We examine the current state-of-the-art in nonperturbative calculations done with
Hamiltonians constructed in light-front quantization of various field theories. The language of …

At one loop, quantum kinks are described by a free theory. The nonlinearity and so the
interesting phenomenology arrives at two loops, where, for example, internal excitations …

A bstract We study 1+ 1 dimensional ϕ 4 theory using the recently proposed method of
conformal truncation. Starting in the UV CFT of free field theory, we construct a complete …

We study the lowest-mass eigenstates of ϕ 1+ 1 4 theory with both odd and even numbers of
constituents. The calculation is carried out as a diagonalization of the light-front Hamiltonian …

The two-loop correction to the mass of the ϕ 4 kink is 0.0126 λ/m in terms of the coupling λ
and the meson mass m evaluated at the minimum of the potential. This is calculated using a …

The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with
respect to the skewness parameter ζ= Q 2/2 p· q can be used to provide an image of the …

We show that the Fourier transform of the deeply virtual Compton scattering (DVCS)
amplitude with respect to the skewness variable ζ at fixed invariant momentum transfer …

We solve for the critical coupling in the symmetric phase of two-dimensional ϕ 4 field theory
using discretized light-cone quantization. We adopt periodic boundary conditions, neglect …

As a first numerical application of the light-front coupled-cluster (LFCC) method, we consider
the odd-parity massive eigenstate of ϕ 1+ 1 4 theory. The eigenstate is built as a Fock-state …

We survey recent progress in calculating properties of the electron and hadrons within the
basis light front quantization (BLFQ) approach. We include applications to electromagnetic …