lett. 60, 1534 (1988)
J.-Z. Xu, J.-N. Huang, Phys. Lett. A 197, 127 (1995)
J.-Z. Xu, B. Zhou, Phys. Lett. A 210, 307 (1996)
D. Bazeia, J.R. Nascimento, D. Toledo, Phys. Lett. A 228, 357 (1997)
D. Bazeia, V.B.P. Leite, B.H.B. Lima, F. Moraes, Chem. Phys. Lett. 340, 205 (2001)
H.A. Haus, W.S. Wong, Rev. Mod. Phys. 68, 423 (1996)
J.A. Frieman, G.B. Gelmini, M. Gleiser, E.W. Kolb, Phys. Rev. Lett. 60, 2101 (1988)
A.L. MacPherson, B.A. Campbell, Phys. Lett. B 347, 205 (1995)
J.R. Morris, D. Bazeia, Phys. Rev. D 54, 5217 (1996)
D. Coulson, Z. Lalak, B. Ovrut, Phys. Rev. D 53, 4237 (1996)
M.Y. Khlopov, Cosmoparticle Physics (World Scientific, Singapore, 1999)
S. Coleman, Nucl. Phys. B 262, 263 (1985)
G. Dvali, A. Kusenko, M. Shaposhnikov, Phys. Lett. B 417, 99 (1998)
A. Kusenko, M. Shaposhnikov, Phys. Lett. B 418, 46 (1998)
T. Matsuda, Phys. Rev. D 68, 127302 (2003)
A. Sen, Int. J. Mod. Phys. A 20, 5513 (2005)
B. Zwiebach, JHEP 0009, 028 (2000)
J.A. Minahan, B. Zwiebach, JHEP 0009, 029 (2000)
B. Fuchs, E.W. Mielke, MNRAS 350, 707 (2004)
F.E. Schunck, B. Fuchs, E.W. Mielke, MNRAS 369, 485 (2006)
D. Stojkovic, Phys. Rev. D 67, 045012 (2003)
M. Giovannini, Phys. Rev. D 75, 064023 (2007)
J. Wess, J. Bagger, Supersymmetry and Supergravity (Princeton UP, Princeton, 1992)
D. Bazeia, Phys. Rev. D 60, 067705 (1999)
D. Bazeia, L. Losano, J.M.C. Malbouisson, Phys. Rev. 66, 101701(R) (2002)
D. Bazeia, J. Menezes, R. Menezes, Phys. Rev. Lett. 91, 241601 (2003)
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS
11.27.+d; 11.25.-w; 98.35.Gi; 98.80.Cq
Rights and permissions
About this article
Cite this article
Avelar, A., Bazeia, D., Losano, L. et al. New lump-like structures in scalar-field models. Eur. Phys. J. C 55, 133–143 (2008). https://doi.org/10.1140/epjc/s10052-008-0578-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjc/s10052-008-0578-6