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Prog. Theor. Phys. Vol. 122 No. 2 (2009) pp. 323-337
Relativistic Particle in Complex Spacetime
Takayuki Hori*
Department of Economics, Teikyo University, Hachioji 192-0395, Japan
(Received March 30, 2009; Revised May 18, 2009)
Abstract:
A modified version of the bilocal particle
is presented in terms of complex spacetime.
Unusual constraint structure of the model
is studied, and a new concept of the physical equivalence is proposed
in accordance with Dirac's conjecture.
It is found that in the quantum theory the physical state conditions
are compatible with existence of eigenstates of momentum only when
the dimension of spacetime is four.
An example of scattering amplitude is calculated.
Subject Index :
104
URL :
http://ptp.ipap.jp/link?PTP/122/323/
DOI : 10.1143/PTP.122.323
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