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• W1985331034 abstract "We introduce a simpler although unconventional minimal subtraction renormalization procedure in the case of a massive scalar λϕ4 theory in Euclidean space using dimensional regularization. We show that this method is very similar to its counterpart in massless field theory. In particular, the choice of using the bare mass at higher perturbative order instead of employing its tree-level counterpart eliminates all tadpole insertions at that order. As an application, we compute diagrammatically the critical exponents η and ν at least up to two loops. We perform an explicit comparison with the Bogoliubov-Parasyuk-Hepp-Zimmermann (BPHZ) method at the same loop order, show that the proposed method requires fewer diagrams and establish a connection between the two approaches." @default.
• W1985331034 created "2016-06-24" @default.
• W1985331034 creator A5004413009 @default.
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• W1985331034 date "2013-09-01" @default.
• W1985331034 modified "2023-10-18" @default.
• W1985331034 title "Unconventional minimal subtraction and Bogoliubov-Parasyuk-Hepp-Zimmermann method: Massive scalar theory and critical exponents" @default.
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• W1985331034 doi "https://doi.org/10.1063/1.4819259" @default.
• W1985331034 hasPublicationYear "2013" @default.
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