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The a-function for gauge theories
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DOI：10.1007/JHEP01(2015)138.png)
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摘要
En 中文
The a-function is a proposed quantity defined for quantum field theories which has a monotonic behaviour along renormalisation group flows, being related to the beta-functions via a gradient flow equation involving a positive definite metric. We construct the a-function at four-loop order for a general gauge theory with fermions and scalars, using only one and two loop beta-functions; we are then able to provide a stringent consistency check on the general three-loop gauge beta-function. In the case of an N = 1 supersymmetric gauge theory, we present a general condition on the chiral field anomalous dimension which guarantees an exact all-orders expression for the a-function; and we verify this up to fifth order (corresponding to the three-loop anomalous dimension).
Keyword:
Renormalization Group
Supersymmetric gauge theory
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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Two-loop parameter relations between dimensional regularization and dimensional reduction applied to SUSY-QCD.png)
PHYSICS LETTERS BOAAI
PHYSICS LETTERS BIF4.5
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