Negative power spectra in quantum field theory

Jen Tsung Hsiang; Chun Hsien Wu; L. H. Ford

doi:10.1016/j.physleta.2011.04.052

Negative power spectra in quantum field theory

Jen Tsung Hsiang, Chun Hsien Wu, L. H. Ford

Center for High Energy and High Field Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	2296-2299
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	375
Issue number	24
DOIs	https://doi.org/10.1016/j.physleta.2011.04.052
State	Published - 13 Jun 2011

Keywords

Anticorrelations
Correlations
Fluctuation power spectrum
Negative power
Stress tensor fluctuations
Wiener-Khinchin theorem

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10.1016/j.physleta.2011.04.052

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title = "Negative power spectra in quantum field theory",

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 = "Anticorrelations, Correlations, Fluctuation power spectrum, Negative power, Stress tensor fluctuations, Wiener-Khinchin theorem",

author = "Hsiang, {Jen Tsung} and Wu, {Chun Hsien} and Ford, {L. H.}",

note = "Funding Information: We would like to thank Shun-Pei Miao, Kin-Wang Ng, Richard Woodard, and the participants of the 14th and 15th Peyresq workshops for valuable discussions. This work was supported in part by National Science Foundation Grant PHY-0855360 and by Grant NSC99-2112-M-031-002-MY3 . ",

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T1 - Negative power spectra in quantum field theory

AU - Hsiang, Jen Tsung

AU - Wu, Chun Hsien

AU - Ford, L. H.

N1 - Funding Information: We would like to thank Shun-Pei Miao, Kin-Wang Ng, Richard Woodard, and the participants of the 14th and 15th Peyresq workshops for valuable discussions. This work was supported in part by National Science Foundation Grant PHY-0855360 and by Grant NSC99-2112-M-031-002-MY3 .

PY - 2011/6/13

Y1 - 2011/6/13

N2 - 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.

AB - 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.

KW - Anticorrelations

KW - Correlations

KW - Fluctuation power spectrum

KW - Negative power

KW - Stress tensor fluctuations

KW - Wiener-Khinchin theorem

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U2 - 10.1016/j.physleta.2011.04.052

DO - 10.1016/j.physleta.2011.04.052

M3 - 期刊論文

AN - SCOPUS:79957472287

SN - 0375-9601

VL - 375

SP - 2296

EP - 2299

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 24

ER -

Negative power spectra in quantum field theory

Abstract

Keywords

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