Nota de FísicaPublicado
Light-Front Quantized Field Theory: Some New Results
P. P. Srivastava
1999
Dados da publicação
- Autores
- P. P. Srivastava
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1999
- Descrição
- A review is made on some recent studies which support the point of view that the relativistic field theory quantized on the light-front (LF), as proposed by Dirac, seems to be more transparent compared to the conventional equal-time quantized one. Some ideas following from these studies may be of some relevance in the context of the quantization of gravitation theory. It is argued on general grounds that the LF quantization is ''equally appropriate'' as the conventional equal-time one and that the two should lead, assuming the microcausality principle, to the same physical content. This is shown to be true by considering several model field theories. The description on the LF of the spontaneous symmetry breaking (SSB), (tree level) Higgs mechanism, of the ''condensate'' or <math>\theta\,\!</math> -vacua in the Schwinger model (SM), of the absence of such vacua in the Chiral SM (CSM), and of the BRS-BFT quantization of the ''front'' ''form'' CSM are among the topics discussed. The LF phase space is strongly constrained and is different from the one in the conventional theory. The removal of the constraints by following the Dirac procedure results in a substantially reduced number of independent operators. The discussion of the physical Hilbert space and the vacuum becomes more tractable. Some comments on the irrelevance, in the quantized field theory, of the fact that the hyperplanes <math>x^{\pm}=0\,\!</math> constitute characteristic surfaces of the hyperbolic partial differential equation are also made. The LF theory quantized on, say, the <math> x^{+}=const\,\! </math>. hyperplanes seems to contain in it the information on the <math>equal-x^-\,\!</math> commutators as well. A theoretical reaffirmation of the universally accepted notion that the experimental data is to be confronted with the predictions of a classical theory model only after it has been upgraded through its quantization seems to emerge. The LF quantization promises to be a powerful tool, complementary to the functional integral method, for handling the nonperturbative calculations.
- Ano
- 1999
- Número
- CBPF-NF-003/99
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não