Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aemg_v1_0.tar.gz(15 Kbytes)|
|Manuscript Title: Regularization of multi-soliton form factors in sine-Gordon model|
|Authors: T. Pálmai|
|Program title: SGFF|
|Catalogue identifier: AEMG_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 183(2012)1813|
|Programming language: Mathematica .|
|Operating system: Cross-platform.|
|Keywords: Integrable quantum field theories, Form factors, 1+1 dimensional sine-Gordon model.|
|Classification: 7.7, 11.1, 23.|
Nature of problem:
The multi-soliton form factors of the sine-Gordon model (relevant in two dimensional physics) were given only by highly nontrivial integral representation with a limited domain of convergence. Practical applications of the form factors, e.g. calculation of correlation functions in two dimensional condensed matter systems, were not possible in general.
Using analytic continuation techniques an efficient algorithm is found and implemented in Mathematica, which provides a general and systematic way to calculate multi-soliton form factors in the sine-Gordon model. The package contains routines to compute the two-, four- and six-soliton form factors.
Strongly dependent on the desired accuracy and the number of solitons. For physical rapidities after an initialization of about 30 s, the calculation of the two-, four- and six-soliton form factors at a single point takes approximately 0.5 s, 2.5 s and 8 s, respectively.
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