S
Q
E
D
4 and Q
E
D
4 on the Null-Plane |
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Authors: | R Casana B M Pimentel G E R Zambrano |
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Institution: | 1. Departamento de Física, Universidade Federal do Maranh?o (UFMA) Campus Universitário do Bacanga, CEP 65085-580, S?o Luís, MA, Brazil 2. Instituto de Física Teórica (IFT/UNESP), UNESP - S?o Paulo State University, Rua Pamplona 145, CEP 01405-900, S?o Paulo, SP, Brazil 3. Departamento de Física, Universidad de Nari?o Ciudad Universitaria Torobajo, Clle 18 Cr 50, San Juan de Pasto, Nari?o, Colombia
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Abstract: | We study the scalar electrodynamics (S Q E D 4) and the spinor electrodynamics (Q E D 4) in the null-plane formalism. We follow Dirac’s technique for constrained systems to analyze the constraint structure in both theories in detail. We impose the appropriate boundary conditions on the fields to fix the hidden subset first class constraints that generate improper gauge transformations and obtain a unique inverse of the second-class constraint matrix. Finally, choosing the null-plane gauge condition, we determine the generalized Dirac brackets of the independent dynamical variables, which via the correspondence principle give the (anti)-commutators for posterior quantization. |
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