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Gradient flows in three dimensions
- Source :
- Journal of High Energy Physics
- Publisher :
- Springer Nature
-
Abstract
- 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 demonstrate the existence of a candidate a-function for renormalisable Chern-Simons theories in three dimensions, involving scalar and fermion fields, in both non-supersymmetric and supersymmetric cases.<br />15 pages, 2 figures, uses axodraw. Revised with minor corrections; also additional clarifications and references included
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
High Energy Physics::Lattice
High Energy Physics::Phenomenology
Scalar (physics)
FOS: Physical sciences
Monotonic function
Renormalization group
High Energy Physics::Theory
High Energy Physics - Theory (hep-th)
Metric (mathematics)
Beta function (physics)
Field theory (psychology)
Quantum field theory
Balanced flow
Mathematical physics
Subjects
Details
- Language :
- English
- ISSN :
- 10298479
- Volume :
- 2015
- Issue :
- 9
- Database :
- OpenAIRE
- Journal :
- Journal of High Energy Physics
- Accession number :
- edsair.doi.dedup.....2cf2792baac6ac083c91ff40f768c751
- Full Text :
- https://doi.org/10.1007/jhep09(2015)061