Abstract
Quantum field theory formulated in terms of light front (LF) variables has a few attractive as well as some puzzling features. The latter hindered a wider acceptance of LF methods. In two space–time dimensions, it has been a long-standing puzzle how to correctly quantize massless fields, in particular fermions. Here we show that two-dimensional massless LF fields (scalar and fermion) can be recovered in a simple way as limits of the corresponding massive fields and thereby quantized without any loss of physical information. Bosonization of the fermion field then follows in a straightforward manner and the solvable models can be studied directly in the LF theory. We sketch the LF operator solution of the Thirring-Wess model and also point out the closeness of the massless LF fields to those of conformal field theory.
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Martinovic̆, L., Grangé, P. Two-Dimensional Massless Light Front Fields and Solvable Models. Few-Body Syst 57, 565–571 (2016). https://doi.org/10.1007/s00601-016-1109-x
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DOI: https://doi.org/10.1007/s00601-016-1109-x