Gravitational scattering in the c = 1 matrix model

Natsuume, Makoto; Polchinski, Joseph

doi:10.1016/0550-3213(94)90092-2

Gravitational scattering in the c = 1 matrix model

Mar 1, 1994

22 pages

Published in:

Nucl.Phys.B 424 (1994) 137-154

e-Print:

hep-th/9402156 [hep-th]

DOI:

10.1016/0550-3213(94)90092-2

Report number:

NSF-ITP-94-19

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Abstract:

The

c=1

matrix model is equivalent to

1+1

dimensional string theory. However, the tachyon self-interaction in the former is local, while in the latter it is nonlocal due to the gravitational, dilaton and higher string fields. By studying scattering of classical pulses we show that the appropriate nonlocal field redefinition converts the local matrix model interaction into the expected string form. In particular, we see how the asymptotic behavior of the gravitational field appears in the scattering.

string model
dimension: 2
matrix model: scattering
scattering: matrix model
central charge: 1
gravitation: external field
gravitation: asymptotic behavior
renormalization: wave function
scattering: string
string: scattering

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