Quantum equation of motion and two-loop cutoff renormalization for ${\varphi }^3$ model

Abstract

We present two-loop renormalization of ${\varphi }^3$-model effective action by using the background field method and cutoff momentum regularization. In this paper, we also study a derivation of the quantum equation of motion and its application to the renormalization.

arXiv commentLaTeX, 15 pages, 3 figures; The work has been published three years ago. In this version we have made some corrections and added calculations for the counterterm

References in corpus (4)

• Wilsonian Matching of Effective Field Theory with Underlying QCD
• Diagram technique for the heat kernel of the covariant Laplace operator
• Heat kernel: proper time method, Fock-Schwinger gauge, path integral representation, and Wilson line
• Radiative Corrections, Divergences, Regularization, Renormalization, Renormalization Group and All That in Examples in Quantum Field Theory

Cited by in corpus (7)

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• On a criterion for a cutoff regularization in the coordinate representation
• Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization