Faster-than-light solitons in 1+1 dimensions

被引:2
作者
Mohammadi, M. [1 ]
Riazi, N. [2 ]
Dehghani, M. H. [1 ]
机构
[1] Persian Gulf Univ, Phys Dept, Bushehr 75169, Iran
[2] Shahid Beheshti Univ, Dept Phys, Tehran 19839, Iran
关键词
Non-topological soliton; Faster than light; Solitary wave solution; Nonlinear Klein-Gordon equation; k-field; SPECIAL RELATIVITY; EQUATION; SCATTERING; COLLISIONS; COMPACT; SPEEDS;
D O I
10.1016/j.aop.2022.168820
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The existence of a faster-than-light particle is in direct opposition to Einstein's relativity and the principle of causality. However, we show that the theory of classical relativistic fields is not inherently inconsistent with the existence of the faster-than light particle-like soliton solutions in 1 + 1 dimensions. We introduce two extended KG models (k-fields) that lead to a zero energy and a nonzero-energy stable particle-like solution with faster-than light speeds, respectively. (c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数:14
相关论文
共 89 条
[1]   K-defects as compactons [J].
Adam, C. ;
Sanchez-Guillen, J. ;
Wereszczynski, A. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (45) :13625-13643
[2]  
Anagnostopoulos KN, 2001, PHYS REV D, V64, DOI 10.1103/PhysRevD.64.125006
[3]   Dynamical solution to the problem of a small cosmological constant and late-time cosmic acceleration [J].
Armendariz-Picon, C ;
Mukhanov, V ;
Steinhardt, PJ .
PHYSICAL REVIEW LETTERS, 2000, 85 (21) :4438-4441
[4]   k-Inflation [J].
Armendáriz-Picón, C ;
Damour, T ;
Mukhanov, V .
PHYSICS LETTERS B, 1999, 458 (2-3) :209-218
[5]   Haloes of k-essence [J].
Armendariz-Picon, C ;
Lim, EA .
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2005, (08) :113-139
[6]   Complex speeds and special relativity [J].
Asaro, C .
AMERICAN JOURNAL OF PHYSICS, 1996, 64 (04) :421-429
[7]   Dynamics of nontopological solitons:: Q balls -: art. no. 085006 [J].
Axenides, M ;
Komineas, S ;
Perivolaropoulos, L ;
Floratos, M .
PHYSICAL REVIEW D, 2000, 61 (08)
[8]   Global topological k-defects [J].
Babichev, E. .
PHYSICAL REVIEW D, 2006, 74 (08)
[9]   Generalized global defect solutions [J].
Bazeia, D. ;
Losano, L. ;
Menezes, R. ;
Oliveira, J. C. R. E. .
EUROPEAN PHYSICAL JOURNAL C, 2007, 51 (04) :953-962
[10]   Analytical study of kinklike structures with polynomial tails [J].
Bazeia, D. ;
Menezes, R. ;
Moreira, D. C. .
JOURNAL OF PHYSICS COMMUNICATIONS, 2018, 2 (05)