منابع مشابه
M ay 2 00 8 Invariants from classical field theory
We introduce a method that generates invariant functions from perturbative classical field theories depending on external parameters. Applying our methods to several field theories such as abelian BF , Chern-Simons and 2-dimensional Yang-Mills theory, we obtain, respectively, the linking number for embedded submanifolds in compact varieties, the Gauss’ and the second Milnor’s invariant for link...
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We consider the Non-Abelian Chern-Simons term coupled to external particles, in a gauge and diffeomorphism invariant form. The classical equations of motion are perturbativelly studied, and the on-shell action is shown to produce knot-invariants associated with the sources. The first contributions are explicitely calculated, and the corresponding knot-invariants are recognized. We conclude that...
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Taking as starting point a perturbative study of the classical equations of motion of the non-Abelian Chern-Simons theory with non dynamical sources, we obtain analytical expressions for link invariants. In order to present these expressions in a manifestly diffeomorphism-invariant form, we introduce a set of differential forms associated with submanifolds in R3, that are metric independent, an...
متن کاملM ay 2 00 7 Invariants from classical field theory Rafael Dı́az and Lorenzo Leal
We introduce a method that generates invariant functions from classical field theories depending on external parameters. We apply our method to several field theories such as abelian BF , Chern-Simons and 2-dimensional Yang-Mills theory.
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a) Energy-momentum Based on Noether’s theorem, construct the energy-momentum tensor for classical electromagnetism from the above Lagrangian. Note that the usual procedure does not result in a symmetric tensor. To remedy that, we can add to T μν a term of the form ∂λK λμν , where K is antisymmetric in its first two indices. Such an object is automatically divergenceless, so T̂ μν = T μν + ∂λK λμ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2008
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.2937075