Limit cycles in four dimensions

DOI10.1007/JHEP12(2012)112zbMath1397.81145arXiv1206.2921OpenAlexW2005281852MaRDI QIDQ1796224

Benjamín Grinstein, Jean-François Fortin, Andreas Stergiou

Publication date: 16 October 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2921

zbMATH Keywords

renormalization groupconformal and W symmetryspace-time symmetries

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15)

Related Items

The \(a\)-theorem and the asymptotics of 4D quantum field theory, The \(a\)-theorem and conformal symmetry breaking in holographic RG flows, Dualities from higher-spin supergravity, Perturbative \(c\)-theorem in \(d\)-dimensions, Emergent supersymmetry in the marginal deformations of \( \mathcal{N}=4 \) SYM, Weyl consistency conditions in non-relativistic quantum field theory, On scale and conformal invariance in four dimensions, Consequences of Weyl consistency conditions, Running couplings with a vanishing scale anomaly, Limit cycles and conformal invariance, On ambiguities and divergences in perturbative renormalization group functions, General gauge-Yukawa-quartic \(\beta\)-functions at 4-3-2-loop order

Uses Software

• FORM

Cites Work

• Holographic renormalization of foliation preserving gravity and trace anomaly
• Limit cycles and conformal invariance
• Evidence for the strongest version of the 4d \(a\)-theorem via \(a\)-maximization along RG flows
• Beta functions and anomalous dimensions up to three loops
• The constraints of conformal symmetry on RG flows
• On renormalization group flows and the \(a\)-theorem in 6d
• On renormalization group flows in four dimensions
• GRAVITY DUAL FOR CYCLIC RENORMALIZATION GROUP FLOW WITHOUT CONFORMAL INVARIANCE
• Three loop gauge \(\beta\)-function for the most general single gauge-coupling theory