Green's Functions on a Wormhole and Induced Operators

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概要

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• We have evaluated a Green's function of a minimally coupled scalar field on a wormhole background. The Green's function is written in terms of the eigenfunctions and eigenvalues of the Laplacian operator with a spherical symmetry, thus the problem being reduced to a one-dimensional potential barrier problem in quantum mechanics, and is finally solved by a numerical calculation. We have shown that the asymptotic form of the Green's function connected by a wormhole has the τ-dependence 〜 1/|τ|^2|τ'|^2. This τ-dependence is interpreted as an appearance of a pair of local operators in the wormhole ends, 〜ψ(p(x_0)ψ(x'_0). The procedure we used in this paper may be extended to calculate a Green's function of a field with higher spin, in which case the angular variables are separated with appropriate (spinor, vector, tensor, ・ ・ ・) harmonics and the eigenvalue equation is reduced to one-dimensional potential barrier problem just as the calculation of the scalar Green's function. Averaging over the relative angles between the two asymptotic regions is rather complicated, however.

• 素粒子論グループ 素粒子研究編集部の論文
• 1991-12-20

著者

• 後藤 亨

  Theory Group Kek

• 後藤 亨

  東北大・理

• Okada Yasuhiro

  Tohoku University

関連論文

• 超対称大統一理論における右巻きニュートリノとFCNC過程、レプトンフレーバーの破れおよびミュー粒子の異常磁気能率(新世紀の素粒子像,研究会報告)
• Green's Functions on a Wormhole and Induced Operators
• Wormhole Solution in Scalar Theories with Non-abelian Global Symmetry〔邦文〕 (量子重力(研究会報告))

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