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The asymptotic behavior of the Chern-Simons field theory with matter in a deformed space is investigated. The asymptotic forms of effective charges are considered.Leninskii Komsomol Education Institute, Tomsk. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 45–50, June, 1992.  相似文献   

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《Nuclear Physics B》1999,559(3):673-688
In this paper the statistical mechanical problem of two topologically linked polymers is related to a topological Ginzburg-Landau model coupled to two Chern-Simons field theories. The Chern-Simons fields play the role of propagators of the topological interactions. The effects of the topological constraints is investigated using the method of effective potential in one-loop approximation.  相似文献   

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Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes’ theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and we show how, by choosing natural framings, the resulting expectation values nevertheless define a functional over gauge invariant cylindrical functions.The abelian theory considered in the present article is the test case for our method. It can also be applied to the non-abelian theory. Results will be reported in a companion article.  相似文献   

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We prove the existence of bubbling solutions for the following Chern-Simons-Higgs equation:
$ \Delta u +\frac{1}{\varepsilon^2} e^u(1-e^u) =4\pi \sum_{j=1}^N \delta_{p_j},\quad {\rm in} \, \Omega, $ \Delta u +\frac{1}{\varepsilon^2} e^u(1-e^u) =4\pi \sum_{j=1}^N \delta_{p_j},\quad {\rm in} \, \Omega,  相似文献   

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We study the ultraviolet and infrared behaviour of the Chern-Simons gauge theory with matter in curved space-time. It is shown that theory under investigation is asymptotically supersymmetric in infrared limit and asymptotically finite in ultraviolet limit. The investigation of scalar-graviton effective coupling constant behaviour shows that the theory can be asymptotically conformally invariant.  相似文献   

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