THE SCHWINGER MODEL ON THE NULL-PLANE

Author:

CASANA R.1,PIMENTEL B. M.2,ZAMBRANO G. E. R.2

Affiliation:

1. Departamento de Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, CEP 65085-580, São Luís, MA, Brazil

2. Instituto de Física Teórica (IFT/UNESP), UNESP - São Paulo State University, Rua Pamplona 145, CEP 01405-900, São Paulo, SP, Brazil

Abstract

We study the Schwinger Model on the null-plane using the Dirac method for constrained systems. The fermion field is analyzed using the natural null-plane projections coming from the γ-algebra and it is shown that the fermionic sector of the Schwinger Model has only second class constraints. However, the first class constraints are exclusively of the bosonic sector. Finally, we establish the graded Lie algebra between the dynamical variables, via generalized Dirac bracket in the null-plane gauge, which is consistent with every constraint of the theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

Reference9 articles.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. S Q E D 4 and Q E D 4 on the Null-Plane;Brazilian Journal of Physics;2014-06-25

2. Functional Analysis for Gauge Fields on the Front-Form and the Light-Cone Gauge;Few-Body Systems;2011-10-14

3. The canonical structure of Podolsky's generalized electrodynamics on the null-plane;Journal of Mathematical Physics;2011-10

4. Hamilton–Jacobi formalism for linearized gravity;Classical and Quantum Gravity;2011-08-16

5. Hamiltonian Formulation of the Yang–Mills field on the null–plane;Nuclear Physics B - Proceedings Supplements;2010-02

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