This article is cited in 2 papers

Semiclassical Wormholes with a Smooth Throat

N. R. Khusnutdinov

Kazan State Pedagogical University

Abstract: We propose a procedure for calculating heat kernel coefficients and use it to derive the expression for any heat kernel coefficient $B_i$ for an arbitrary profile of the throat. We give an explicit form of these coefficients up to $B_3$. We study domains of possible existence of wormholes for different values of the throat length-to-radius ratio and a nonminimal coupling constant.

Keywords: zero point energy, zeta function, wormholes, quantum field theory in curved space–time.

Received: 20.02.2003

DOI: 10.4213/tmf20

 English version: Theoretical and Mathematical Physics, 2004, 138:2, 250–268

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