Asymptotic freedom using a gluon mass as a regulator
arXiv:2301.08464 · doi:10.1051/epjconf/202227402006
Abstract
Front-Form Hamiltonian dynamics provides a framework in which QCD's vacuum is simple and states are boost invariant. However, canonical expressions are divergent and must be regulated in order to establish well-defined eigenvalue problems. The Renormalization Group Procedure for Effective Particles (RGPEP) provides a systematic way of finding counterterms and obtaining regulated Hamiltonians. Among its achievements is the description of asymptotic freedom, with a running coupling constant defined as the coefficient in front of the three gluon-vertex operators in the regulated Hamiltonian. However, the obtained results need a deeper understanding, since the coupling exhibits a finite dependence on the regularization functions, at least at the third-order term in the perturbative expansion. Here we present a similar derivation using a different regularization scheme based on massive gluons. The procedure can be extended to incorporate contributions from virtual fermions.
arXiv comment7 pages, 6 figures, proceedings of ConfXV
References in corpus (13)
- Quantum Chromodynamics and Other Field Theories on the Light Cone
- JaxoDraw: A graphical user interface for drawing Feynman diagrams
- Nonperturbative Light-Front QCD
- An Infrared Safe perturbative approach to Yang-Mills correlators
- Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons
- Approximate Hamiltonian for baryons in heavy-flavor QCD
- Dynamics of Effective Gluons
- Renormalized quark-antiquark Hamiltonian induced by a gluon mass ansatz in heavy-flavor QCD
- Boost-Invariant Running Couplings in Effective Hamiltonians
- Computation of effective front form Hamiltonians for massive Abelian gauge theory
- Massive Abelian gauge bosons in front-form Hamiltonians
- Effective particles in quantum field theory
- From asymptotic freedom toward heavy quarkonia within the renormalization group procedure for effective particles