Speaker
Description
Small-x divergences of a canonical Hamiltonian of Abelian gauge theory in the front form of quantum dynamics, are regulated using a mass parameter for gauge bosons, introduced through a mechanism analogous to the spontaneous breaking of global gauge symmetry [1]. The regularization includes addition of the third polarization state for massive vector bosons. A corresponding family of ultraviolet and infrared finite, scale-dependent renormalized Hamiltonians, is calculable order-by-order using the renormalization group procedure for effective particles (RGPEP). The RGPEP will be illustrated on two examples of second-order: the electron mass squared counter-term in QED and the resulting electron mass squared Hamiltonian term in a finite effective theory. Review of the orders of magnitude that characterize the scale-dependent dynamical mass effects order alpha in QED, given the current experimental upper limit on the photon mass, indicates the range of variables that need to be considered in resolving the front-form vacuum and zero-mode issues, related to results based on the dimensional regularization.
[1] S. D. Glazek, Acta Physica Polonica B 50, 5-26 (2019).
