Abstract
We consider the deformation of Abelian integrals which arose from the study of Sine-Gordon form factors. Besides the known properties, the deformed integrals are shown to satisfy Riemann bilinear identity. The deformation of the intersection number of cycles on a hyperelliptic curve is introduced.
Similar content being viewed by others
References
Smirnov, F. A.:J. Phys. A 19 (1986), L575.
Smirnov, F. A.:Form Factors in Completely Integrable Models of Quantum Field Theory, Adv. Series in Math. Phys. 14, World Scientific, Singapore, 1992.
Smirnov, F. A.:Internat. J. Math. Phys. A 7, suppl.1B (1992), 813.
Smirnov, F. A.:Comm. Math. Phys. 155 (1993), 459.
Jimbo, M., Kojima, T., Miwa, T. and Quano, Y-H.:J. Phys. A 27 (1994), 3267.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Smirnov, F.A. On the deformation of Abelian integrals. Lett Math Phys 36, 267–275 (1996). https://doi.org/10.1007/BF00943279
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00943279