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Quantum Energy Inequalities in Pre-Metric Electrodynamics

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Quantum Energy Inequalities in Pre-Metric Electrodynamics. / Fewster, Christopher John; Pfeiffer, Christian; Siemssen, Daniel.

In: Phys Rev D, Vol. 97, 025019, 25.01.2018.

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Harvard

Fewster, CJ, Pfeiffer, C & Siemssen, D 2018, 'Quantum Energy Inequalities in Pre-Metric Electrodynamics', Phys Rev D, vol. 97, 025019. https://doi.org/10.1103/PhysRevD.97.025019

APA

Fewster, C. J., Pfeiffer, C., & Siemssen, D. (2018). Quantum Energy Inequalities in Pre-Metric Electrodynamics. Phys Rev D, 97, [025019]. https://doi.org/10.1103/PhysRevD.97.025019

Vancouver

Fewster CJ, Pfeiffer C, Siemssen D. Quantum Energy Inequalities in Pre-Metric Electrodynamics. Phys Rev D. 2018 Jan 25;97. 025019. https://doi.org/10.1103/PhysRevD.97.025019

Author

Fewster, Christopher John ; Pfeiffer, Christian ; Siemssen, Daniel. / Quantum Energy Inequalities in Pre-Metric Electrodynamics. In: Phys Rev D. 2018 ; Vol. 97.

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@article{276c6d731a41490aace818f6be08a997,
title = "Quantum Energy Inequalities in Pre-Metric Electrodynamics",
abstract = "Pre-metric electrodynamics is a covariant framework for electromagnetism with a general constitutive law. Its lightcone structure can be more complicated than that of Maxwell theory as is shown by the phenomenon of birefringence. We study the energy density of quantized pre-metric electrodynamics theories with linear constitutive laws admitting a single hyperbolicity double-cone and show that averages of the energy density along the worldlines of suitable observers obey a Quantum Energy Inequality (QEI) in states that satisfy a microlocal spectrum condition. The worldlines must meet two conditions: (a) the classical weak energy condition must hold along them, and (b) their velocity vectors have positive contractions with all positive frequency null covectors (we call such trajectories `subluminal').After stating our general results, we explicitly quantize the electromagnetic potential in a translationally invariant uniaxial birefringent crystal. Since the propagation of light in such a crystal is governed by two nested lightcones, the theory shows features absent in ordinary (quantized) Maxwell electrodynamics. We then compute a QEI bound for worldlines of inertial `subluminal' observers, which generalizes known results from the Maxwell theory. Finally, it is shown that the QEIs fail along trajectories that have velocity vectors which are timelike with respect to only one of the lightcones. ",
author = "Fewster, {Christopher John} and Christian Pfeiffer and Daniel Siemssen",
note = "{\textcopyright}2017 American Physical Society. All rights reserved. ",
year = "2018",
month = jan,
day = "25",
doi = "10.1103/PhysRevD.97.025019",
language = "English",
volume = "97",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",

}

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TY - JOUR

T1 - Quantum Energy Inequalities in Pre-Metric Electrodynamics

AU - Fewster, Christopher John

AU - Pfeiffer, Christian

AU - Siemssen, Daniel

N1 - ©2017 American Physical Society. All rights reserved.

PY - 2018/1/25

Y1 - 2018/1/25

N2 - Pre-metric electrodynamics is a covariant framework for electromagnetism with a general constitutive law. Its lightcone structure can be more complicated than that of Maxwell theory as is shown by the phenomenon of birefringence. We study the energy density of quantized pre-metric electrodynamics theories with linear constitutive laws admitting a single hyperbolicity double-cone and show that averages of the energy density along the worldlines of suitable observers obey a Quantum Energy Inequality (QEI) in states that satisfy a microlocal spectrum condition. The worldlines must meet two conditions: (a) the classical weak energy condition must hold along them, and (b) their velocity vectors have positive contractions with all positive frequency null covectors (we call such trajectories `subluminal').After stating our general results, we explicitly quantize the electromagnetic potential in a translationally invariant uniaxial birefringent crystal. Since the propagation of light in such a crystal is governed by two nested lightcones, the theory shows features absent in ordinary (quantized) Maxwell electrodynamics. We then compute a QEI bound for worldlines of inertial `subluminal' observers, which generalizes known results from the Maxwell theory. Finally, it is shown that the QEIs fail along trajectories that have velocity vectors which are timelike with respect to only one of the lightcones.

AB - Pre-metric electrodynamics is a covariant framework for electromagnetism with a general constitutive law. Its lightcone structure can be more complicated than that of Maxwell theory as is shown by the phenomenon of birefringence. We study the energy density of quantized pre-metric electrodynamics theories with linear constitutive laws admitting a single hyperbolicity double-cone and show that averages of the energy density along the worldlines of suitable observers obey a Quantum Energy Inequality (QEI) in states that satisfy a microlocal spectrum condition. The worldlines must meet two conditions: (a) the classical weak energy condition must hold along them, and (b) their velocity vectors have positive contractions with all positive frequency null covectors (we call such trajectories `subluminal').After stating our general results, we explicitly quantize the electromagnetic potential in a translationally invariant uniaxial birefringent crystal. Since the propagation of light in such a crystal is governed by two nested lightcones, the theory shows features absent in ordinary (quantized) Maxwell electrodynamics. We then compute a QEI bound for worldlines of inertial `subluminal' observers, which generalizes known results from the Maxwell theory. Finally, it is shown that the QEIs fail along trajectories that have velocity vectors which are timelike with respect to only one of the lightcones.

U2 - 10.1103/PhysRevD.97.025019

DO - 10.1103/PhysRevD.97.025019

M3 - Article

VL - 97

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

M1 - 025019

ER -