Few-Body Systems

, Volume 57, Issue 7, pp 565–571 | Cite as

Two-Dimensional Massless Light Front Fields and Solvable Models

  • L’ubomír Martinovic̆Email author
  • Pierre Grangé
Part of the following topical collections:
  1. Light Cone 2015


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.


Solvable Model Conformal Field Theory Massive Solution Massless Limit Light Front 
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© Springer-Verlag Wien 2016

Authors and Affiliations

  1. 1.Institute of PhysicsSlovak Academy of SciencesBratislavaSlovakia
  2. 2.Bogoliubov Laboratory of Theoretical PhysicsDubnaRussia
  3. 3.LUPMUniversité Montpellier IIMontpellier Cedex 05France

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