Ellipsoidal bound on the Gribov horizon contradicts the perturbative renormalization group

1989/11/01 by Gianfausto Dell'Antonio, Gianfausto Dell’Antonio, Daniel Zwanziger · 80 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Connection (principal bundle) #Euclidean geometry #Euclidean space #Fourier transform #Geometry #Group (periodic table) #Horizon #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Particle physics theoretical and experimental studies #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Upper and lower bounds

paper · doi:10.1016/0550-3213(89)90135-1

published in Nuclear Physics B 326(2), 333-350 (Elsevier BV)

crossref issued 1989/11/01 · crossref published 1989/11/01 · crossref published-print 1989/11/01 · openalex publication_date 1989/11/01 · crossref created 2002/11/12 · crossref deposited 2019/04/03 · openalex created_date 2025/10/10 · crossref indexed 2025/11/29 · openalex updated_date 2026/06/11

Citations

• Quantization of non-Abelian gauge theories

Cited by

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• Study of the gauge invariant, nonlocal mass operatorTr∫d4xFμν(D2)−1Fμνin Yang-Mills theories
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Generalized hedgehog ansatz and Gribov copies in regions with nontrivial topologies
• Infrared behavior of the gluon propagator in lattice Landau gauge
• Gribov ambiguity [wikipedia]