Non-perturbative renormalization in Light Front Dynamics with Fock space truncation

Abstract

Within the framework of the Covariant formulation of Light-Front Dynamics, we develop a general non-perturbative renormalization scheme based on the Fock decomposition of the state vector and its truncation. The explicit dependence of our formalism on the orientation of the light front is essential in order to analyze the structure of the counterterms and bare parameters needed to renormalize the theory. We present here a general strategy to determine the dependence of these quantities on the Fock sectors. We apply our formalism to QED for the two-body (one fermion and one boson) truncation and recover analytically, without any perturbative expansion, the renormalization of the electric charge according to the requirements of the Ward Identity.

7 pages, 6 figures, to appear in the proceedings of the Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, Cairns, Australia, July 7-15, 2005

References in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Nonperturbative renormalization in a scalar model within Light-Front Dynamics
• Renormalized nonperturbative fermion model in Covariant Light Front Dynamics
• Renormalized non-perturbative scalar and fermions models in Covariant Light Front Dynamics
• The charge and mass perturbative renormalization in explicitly covariant LFD

Cited by in corpus (2)

• Regularization of fermion self-energy and electromagnetic vertex in Yukawa model within light-front dynamics
• Restoration of the chiral limit in Pauli-Villars-regulated light-front QED