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RESEARCH PRODUCT

Asymptotic freedom in massive Yang-Mills theory

Jambul Gegelia

subject

PhysicsCoupling constantNuclear and High Energy PhysicsIntroduction to gauge theoryHigh Energy Physics::LatticeLattice field theoryAsymptotic safety in quantum gravityFOS: Physical sciencesYang–Mills theoryHigh Energy Physics - PhenomenologyHigh Energy Physics::TheoryHigh Energy Physics - Phenomenology (hep-ph)Quantum electrodynamicsEffective field theoryBeta function (physics)Ultraviolet fixed pointMathematical physics

description

An effective field theory model of the massive Yang-Mills theory is considered. Assuming that the renormalized coupling constants of 'non-renormalizable' interactions are suppressed by a large scale parameter it is shown that in analogy to the non-abelian gauge invariant theory the dimensionless coupling constant vanishes logarithmically for large values of the renormalization scale parameter.

https://doi.org/10.1103/physrevd.75.087704