9 research outputs found
Essence of the vacuum quark condensate
We show that the chiral-limit vacuum quark condensate is qualitatively
equivalent to the pseudoscalar meson leptonic decay constant in the sense that
they are both obtained as the chiral-limit value of well-defined
gauge-invariant hadron-to-vacuum transition amplitudes that possess a spectral
representation in terms of the current-quark mass. Thus, whereas it might
sometimes be convenient to imagine otherwise, neither is essentially a constant
mass-scale that fills all spacetime. This means, in particular, that the quark
condensate can be understood as a property of hadrons themselves, which is
expressed, for example, in their Bethe-Salpeter or light-front wavefunctions.Comment: 5 pages, 1 figur
Perturbative S-matrix in discretized light cone quantization of two-dimensional \phi^4 theory
We study the S-matrix of two-dimensional \lambda\phi^4 theory in Discretized
Light Cone Quantization and show how the correct continuum limit is reached for
various processes in lowest order perturbation theory.Comment: title changed, clarifying statements adde
Compactification near and on the light front
We address problems associated with compactification near and on the light
front. In perturbative scalar field theory we illustrate and clarify the
relationships among three approaches: (1) quantization on a space-like surface
close to a light front; (2) infinite momentum frame calculations; and (3)
quantization on the light front. Our examples emphasize the difference between
zero modes in space-like quantization and those in light front quantization. In
particular, in perturbative calculations of scalar field theory using
discretized light cone quantization there are well-known ``zero-mode induced''
interaction terms. However, we show that they decouple in the continuum limit
and covariant answers are reproduced. Thus compactification of a light-like
surface is feasible and defines a consistent field theory.Comment: 24 pages, 4 figure