Constraints on RG flow for four dimensional quantum field theories

DOI10.1016/j.nuclphysb.2014.03.018zbMath1323.81071arXiv1312.0428OpenAlexW1964972762MaRDI QIDQ887555

N. E. Zubov

Publication date: 26 October 2015

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0428

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) Anomalies in quantum field theory (81T50) Renormalization group methods applied to problems in quantum field theory (81T17)

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Uses Software

• Mincer
• FORM

Cites Work

• The local callan-symanzik equation: structure and applications
• The \(a\)-theorem and the asymptotics of 4D quantum field theory
• RG flows in \(d\) dimensions, the dilaton effective action, and the \(a\)-theorem
• Consequences of Weyl consistency conditions
• Limit cycles and conformal invariance
• Evidence for the strongest version of the 4d \(a\)-theorem via \(a\)-maximization along RG flows
• Lagrange multipliers and couplings in supersymmetric field theory
• Correlation functions of the energy-momentum tensor on spaces of constant curvature
• The constraints of conformal symmetry on RG flows
• Curvature formula for the space of 2-d conformal field theories
• \(N=1\) supersymmetry and the three-loop anomalous dimension for the chiral superfield
• Topological anti-topological fusion in four-dimensional superconformal field theories
• On metric geometry of conformal moduli spaces of four-dimensional superconformal theories
• On limit cycles in supersymmetric theories
• Consistency of local renormalization group in \(d=3\)
• SCALE INVARIANCE VS CONFORMAL INVARIANCE FROM HOLOGRAPHY