Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-09
1993 Particles and Fields, Soc. Bras. Fis., Brazil
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, Plain Tex, Lectures at XIV Encontro Nacional de Particulas e Campos, Caxambu, MG, Brazil
Scientific paper
The field theory quantized on the {\it light-front} is compared with the conventional equal-time quantized theory. The arguments based on the {\it microcausality} principle imply that the light-front field theory may become nonlocal with respect to the longitudinal coordinate even though the corresponding equal-time formulation is local. This is found to be the case for the scalar theory which is quantized by following the Dirac procedure. In spite of the different mechanisms of the spontaneous symmetry breaking in the two forms of dynamics they result in the same physical content. The phase transition in {$(\phi^{4})_{2}$} theory is also discussed. The symmetric vacuum state for vanishingly small couplings is found to turn into an unstable symmetric one when the coupling is increased and may result in a phase transition of the {\it second order} in contrast to the first order transition concluded from the usual variational methods.
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