Light front quantization: Difference between revisions

Revision as of 22:30, 23 December 2023

Revision as of 22:31, 23 December 2023

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=== Light-front Commutation Relations ===

[[Canonical commutation relations]] at equal time are the centerpiece of the [[Canonicalcanonical Quantizationquantization]] method to quantized fields. In the standard quantization method (the "Instant Form" in Dirac's classification of relativistic dynamics<ref name="Dirac" />), the relations are, for example here for a spin-0 field <math> \phi </math> and its [[Conjugate_variables#Quantum_theory|canonical conjugate]] <math> \pi </math>:

<math display="block">{\rm Instant~Form:}~~[\phi(t, \vec x),\phi(t, \vec y)] = 0, \ \ [\pi(t, \vec x), \pi(t, \vec y)] = 0, \ \ [\phi(t, \vec x),\pi(t, \vec y)] = i\hbar \delta^3( \vec x- \vec y),</math>