Loop Splitting Research Articles

Schwinger-Dyson Equation for Supersymmetric Yang-Mills Theory: Manifestly Supersymmetric Form

We study our Schwinger-Dyson equation as well as the large $N_{c}$ loop equation for supersymmetric Yang-Mills theory in four dimensions by the N=1 superspace Wilson-loop variable. We are successful in deriving a new manifestly supersymmetric form in which a loop splitting and joining are represented by a manifestly supersymmetric as well as supergauge invariant operation in superspace. This is found to be a natural extension from the abelian case. We solve the equation to leading order in perturbation theory or equivalently in the linearized approximation, obtaining a desirable nontrivial answer. The super Wilson-loop variable can be represented as the system of one-dimensional fermion along the loop coupled minimally to the original theory. One-loop renormalization of the one-point Wilson-loop average is explicitly carried out, exploiting this property. The picture of string dynamics obtained is briefly discussed.

Collinear limits of one-loop helicity amplitudes in QCD

We point out that for QCD subprocesses involving multiple quark pairs, it is useful to investigate the collinear limits of full helicity amplitudes. We study the recently calculated one-loop\(0 \to \bar q\bar QQqg\) helicity amplitudes and confirm the results found by Bern, Dixon, Dunbar and Kosower for the loop splitting amplitudes.

Capillary condensation in non-uniform pores

This paper reports on studies of adsorption in energetically and geometrically non-uniform slit-like pores. The calculations have been carried out by the density functional approach. We have studied the influence of both types of non-uniformity on the capillary condensation. We have found that the pore non-uniformity may qualitatively change the phase diagram of confined fluids. In particular, geometrical non-uniformity may lead to a splitting of the hysteresis loop into two separate parts, associated with the filling of different parts of the pore.

Chern-Simons induced spin factors in noncovariant gauges.

We study Chern-Simons induced spin factors in noncovariant metric-independent gauges, such as the axial gauge and the Coulomb gauge. These spin factors are defined without loop splitting. We find that they are equal to integers and have particular geometrical meanings. In the axial gauge, this integer is the writhe number of a link diagram defined by the projection of a loop to the time direction. In the Coulomb gauge, it is suggested that this integer is also the writhe number of a link diagram, defined by the projection of a loop to a spatial plane.

Participation of S-S loops in inhibitory activity of peanut protease inhibitor B-III.

A peanut Bowman-Birk (BBI) type protease inhibitors B-III has two regions, 1 and 2, homologous with each other. Each region contains three S-S loops and a reactive site in its outermost loop. The inhibitor was used to investigate the contribution of the S-S loops of BBI-type inhibitors to their inhibitory activity. Two steps of Edman degradation of the native inhibitor cleaved loop III (the innermost S-S loop) of region 1 of B-III, and the antichymotryptic activity of the first reactive site decreased to about 1/4 of that of native B-III. A third step of Edman degradation split loop II and the inhibitory activity at that site became extremely low (about 1/200 of the original value). These results suggest that protease inhibitor B-III maintains its active conformation by means of the three S-S loops and that the conformation is markedly changed by the splitting of loop II.