Light-Front Quantization of Field Theory

Details Light-Front Quantization of Field Theory Light-Front Quantization of Field Theory

1996-10-07

arxiv.org/abs/hep-th/9610044v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, Tex, published in ``Lightfront quantization of field theory'' in ``Topics in Theoretical Physics'', ``Festschrift fo

Scientific paper

Some basic topics in Light-Front (LF) quantized field theory are reviewed. Poincar\`e algebra and the LF Spin operator are discussed. The local scalar field theory of the conventional framework is shown to correspond to a non-local Hamiltonian theory on the LF in view of the constraint equations on the phase space, which relate the bosonic condensates to the non-zero modes. This new ingredient is useful to describe the spontaneous symmetry breaking on the LF. The instability of the symmetric phase in two dimensional scalar theory when the coupling constant grows is shown in the LF theory renormalized to one loop order. Chern-Simons gauge theory, regarded to describe excitations with fractional statistics, is quantized in the light-cone gauge and a simple LF Hamiltonian obtained which may allow us to construct renormalized theory of anyons.

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