• Title of article

    Dimensional regularization of the path integral in curved space on an infinite time interval

  • Author/Authors

    F. Bastianelli، نويسنده , , O. Corradini، نويسنده , , P. van Nieuwenhuizen، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    9
  • From page
    154
  • To page
    162
  • Abstract
    We use dimensional regularization to evaluate quantum mechanical path integrals in arbitrary curved spaces on an infinite time interval. We perform 3-loop calculations in Riemann normal coordinates, and 2-loop calculations in general coordinates. It is shown that one only needs a covariant two-loop counterterm (VDR=ℏ28R) to obtain the same results as obtained earlier in other regularization schemes. It is also shown that the mass term needed in order to avoid infrared divergences explicitly breaks general covariance in the final result.
  • Journal title
    PHYSICS LETTERS B
  • Serial Year
    2000
  • Journal title
    PHYSICS LETTERS B
  • Record number

    913409