The Scattering phase shifts in the sine-Gordon and sinh-Gordon field theories

Lu, Wen-Fa; Xu, Bo-Wei; Zhang, Yu-Mei

doi:10.1016/0370-2693(93)91512-L

The Scattering phase shifts in the sine-Gordon and sinh-Gordon field theories

1993

5 pages

Published in:

Phys.Lett.B 309 (1993) 109-113

DOI:

10.1016/0370-2693(93)91512-L

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Abstract: (Elsevier)

Scattering two-particle states of the sine-Gordon and sinh-Gordon models in D + 1 dimensions are investigated for all values of the coupling constant with the Gaussian wave-functional approach. In 1 + 1 and 2 + 1 dimensions, the phase shifts of the scattering states are obtained. We find that the phase shifts are positive for the sine-Gordon field theory and negative for the sinh-Gordon field theory. In the higher dimensions, the phase shifts vanish, which is coincident with the triviality of the two field theories.

sine-Gordon equation
sinh-Gordon equation
partial wave
field theory: any-dimensional
wave function

References(11)

Figures(0)

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