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Manuscript Title: Regularization of multi-soliton form factors in sine-Gordon model | ||

Authors: T. Pálmai | ||

Program title: SGFF | ||

Catalogue identifier: AEMG_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 183(2012)1813 | ||

Programming language: Mathematica [1]. | ||

Computer: PC. | ||

Operating system: Cross-platform. | ||

Keywords: Integrable quantum field theories, Form factors, 1+1 dimensional sine-Gordon model. | ||

PACS: 11.10.Kk. | ||

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. | ||

Solution method: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. | ||

Running time: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. | ||

References: | ||

[1] | Wolfram Research, Inc., Mathematica Edition: Version 7.0 (Wolfram Research, Inc., Champaign, Illinois, 2008) |

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