TL;DR
This paper tests conjectured C-theorems in four-dimensional quantum field theories using exact results from N=1 supersymmetric gauge theories, providing evidence for the irreversibility of renormalization group flow.
Contribution
It offers the first non-perturbative tests of 4D C-theorems using exact supersymmetric results, supporting their validity.
Findings
Flow towards IR is consistent with C-theorem proposals
Supports irreversibility of RG flow in 4D QFTs
Provides non-perturbative evidence for C-theorems
Abstract
A proof for a non-perturbative C-theorem in four dimensions, capturing the irreversibility of the renormalization group flow in the space of unitary quantum field theories, has not been accomplished, yet. We test the conjectured C-theorems using the exact results recently obtained in N=1 supersymmetric gauge theories. We find that the flow towards the infrared region is consistent with the main proposals for a C-theorem.
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