Working with scalar field theories, we discuss choices of regulator that, inserted in the functional renormalization group equation, reproduce the results of dimensional regularization at one and two loops. The resulting flow equations can be seen as nonperturbative extensions of the MS scheme. We support this claim by recovering all the multicritical models in two dimensions. We discuss a possible generalization to any dimension. Finally, we show that the method also preserves nonlinearly realized symmetries, which is a definite advantage with respect to other regulators.
Functional renormalization and the MS scheme / Baldazzi, A.; Percacci, R.; Zambelli, L.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 103:7(2021), pp. 1-38. [10.1103/PhysRevD.103.076012]
Functional renormalization and the MS scheme
Baldazzi, A.;Percacci, R.;
2021-01-01
Abstract
Working with scalar field theories, we discuss choices of regulator that, inserted in the functional renormalization group equation, reproduce the results of dimensional regularization at one and two loops. The resulting flow equations can be seen as nonperturbative extensions of the MS scheme. We support this claim by recovering all the multicritical models in two dimensions. We discuss a possible generalization to any dimension. Finally, we show that the method also preserves nonlinearly realized symmetries, which is a definite advantage with respect to other regulators.| File | Dimensione | Formato | |
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