18 research outputs found
A purely algebraic construction of a gauge and renormalization group invariant scalar glueball operator
This paper presents a complete algebraic proof of the renormalizability of
the gauge invariant operator to all orders of
perturbation theory in pure Yang-Mills gauge theory, whereby working in the
Landau gauge. This renormalization is far from being trivial as mixing occurs
with other gauge variant operators, which we identify explicitly. We
determine the mixing matrix to all orders in perturbation theory by using
only algebraic arguments and consequently we can uncover a renormalization
group invariant by using the anomalous dimension matrix derived from
. We also present a future plan for calculating the mass of the lightest
scalar glueball with the help of the framework we have set up.Comment: 17 page
Consistent treatment of spin-1 mesons in the light-front formalism
We analyze the matrix element of the electroweak current between q \qb
vector meson states in the framework of a covariant extension of the
light-front formalism. The light-front matrix element of a one-body current is
naturally associated with zero modes, which affect some of the form factors
that are necessary to represent the Lorentz structure of the light-front
integral. The angular condition contains some information on zero modes, i.e.,
only if the effect of zero modes is accounted for correctly, is it satisfied.
With plausible assumptions we derive from the angular condition several
consistency conditions which can be used quite generally to determine the zero
mode contribution of form factors. The correctness of this method is tested by
the phenomenological success of the derived form factors. We compare the
predictions of our formalism with those of the standard light-front approach
and with available data. As examples we discuss the magnetic moment of the
, the coupling constant , and the coupling constants of
the pseudoscalar density, and , which provide a phenomenological
link between constituent and current quark masses.Comment: 36 pages, figure 1 is include