Phys. Rev. D 40, 3512–3519 (1989)Path-integral representation of the wave function: The relativistic particleReceived 14 June 1989; published in the issue dated 15 November 1989 The path-integral representation for the wave function of a relativistic particle is studied as a model of parametrized theories. We construct the transition amplitude by means of a phase-space path integral and discuss some problems coming from the ambiguity in a gauge-fixing procedure. The explicit calculation in the canonical gauge reveals the discrepancy in the procedure of Batalin, Fradkin, and Vilkovisky as to the ambiguity of whether one has to adopt the Faddeev-Popov determinant or the absolute value of it. © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.40.3512
DOI:
10.1103/PhysRevD.40.3512
PACS:
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