Minimal subtraction and the Callan-Symanzik equation
J. Naud, I. Nemenman, M. Van Raamsdonk, and V. Periwal
TL;DR
This paper demonstrates that minimal subtraction scheme enables proof of renormalizability via the Callan-Symanzik equation without normalization conditions, applied to scalar field theory and QED.
Contribution
It shows that minimal subtraction allows proving renormalizability through the Callan-Symanzik equation without normalization conditions, simplifying the traditional approach.
Findings
Renormalizability proven without normalization conditions
Applicable to scalar field theory and QED
Supports minimal subtraction scheme in renormalization
Abstract
The usual proof of renormalizability using the Callan-Symanzik equation makes explicit use of normalization conditions. It is shown that demanding that the renormalization group functions take the form required for minimal subtraction allows one to prove renormalizability using the Callan-Symanzik equation, without imposing normalization conditions. Scalar field theory and quantum electrodynamics are treated.
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