Light front quantization: Difference between revisions

Revision as of 21:02, 10 June 2022

Revision as of 15:53, 2 July 2022

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Computing hadronic matrix elements of currents is particularly simple

on the light-front, since they can be obtained rigorously as overlaps

of light-front wave functions as in the Drell-Yan-WestDrell–Yan–West

formula.<ref name="Drell:1969km">{{ cite journal |author1=S. D. Drell |author2=T. -M. Yan |

title= Connection of Elastic Electromagnetic Nucleon Form-Factors at Large <math>Q^2</math> and Deep Inelastic Structure Functions Near Threshold |

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of light-front time-ordered [[Perturbation theory (quantum mechanics)|perturbation theory]],

together with <math>J^z</math> conservation, can be used

to elegantly derive the Parke-TaylorParke–Taylor rules for multi-[[gluon]] scattering

amplitudes.<ref name="Cruz-Santiago:2013vta">{{ cite journal |author1=C. A. Cruz-Santiago |author2=A. M. Stasto |

title= Recursion relations and scattering amplitudes in the light-front formalism |

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doi= 10.1016/0550-3213(95)00009-H|arxiv = hep-ph/9401328 |bibcode = 1995NuPhB.441..197B |s2cid=118969788 }}</ref>

behavior of structure functions

at large <math>x</math> and Bloom-GilmanBloom–Gilman

duality<ref name="BloomGilman1">{{ cite journal |author1=E. Bloom |author2=F. Gilman |

title= Scaling, Duality, and the Behavior of Resonances in Inelastic electron-Proton Scattering |

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interactions. It is called a helicity because the spin quantization

axis is determined by the orientation of the light front. It differs

from the Jacob-WickJacob–Wick helicity, where the quantization axis is

determined by the direction of the momentum.

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lines.

* Construct symmetry-preserving regularization and renormalization schemes for light-front QCD, to include the Pauli-VillarsPauli–Villars-based method of the St. Petersburg group,<ref name="StPete1">{{ cite journal |author1=S.A. Paston |author2=V.A. Franke |

title=Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates |

journal=[[Theoretical and Mathematical Physics]] | volume= 112 |issue=3 | pages= 1117–1130 | year=1997 |

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matrix elements that involve boosts, such as the

ones needed to calculate form factors. The

relation to covariant Bethe-SalpeterBethe–Salpeter approaches

projected on the light-front may help in

understanding the angular momentum issue and its