Light-front Quantized Field Theory: Some New Results

Abstract

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) is more transparent compared to the conventional equal-time one. The discussion may be of relevance in the context of the quantization of gravitation theory. The LF quantization is argued to be equally appropriate as the conventional equal-time one. The description on the LF of the spontaneous symmetry breaking and the (tree level) Higgs mechanism, the emergence of the $θ$-vacua in the Schwinger model, the absence of such vacua in the Chiral SM, the BRS-BFT quantization of the latter on the LF are among the topics discussed. Comments on the irrelevance, in the quantized theory, of the fact that the hyperplanes $x^{\pm}=0$ constitute characteristic surfaces of the hyperbolic partial differential equation are also made. The LF theory quantized on, say, the $x^{+}=const.$ hyperplanes seems to already contain in it the information on the equal-$x^{-}$ commutators as well. A theoretical reaffirmation of 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.