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Quantum energy inequalities in two-dimensional conformal field theory

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Quantum energy inequalities in two-dimensional conformal field theory. / Fewster, C J; Hollands, S.

In: Reviews in Mathematical Physics, Vol. 17, No. 5, 06.2005, p. 577-612.

Research output: Contribution to journalLiterature reviewpeer-review

Harvard

Fewster, CJ & Hollands, S 2005, 'Quantum energy inequalities in two-dimensional conformal field theory', Reviews in Mathematical Physics, vol. 17, no. 5, pp. 577-612. https://doi.org/10.1142/S0129055X05002406

APA

Fewster, C. J., & Hollands, S. (2005). Quantum energy inequalities in two-dimensional conformal field theory. Reviews in Mathematical Physics, 17(5), 577-612. https://doi.org/10.1142/S0129055X05002406

Vancouver

Fewster CJ, Hollands S. Quantum energy inequalities in two-dimensional conformal field theory. Reviews in Mathematical Physics. 2005 Jun;17(5):577-612. https://doi.org/10.1142/S0129055X05002406

Author

Fewster, C J ; Hollands, S. / Quantum energy inequalities in two-dimensional conformal field theory. In: Reviews in Mathematical Physics. 2005 ; Vol. 17, No. 5. pp. 577-612.

Bibtex - Download

@article{f76f0fa4a36e43ce978e7c2a62335f63,
title = "Quantum energy inequalities in two-dimensional conformal field theory",
abstract = "Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general {"}moving mirror{"} models.",
keywords = "quantum field theory, energy inequalities, conformal field theory, 2 DIMENSIONS, SPACE-TIME, UNITARY REPRESENTATIONS, GENERAL-RELATIVITY, WARP DRIVE, INVARIANCE, TRAVEL",
author = "Fewster, {C J} and S Hollands",
year = "2005",
month = jun,
doi = "10.1142/S0129055X05002406",
language = "English",
volume = "17",
pages = "577--612",
journal = "Reviews in Mathematical Physics",
issn = "0129-055X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "5",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Quantum energy inequalities in two-dimensional conformal field theory

AU - Fewster, C J

AU - Hollands, S

PY - 2005/6

Y1 - 2005/6

N2 - Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models.

AB - Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted averages of the stress-energy tensor, and have been established for several free quantum field models. We present rigorous QEI bounds for a class of interacting quantum fields, namely the unitary, positive energy conformal field theories (with stress-energy tensor) on two-dimensional Minkowski space. The QEI bound depends on the weight used to average the stress-energy tensor and the central charge(s) of the theory, but not on the quantum state. We give bounds for various situations: averaging along timelike, null and spacelike curves, as well as over a space-time volume. In addition, we consider boundary conformal field theories and more general "moving mirror" models.

KW - quantum field theory

KW - energy inequalities

KW - conformal field theory

KW - 2 DIMENSIONS

KW - SPACE-TIME

KW - UNITARY REPRESENTATIONS

KW - GENERAL-RELATIVITY

KW - WARP DRIVE

KW - INVARIANCE

KW - TRAVEL

U2 - 10.1142/S0129055X05002406

DO - 10.1142/S0129055X05002406

M3 - Literature review

VL - 17

SP - 577

EP - 612

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

SN - 0129-055X

IS - 5

ER -