Two-dimensional massless light-front fields and conformal field theory

L’ubomí Martinovič ()
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L’ubomí Martinovič: Slovak Academy of Sciences, BLTP JINR Dubna and Institute of Physics

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 253-261 from Springer

Abstract: Abstract A consistent quantization of two-dimensional (2D) massless light-front fields (scalar and fermion) is formulated. Their two-point functions exactly reproduce the massless limit of the two-point functions of the corresponding massive fields. The novel formalism incorporates bosonization in a natural way and also provides us with elements needed for an independent light-front (LF) study of the exactly solvable models (the Thirring or Thirring-Wess model, e.g.). Moreover, it displays closeness of the 2D massless LF quantum fields to conformal field theory (CFT). We calculate a few correlators including those between the components of the LF energy-momentum tensor and derive the Virasoro algebra in the LF operator form. Going over to the euclidean time, we can direcly transform all calculated quantities to the (anti)holomorphic form, in agreement with those from CFT.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_38

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DOI: 10.1007/978-3-319-69164-0_38

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