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

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

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

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

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

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

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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",

}

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 -