Ambiguity in Determining the Effective Action for String-Corrected Einstein Gravity
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概要
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We attempt to clarify some issues dealing with the determination of some of the coefficients in the low-energy gravitational effective action for closed strings. An explicit calculation is generalized demonstrating that the coefficients of the R^2_<μν> and R^2 terms of completely general quadratic curvature corrections to the Einstein-Hilbert action cannot be determined by matching the on-shell S-matrix of the effective theory with those of the string theories. Although ghost poles will appear in the graviton propagator for general quadratic curvature corrections, the effective theory remains unitary, the pole dependence cancelling completely from the scattering amplitude. The manifest absence of ghosts is achieved by choosing the Grauss-Bonnet combination of quadratic curvatures, but the requirement of unitarity does not uniquely specify this combination.
- 理論物理学刊行会の論文
- 1987-09-25
著者
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Hochberg D.
Rutherford Appleton Laboratory
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SHIMADA Tokuzo
Niels ohr Institute
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SHIMADA Tsuyoshi
Department of Applied Physics, Fukui University
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