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We construct a family of compatible linear Poisson brackets for Lax equations and equations of zero curvature with a spectral parameter.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 164, pp. 176–188, 1987. 相似文献
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Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 80, No. 2, pp. 313–320, August, 1989. 相似文献
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Masood Aryapoor 《Advances in Mathematics》2010,224(5):2022-2051
We study the self-dual Yang-Mills equations in split signature. We give a special solution, called the basic split instanton, and describe the ADHM construction in the split signature. Moreover a split version of t'Hooft ansatz is described. 相似文献
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A. V. Marshakov 《Theoretical and Mathematical Physics》1997,112(1):791-826
We discuss the properties ofN=2 supersymmetric gauge theories underlying the Seiberg-Witten hypothesis. We consider the main points of the theory that
describes the finite-gap solutions to integrable equations in terms of complex curves and generating differentials. We clarify
the invariant meaning of these definitions. This formalism is applied to the exact nonperturbative solutions found recently
in theN=2 supersymmetric non-Abelian gauge theories. In the known cases, we compare this formalism with the results that can be obtained
using standard quantum field-theory methods.
The paper was written at the request of the Editorial Board.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 112, No. 1, pp. 3–46, July, 1997. 相似文献
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K. V. Stepanyantz 《Proceedings of the Steklov Institute of Mathematics》2011,272(1):256-265
A variant of the higher covariant derivative regularization is used for calculation of a two-loop β-function for the general renormalizable N = 1 supersymmetric theory. It is shown that the β-function is given by integrals of total derivatives. Partially this can be explained by substituting solutions of Slavnov-Taylor
identities into the Schwinger-Dyson equations. 相似文献
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V. N. Sushch 《Mathematical Notes》1997,61(5):621-631
Two discrete models of Yang-Mill equations are constructed in the space ℝn for some matrix-valued Lie group. A gauge-invariant discrete model is examined.
Translated fromMatematicheskie Zametki, Vol. 61, No. 5, pp. 742–754, May, 1997.
Translated by O. V. Sipacheva 相似文献
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A. D. Popov 《Theoretical and Mathematical Physics》1991,89(3):1297-1304
V. A. Steklov Mathematics Institute, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 3, pp. 402–412, December, 1991. 相似文献
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Yvonne Choquet-Bruhat 《Milan Journal of Mathematics》1982,52(1):247-259
Survey of recent results on the global solutions of hyperbolic Yang-Mills equations. 相似文献
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D. O’Connor 《Theoretical and Mathematical Physics》2011,169(1):1405-1412
In a simple example of a bosonic three-matrix model, we show how a background geometry can condense as the temperature or coupling constant passes through a critical value. We show that this example belongs to a new universality class of phase transitions where the background geometry is itself emergent. 相似文献
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Annika Lang 《Journal of Computational and Applied Mathematics》2010,234(12):3387-3396
In this paper, a stochastic mean square version of Lax’s equivalence theorem for Hilbert space valued stochastic differential equations with additive and multiplicative noise is proved. Definitions for consistency, stability, and convergence in mean square of an approximation of a stochastic differential equation are given and it is shown that these notions imply similar results as those known for approximations of deterministic partial differential equations. Examples show that the assumptions made are met by standard approximations. 相似文献