Quantum energy inequalities in two-dimensional conformal field theory

C J Fewster; S Hollands

doi:10.1142/S0129055X05002406

Quantum energy inequalities in two-dimensional conformal field theory

C J Fewster, S Hollands

Mathematics

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

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.

Original language	English
Pages (from-to)	577-612
Number of pages	36
Journal	Reviews in Mathematical Physics
Volume	17
Issue number	5
DOIs	https://doi.org/10.1142/S0129055X05002406
Publication status	Published - Jun 2005

Keywords

quantum field theory
energy inequalities
conformal field theory
2 DIMENSIONS
SPACE-TIME
UNITARY REPRESENTATIONS
GENERAL-RELATIVITY
WARP DRIVE
INVARIANCE
TRAVEL

Access to Document

10.1142/S0129055X05002406

http://dx.doi.org/10.1142/S0129055X05002406

Cite this

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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",

number = "5",

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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

SN - 0129-055X

VL - 17

SP - 577

EP - 612

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 5

ER -