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Nota de FísicaPublicado

Higgs Mechanism in Light-Front Quantized Field Theory

P. P. Srivastava

1992

Dados da publicação

Autores
P. P. Srivastava
Tipo
Nota de Física
Status
Publicado
Data de publicação
1992
Descrição
The spontaneous symmetry breaking of continuous symmetry in light-front quantized scalar field theory is studied following the ''standard'' Dirac procedure for constrained dynamical systems. A non-local constraint is found to follow. The values of the constant background fields (zero modes) at the tree level, as a consequence, are shown to be given by minimizing the light-front energy. The zero modes are shown to commute with the non-zero ones and the isovector built from them is seen to characterize a (non-perturbative) vacuum state and the corresponding physical sector. The infinite degeneracy of the vacuum is described by the continuum of the allowed orientations of this background isovector in the isospin space. The symmetry generators in the quantized field theory annihilate the vacuum in contrast to the case of equal-time quantization. Not all of them are conserved and the conserved ones determine the surviving symmetry of the quantum theory Lagrangian. The criterian for determining the background isovector and the counting of the number of Goldstone bosons goes as in the equal-time case. A demonstration in favour of the absence of Goldstone bosons in two dimensions is also found. Finally, we extend the discussion to an understanding of the Higgs mechanism in light-front frame.
Ano
1992
Número
CBPF-NF-010/92
Vínculo com tese
Não
Vínculo com bolsa
Não
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