Differential Renormalization of Scalar Field Theory in the Background-Field Method

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages

Scientific paper

We introduce an approach for calculating the quantum loop corrections in the
$\phi^4$ theory. Differential regularization and background-field method are
essential tools and are used to calculate the effective action of the theory to
two-loop order. Our approach is considerably simpler than other known methods
and can be readily extended to higher-loop calculations and to other models.

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