Note on the Fried-Yennie gauge

ANNALS OF PHYSICS128, 241-242 (1980)

Abstracts

of Papers

to Appear

in Future

Issues

of Quantization in the Infinite Momentum Frame. PAUL JOSEPHSTEINHARDT. Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138.

Problems

Various problems of quantization in the infinite momentum frame are discussed. Naive application of the Dirac procedure is shown to yield inconsistent results. A rigorous method of proceeding from an action to a Hamiltonian with consistent equal-time commutators is proposed. The method is applied to a free, massive scalar field theory, the non-linear D model in (1 + 1) dimensions and quantum electrodynamics in (3 + 1) dimensions. The

Construction

from

Initial

Data

JAMES A. ISENBERG. Department Ontario N2L 3G1, Canada.

of Spacetimes

of Applied

with

Nontrivial

Mathematics,

Spatial

and Bundle

Topology.

University of Waterloo, Waterloo,

We show how to use the 3 + 1 construction program to build globally hyperbolic spacetimes with topologically nontrivial Cauchy surfaces. Spacetimes in which the classical fields are sections of a nontrivial bundle are handled as well. In evolving the initial data in these spacetimes, one must work with an atlas of overlapping patches. Data must be transfered from patch to patch during the evolution, as the transition functions on patch intersections must be evolved as well. We describe how to do this. Often the evolution of the Cauchy is considerably simplified by choosing the coordinateshift field M and the gauge-shift field A, to be patch-dependent. We give examples of this phenomenon and show how to incorporate the patch-dependence of M and A, into a consistent evolution program for the spacetime. Note

on the Fried-Yennie

Michigan,

Ann Arbor,

Gauge.

YUKIO

Michigan

Randall Laboratory

TOMOZAWA.

of Physics, University of

48109.

It is pointed out that the renormalization constants and the finite parts of the self energy and the vertex corrections in the infrared free Fried-Yennie gauge are different, by finite amounts, from those which are computed as the limit of the general covariant gauge. This discrepancy occurs because of the appearance of an infrared divergence in the on-mass-shell renormalization. This note provides an example where extra caution is needed in handling the limiting procedure, where an infrared divergence is involved. Quantiration

of the Radiation

Damped

Harmonic

Oscillator.

fiir Theoretische Physik der Universitgt, Tiibingen, West Germany.

BERTHOLD-GEORG

Auf der Morgenstelle

ENGLERT.

14, Tiibingen

Institut D-7400,

The Abraham-Lorentz equation for the harmonic oscillator is reconsidered. Quantization of the system is performed by applying Ostrogradsky’s formalism of generalized momenta to a Lagrangian which contains higher than first derivatives in time. The final six-dimensional phase-space does not allow the interpretation as phase-space of a three-boson system but only as one of one boson, its antiboson and a “ghost”. Violation in Electron-Deuteron Scattering. 1. Methodology and Elastic Scattering. W-Y. P. HWANG AND E. M. HENLEY. Institute for Nuclear Theory, Department of Physics, FM-15, University of Washington, Seattle, Washington 98195.

Parity

In this paper, we present methodology for investigating theoretically parity violation in both the

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