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Negative power spectra in quantum field theory |
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| Authors: | Jen-Tsung Hsiang L.H. Ford |
| Affiliation: | a Department of Physics, National Dong Hwa University, Hualien, Taiwan b Department of Physics, Soochow University, 70 Linhsi Road, Shihlin, Taipei 111, Taiwan c Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA |
| Abstract: | We consider the spatial power spectra associated with fluctuations of quadratic operators in field theory, such as quantum stress tensor components. We show that the power spectrum can be negative, in contrast to most fluctuation phenomena where the Wiener-Khinchin theorem requires a positive power spectrum. We show why the usual argument for positivity fails in this case, and discuss the physical interpretation of negative power spectra. Possible applications to cosmology are discussed. |
| Keywords: | Fluctuation power spectrum Wiener-Khinchin theorem Stress tensor fluctuations Negative power Correlations Anticorrelations |
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