Turkish Journal of Physics

Gauge Equations in Method of Functional Integration




The principle of gauge invariation is the main regulation of modern quantum field theory [1-3]. Gauge invariation exactly dictates a kind of interaction between fundamental fields. The gauge fields exist in the most modern models of elementary particles. Special attention must be attached to the development of methods of the gauge field theory. In the article presented, with the help of mathematical apparatus of functional integration, the gauge equation for Lagrangians has been obtained which are invariant towards local transformations of groups U(1) and SU(2). With the help of generating functionals, calculated in the raw according to perturbation theory, these equations are checked in bottom orders. All calculations are madi in momentum representation.

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