Basis light-front quantization: a new approach to non-perturbative scattering and time-dependent production processes
2013 (English)In: Acta Physica Polonica B, Proceedings Supplement, ISSN 1899-2358, Vol. 6, no 1, 257-262 p.Article in journal (Refereed) Published
Hamiltonian light-front quantum field theory constitutes a framework for deriving invariant masses, correlated parton amplitudes of self-bound systems and time-dependent scattering amplitudes. By choosing the lightfront gauge and adopting an orthonormal basis function representation, we obtain a large, sparse, Hamiltonian matrix for mass eigenstates that is solvable by adapting ab initio no-core methods of nuclear many-body theory. In the continuum limit, the infinite matrix limit, we recover full covariance. There is considerable freedom in the choice of the orthonormal and complete set of basis functions with key considerations being convenience and convergence properties. We adopt a two-dimensional harmonic oscillator basis for transverse modes that corresponds with eigensolutions of the soft-wall anti-de Sitter/quantum chromodynamics (AdS/QCD) model obtained from light-front holography. We outline our approach and present preliminary results for non-linear Compton scattering, evaluated non-perturbatively, where a strong (possibly time-dependent) laser field excites an electron that emits a photon.
Place, publisher, year, edition, pages
2013. Vol. 6, no 1, 257-262 p.
IdentifiersURN: urn:nbn:se:umu:diva-83233DOI: 10.5506/APhysPolBSupp.6.257OAI: oai:DiVA.org:umu-83233DiVA: diva2:666245