The star exponential and path integrals on compact groups
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Abstract
Using the star exponential, a path integral is constructed for arbitrary compact Lie groups. This is a globalization of the results of Alcalde, Cadavid, and Nakashima, in which a path integral was constructed for SU(2) in terms of local coordinates. Also the phase factor encountered by Alcalde, Cadavid, and Nakashima is shown to be zero.
AMS subject classifications (1991)
81S40 81T70 53C80 43A77Preview
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References
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© Kluwer Academic Publishers 1991