Annotation
We obtain the perturbative expression for the Green function of the massless scalar field in a curved background being the tensor product of (d − 2)-dimensional Minkowski space-time and two-dimensional conical space. For d > 4 such a spacetime is considered as the simplest model for higher-dimensional cosmic string with (d − 3) flat extra dimensions. To the lowest perturbativetheory order on the angle deficit, one computes the renormalized vacuum mean values of ⟨ϕ2(x)⟩ren and ⟨TMN(x)⟩ren, valid for arbitrary dimensionality d > 3 and curvature coupling ξ. The old results for the vacuum mean values, corresponding to the infinitely thin straight cosmic string in four dimensions, are revised.
Received: 2018 February 14
Approved: 2018 July 2
PACS:
04.62.+v Quantum fields in curved spacetime
11.10.Gh Renormalization
11.25.-w Strings and branes
11.10.Gh Renormalization
11.25.-w Strings and branes
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
Yu. V. Grats$^1$, P. A. Spirin$^1$
$^1$MSU, Faculty of Physics
$^1$MSU, Faculty of Physics