φ4 kinks - Gradient flow and dynamics

Nonlinearity

Volumn 10, Issue 1, 1997, Pages 3-18

  Manton, N S ^a   Merabet, H ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010350856     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/1/002     Document Type: Article

References (20)

1. Ames W F 1992 Numerical Methods for Partial Differential Equations 3rd edn (Boston, MA: Academic)
2. Arnold V I 1978 Mathematical Mcthods of Classical Mechanics (New York: Springer)
3. Atiyah M F and Manlon N S 1993 Geometry and kinematics of two Skyrmions Commun. Math. Phys. 153 391-422
4. Balitsky I I and Yung A V 1986 Collective coordinate method for quasizero modes Phys. Lett. 168B 113-19 Yung A V 1988 Instanton vacuum in supersymmetric QCD Nucl. Phys. B 297 47-85
5. Balitsky I I and Yung A V 1986 Collective coordinate method for quasizero modes Phys. Lett. 168B 113-19 Yung A V 1988 Instanton vacuum in supersymmetric QCD Nucl. Phys. B 297 47-85
6. 4 theory Physica D 9 1-32
7. Demoulini S and Stuart D Gradient flow of the superconducting Ginzburg-Landau functional on the plane Commun. Anal. Geom. to appear Stuart D 1996 Interaction of superconducting vortices and asymptotics of the Ginzburg-Landau flow Appl. Math. Lett. 9 27-31
8. Demoulini S and Stuart D Gradient flow of the superconducting Ginzburg-Landau functional on the plane Commun. Anal. Geom. to appear Stuart D 1996 Interaction of superconducting vortices and asymptotics of the Ginzburg-Landau flow Appl. Math. Lett. 9 27-31
9. Hale J K, Magalhaes L T and Oliva W M 1983 Introduction to Infinite Dimensional Dynamical Systems-Geometric Theory (Applied Math. Sciences 47) (New York: Springer)
10. Jacobs L and Rebbi C 1979 Interaction energy of superconducting vortices Phys. Rev. B 19 4486-94
11. Landau L D and Lifshitz E M 1976 Mechanics 3rd edn (Oxford: Pergamon) ch 5
12. Manton N S 1979 An effective Lagrangian for solitons Nucl. Phys. B 150 397-412
13. Manton N S 1982 A remark on the scattering of BPS monopoles Phys. Lett. 110B 54-6
14. Manton N S 1988 Unstable manifolds and solitons dynamics Phys. Rev. Lett. 60 1916-19
15. Rajaraman R 1992 Solitons and Instantons in Quantum Field Theory (Amsterdam: North-Holland)
16. 4 and sine-Gordon theory J. Math. Phys. 24 1439-43
17. Shah P A 1994 Vortex scattering at near critical coupling Nucl. Phys. B 429 259-76
18. Stuart D 1994 Dynamics of Abelian Higgs vortices in the near Bogomolny regime Commun. Math. Phys. 159 51-91
19. Stuart D 1995 The geodesic approximation for the Yang-Mills-Higgs equations Commun. Math. Phys. 166 149-90
20. Waindzoch T and Wambach J 1996 Stability of the B = 2 hedgehog in the Skyrme model Nucl. Phys. A 602 347-74