de.mpg.escidoc.pubman.appbase.FacesBean
English
 
Help Guide Disclaimer Contact us Login
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Toda chain from the kink-antikink lattice

He, S., Jiang, Y., & Liu, J. (in preparation). Toda chain from the kink-antikink lattice.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5DF1-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002B-5DF2-A
Genre: Paper

Files

show Files
hide Files
:
1605.06867.pdf (Preprint), 261KB
Description:
File downloaded from arXiv at 2016-09-20 12:14
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
He, Song1, Author              
Jiang, Yunguo, Author
Liu, Jiazhen, Author
Affiliations:
1Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:102878              

Content

show
hide
Free keywords: High Energy Physics - Theory, hep-th,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: In this paper, we have studied the kink and antikink solutions in several neutral scalar models in 1+1 dimension. We follow the standard approach to write down the leading order and the second order force between long distance separated kink and antikink. The leading order force is proportional to exponential decay with respect to the distance between the two nearest kinks or antikinks. The second order force have a similar behavior with the larger decay factor, namely $3\over 2$. We make use of these properties to construct the kink lattice. The dynamics of the kink lattice with leading order force can be identified as ordinary nonperiodic Toda lattice. Also the periodic Toda lattice can be obtained when the number of kink lattice is even. The system of kink lattice with force up to the next order corresponds to a new specific deformation of Toda lattice system. There is no well study on this deformation in the integrable literatures.We found that the deformed Toda system are near integrable system, since the integrability are hindered by high order correction terms. Our work provides a effective theory for kink interactions and a new near or quasi integrable model.

Details

show
hide
Language(s):
 Dates: 2016-05-222016-08-01
 Publication Status: Not specified
 Pages: 20 pages no figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1605.06867
URI: http://arxiv.org/abs/1605.06867
 Degree: -

Event

show

Legal Case

show

Project information

show

Source

show