Explicit closed-form solutions to QCD RG equations are derived that resum infinite series of perturbative logarithms for the running coupling and Green functions in the asymptotic limit.
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Derives recurrence relations for all-loop leading log quantum corrections and RG equations for the effective potential in SO(N) scalar theories in curved spacetime, applied to power-like potentials in the Jordan frame for inflation.
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New Solutions for RG Equations in QCD
Explicit closed-form solutions to QCD RG equations are derived that resum infinite series of perturbative logarithms for the running coupling and Green functions in the asymptotic limit.
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Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime
Derives recurrence relations for all-loop leading log quantum corrections and RG equations for the effective potential in SO(N) scalar theories in curved spacetime, applied to power-like potentials in the Jordan frame for inflation.