Zeta-Functions and Star-Products

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dc.creatorAntonsen, Frank
dc.date1998-02-12
dc.date.accessioned2026-07-07T06:36:31Z
dc.date.available2026-07-07T06:36:31Z
dc.descriptionWe use the definition of a star (or Moyal or twisted) product to give a phasespace definition of the $ζ$-function. This allows us to derive new closed expressions for the coefficients of the heat kernel in an asymptotic expansion for operators of the form $αp^2+v(q)$. For the particular case of the harmonic oscillator we furthermore find a closed form for the Green's function. We also find a relationship between star exponentials, path integrals and Wigner functions, which in a simple example gives a relation between the star exponential of the Chern-Simons action and knot invariants.
dc.descriptionLaTeX2e with 2 Postscript figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9802031
dc.identifierhttp://arxiv.org/abs/quant-ph/9802031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100108
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleZeta-Functions and Star-Products
dc.typetext

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