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Field theory

The Theory Pole is active in two different topics, field theory on the light front and finite field theories based for instance on the recently proposed Taylor-Lagrange renormalization scheme.

Light front quantization can be used to solve relativistic QFTs, and study composite systems using Hamiltonian formalism. In this formalism, the evolution of the system is parametrised in terms of the light-front time \tau= t + z/c.

The state vector describing any bound state system is thus decomposed in Fock components, and physical observables can be calculated in a non-perturbative way order-by-order in the truncation of the Fock expansion. These components correspond to states with a well-defined number of particles at a given light-front time. In this form of dynamics, the N-body Fock components are boost-invariant, contrary to the standard formulation at constant ordinary time.<