Showing papers by "Roman Jackiw published in 1972"

Effect of anomalies on quasi-renormalizable theories.

Abstract: Apparently nonrenormalizable field theories, such as the new models for weak interactions, can become renormalizable when gauge invariance of the second kind is present. However, the anomaly associated with the axial-vector current may destroy this gauge invariance in perturbation theory, even though it is present in the Lagrangian. When this happens the theory remains nonrenormalizable. Nevertheless it is possible, by enlarging the theory, to remove the anomaly at the expense of introducing additional fermion fields, which correspond to as-yet-unobserved particles.

Lectures on Current Algebra and Its Applications

Abstract: A timely addition to the literature, this volume contains authoritative reviews of three important areas in the physics of elementary particles. Sam B. Treiman, in "Current Algebra and PCAC," reviews the present state of the weak interactions. In "Field Theoretic Investigations in Current Algebra," Roman Jackiw deals with recent developments in current algebra and its applications, giving particular attention to anomalies. David J. Gross covers the high energy inelastic lepton-hadron scattering in his paper, "The High Energy Behavior of Weak and Electromagnetic Interactions." Originally published in 1972. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Weak-Interaction Corrections to the Muon Magnetic Moment and to Muonic-Atom Energy Levels

Abstract: The weak contributions to the anomalous magnetic moment of the muon are calculated in a proposed theory of the weak and electromagnetic interactions. The result is finite and of order $\ensuremath{\Delta}{g}_{\ensuremath{\mu}}\ensuremath{\approx}{10}^{\ensuremath{-}8}$, too small to be measured at present. The present agreement between theoretical and experimental values of the muon magnetic moment does not even rule out the possibility that the scalar meson required by this theory has a very small mass. If this mass were sufficiently small, then the scalar-meson field would produce shifts of the order of a hundred parts per million in muonic-atom energy levels.

Constraints on anomalies.

Abstract: The various coupling-constant-dependent numbers describing anomalous commutators are constrained by the nonrenormalization of the axial-vector-current anomaly. The axial-vector current continues to behave anomalously even if the underlying unrenormalized field theory is finite due to the vanishing of the Gell-Mann-Low eigenvalue function.

Bilocal Operators and Partons

Abstract: We use the technique of light-cone commutators to illuminate the physical picture of deep-inelastic scattering given by the parton model. We find that final-state interactions can be consistent with scaling, and occur in the deep-inelastic domain when vector gluons are present. We show how a nonvanishing longitudinal scaling function can emerge in a fermion parton model. Finally we study the anomalies which beset light-cone commutators in perturbation theory.