Publication: An algebraic formula for two loop renormalization of scalar quantum field theory
An algebraic formula for two loop renormalization of scalar quantum field theory
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Jenkins, E. E., Manohar, A. V., Naterop, L., & Pagès, J. (2023). An algebraic formula for two loop renormalization of scalar quantum field theory. Journal of High Energy Physics, 2023(12), 165. https://doi.org/10.1007/jhep12(2023)165
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We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two derivatives, extending ’t Hooft’s one-loop result. The method can also be used for theories with higher derivative interactions, as long as the terms in the Lagrangian have at most one derivative acting on each field. We show that diagrams with factorizable topologies do not contribute to the renormalization group equations. The results in this paper will be combined with the geometric method
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Jenkins, E. E., Manohar, A. V., Naterop, L., & Pagès, J. (2023). An algebraic formula for two loop renormalization of scalar quantum field theory. Journal of High Energy Physics, 2023(12), 165. https://doi.org/10.1007/jhep12(2023)165