Collective Coordinate Model of Kink-Antikink Collisions in φ4 Theory

被引：55
作者：
Manton, N. S. [1 ]
Oles, K. [2 ]
Romanczukiewicz, T. [2 ]
Wereszczynski, A. [2 ]
机构：
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England
[2] Jagiellonian Univ, Inst Theoret Phys, Lojasiewicza 11, PL-30348 Krakow, Poland
来源：
PHYSICAL REVIEW LETTERS | 2021年 / 127卷 / 07期
基金：
英国科学技术设施理事会;
关键词：
SCATTERING;
D O I：
10.1103/PhysRevLett.127.071601
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The fractal velocity pattern in symmetric kink-antikink collisions in phi(4) theory is shown to emerge from a dynamical model with two effective moduli: the kink-antikink separation and the internal shape mode amplitude. The shape mode usefully approximates Lorentz contractions of the kink and antikink, and the previously problematic null vector in the shape mode amplitude at zero separation is regularized.
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页数：5
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共 11 条
  • [1] Spectral Walls in Soliton Collisions
    Adam, C.
    Oles, K.
    Romanczukiewicz, T.
    Wereszczynski, A.
    [J]. PHYSICAL REVIEW LETTERS, 2019, 122 (24)
  • [2] Atiyah M.F., 1988, The Geometry and Dynamics of Magnetic Monopoles
  • [3] RESONANCE STRUCTURE IN KINK ANTIKINK INTERACTIONS IN PHI-4 THEORY
    CAMPBELL, DK
    SCHONFELD, JF
    WINGATE, CA
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 1983, 9 (1-2) : 1 - 32
  • [4] Kevrekidis P. G., ARXIV190903128
  • [5] Kink moduli spaces: Collective coordinates reconsidered
    Manton, N. S.
    Oles, K.
    Romanczukiewicz, T.
    Wereszczynski, A.
    [J]. PHYSICAL REVIEW D, 2021, 103 (02)
  • [6] A REMARK ON THE SCATTERING OF BPS MONOPOLES
    MANTON, NS
    [J]. PHYSICS LETTERS B, 1982, 110 (01) : 54 - 56
  • [7] SOLITON-ANTISOLITON SCATTERING AND CAPTURE IN GAMMA-PHI-4 THEORY
    MOSHIR, M
    [J]. NUCLEAR PHYSICS B, 1981, 185 (02) : 318 - 332
  • [8] Some novel considerations about the collective coordinates approximation for the scattering of φ4 kinks
    Pereira, Carlos F. S.
    Luchini, Gabriel
    Tassis, Tadeu
    Constantinidis, Clisthenis P.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (07)
  • [9] VORTEX SCATTERING
    SAMOLS, TM
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 145 (01) : 149 - 179
  • [10] KINK-ANTIKINK COLLISIONS IN THE 2-DIMENSIONAL PHI-4 MODEL
    SUGIYAMA, T
    [J]. PROGRESS OF THEORETICAL PHYSICS, 1979, 61 (05): : 1550 - 1563
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