2013/06/30 by Luigi Del Debbio, Roman Zwicky · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Cosmological constant #Coupling constant #Feynman diagram #Gauge group #Gauge theory #Gluon #Gluon condensate #Hadron #Hamiltonian (control theory) #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization group #Theoretical physics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2014.05.038
11pp, version almost identical that appeared in PLB
openalex publication_date 2014/05/20 · arxiv created 2014/06/07 · arxiv updated 2014/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that the logarithmic derivative of the gauge coupling on the hadronic mass and the cosmological constant term of a gauge theory are related to the gluon condensate of the hadron and the vacuum respectively. These relations are akin to Feynman–Hellmann relations whose derivation for the case at hand is complicated by the construction of the gauge theory Hamiltonian. We bypass this problem by using a renormalisation group equation for composite operators and the trace anomaly. The relations serve as possible definitions of the gluon condensates themselves which are plagued in direct approaches by power divergences. In turn these results might help to determine the contribution of the QCD phase transition to the cosmological constant and test speculative ideas.