| We introduce light-front quantization,basis light-front quantization（BLFQ）and time-dependent BLFQ（t BLFQ）.Compared with instant quantization,the formalism of light-front quantization has advantages of simple vacuum structure and frame-independent light-front wavefunction,and is therefore appropriate for the description of particle structure.The main idea of BLFQ is to numerically solve the light-front Hamiltonian in a discretized and truncated Hilbert space,rather than expanding in orders of the coupling constant,and therefore BLFQ is a nonperturbative method.It has been used to calculate the structures of,e.g,the electron,proton and mesons.The anomalous magnetic moment of the electron from BLFQ agrees well with experiments and perturbation theory,and the obtained proton form factors are comparable with experiments and other nonperturbative methods（such as lattice gauge theory）.t BLFQ is an extension of BLFQ into the time-dependent regime.It can be applied to investigate the time evolution of particles in strong background fields.In this article,we investigate the process of nonlinear Compton scattering of an electron in strong laser fields using t BLFQ,and study the process of acceleration and photon emission of the electron in terms of observables such as the probability density and transverse momentum distributions（TMDs）.We compare the results of t BLFQ with those from perturbation theory in the limit of a weak background field and find that TMDs in both approaches agree well.We also apply t BLFQ to the process of electron-positron pair production in strong background electric fields.We model the laser field using an inhomogeneous electric field,and study the processes of vacuum pair production as well as particle acceleration in the presence of strong background fields in terms of probability densities and momentum distributions.We find a critical intensity of the background electric field above which the average pair-production rate increases dramatically,which is reminiscent of Schwinger’s result. |
