Much ado about nothing: vacuum and renormalization on the light-front

Details Much ado about nothing: vacuum and renormalization on the light-front Much ado about nothing: vacuum and renormalization on the light-front

1997-09-22

arxiv.org/abs/hep-ph/9709421v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, lecture notes based on three lectures given at the NUclear Summer School NUSS 97, at Seoul National University, Seou

Scientific paper

In the first part of my lectures, I will use the example of deep-inelastic scattering to explain why light-front coordinates play a distinguished role in many high energy scattering experiments. After a brief introduction into the concept of light-front quantization, I will show that the vacuum for any light-front Hamiltonian is trivial, i.e. the same as for non-interacting fields. In the rest of my lectures, I will discuss several toy models in 1+1 and 3+1 dimensions and discuss how effective light-front Hamiltonians resolve the apparent paradox that results from having a trivial light-front vacuum.

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