Speaker
Description
The complexity of strong dynamics has triggered many different techniques used depending on the phenomena to be described. Often, they rely on quantization over the plane of constant time in Minkowski space, but there are other possibilities: when quantization is carried out over a light front, the theory is manifestly invariant under the boost transformation along the direction of the light-front and the structure of the groundstate simplifies, since the vacuum decouples. These simplifications make it easier to consider Hamiltonianeigenvalue problems and give rise to the front-form of Hamiltonian dynamics, which can be used to study QCD bound-state problems [1].
However, the Hamiltonians obtained after a canonical quantization procedure are very badly divergent and regularization parameters and counterterms are needed. The renormalization group procedure for effective particles, RGPEP [2, 3, 4], was developed by Głazek and Wilson to obtain finite, physical predictions using effective particles of size s with interactions that are suppressed if the energy scale of the process is greater than a chosen λ = 1 s.
The RGPEP has been successfully applied to derive asymptotic freedom from the coefficients of the three gluon-vertex functions in purely gluonic QCD [3, 5] using ultraviolet and small-x cutoffs, albeit with an undesired finite dependence on the running coupling constant. To avoid this dependence new regularization schemes need to be explored and this poster describes one of such schemes, deriving asymptotic freedom with a canonical gluon mass term as regulator and using the same regularization functions to avoid both ultraviolet and small-x divergences.
- Light-front quantum chromodynamics 251-252.
- Głazek, S. D. Similarity Renormalization Group Approach to Boost Invariant Hamiltonian Dynamics. Acta Phys. Pol. B 29 (1997). ArXiv: hep-th/9712188.
- Głazek, S. D. Running Couplings in Hamiltonians. Acta Phys. Pol. B 31 (2000). ArXiv: hep-th/0001042.
- Głazek, S. D. & Wilson, K. G. Asymptotic freedom and bound states in Hamiltonian dynamics. Phys. Rev. D 57, 3558–3566 (1998).
- Gómez-Rocha, M. & Głazek, S. D. Asymptotic freedom in the front-form Hamiltonian for quantum chromodynamics of gluons. Phys. Rev. D 92, 065005 (2015).
