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Scattering amplitudes for quanta off a soliton
480
ABSTRACTS
Scattering Amplitudes for Quanra Pasadena, California 91125.
OF PAPERS Off
a Soliion.
TO APPEAR
IN FUTURE
JAMES HUGHES.
California
ISSUES Institute
of Technology,
I demonstrate how soliton recoil is accounted for by the various quantization schemes. To do this I first identify the S-matrix and then calculate some amplitudes for scattering of quanta off a soliton state in the especially simple case of a generic nonlinear 1 + 1 dimensional theory of a single scalar field. All that is assumed is that the theory has classical solitary wave solutions, and that these solutions correspond to states in the full quantum theory. Next I describe how these calculations generalize to the case when the soliton has internal quantum numbers and propagates in higher dimensions. Finally, I comment on the lessons of this work as they relate to string theory spacetime solitons-in particular, to the role of zero mode vertex operators in perturbatively accounting for soliton recoil.
The
Vacuum Interaction of Magnetic Strings. MICHAEL BORDAG. Sektion Physik Universitat, Karl-Marx-Platz 10, 7010 Leipzig, German Democratic Republic.
der
Karl-Marx-
We investigate the interaction of two parallel magnetic strings which is due to the perturbation of the vacuum state of a scalar massive field. The Green function with one string is studied in detail and the influence of the second string is found in perturbation theory. The Casimir force is expressed in terms of Bessel functions.
ABSTRACTS
Scattering Amplitudes for Quanra Pasadena, California 91125.
OF PAPERS Off
a Soliion.
TO APPEAR
IN FUTURE
JAMES HUGHES.
California
ISSUES Institute
of Technology,
I demonstrate how soliton recoil is accounted for by the various quantization schemes. To do this I first identify the S-matrix and then calculate some amplitudes for scattering of quanta off a soliton state in the especially simple case of a generic nonlinear 1 + 1 dimensional theory of a single scalar field. All that is assumed is that the theory has classical solitary wave solutions, and that these solutions correspond to states in the full quantum theory. Next I describe how these calculations generalize to the case when the soliton has internal quantum numbers and propagates in higher dimensions. Finally, I comment on the lessons of this work as they relate to string theory spacetime solitons-in particular, to the role of zero mode vertex operators in perturbatively accounting for soliton recoil.
The
Vacuum Interaction of Magnetic Strings. MICHAEL BORDAG. Sektion Physik Universitat, Karl-Marx-Platz 10, 7010 Leipzig, German Democratic Republic.
der
Karl-Marx-
We investigate the interaction of two parallel magnetic strings which is due to the perturbation of the vacuum state of a scalar massive field. The Green function with one string is studied in detail and the influence of the second string is found in perturbation theory. The Casimir force is expressed in terms of Bessel functions.