Quantum energy inequality for the massive Ising model

H. Bostelmann; D. Cadamuro; Chris Fewster

doi:10.1103/PhysRevD.88.025019

Quantum energy inequality for the massive Ising model

H. Bostelmann, D. Cadamuro, Chris Fewster

Mathematics

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

Abstract

A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.

Original language	English
Article number	025019
Number of pages	6
Journal	Physical Review D
Volume	88
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.88.025019
Publication status	Published - 10 Jul 2013

Access to Document

10.1103/PhysRevD.88.025019

http://arxiv.org/abs/1304.7682

2 Invited talk
1 Conference participation

Spectrum of the energy density in integrable models
Bostelmann, H. (Invited speaker)
14 Nov 2014
Activity: Talk or presentation › Invited talk
Quantum energy inequalities in integrable models
Bostelmann, H. (Invited speaker)
28 Feb 2014
Activity: Talk or presentation › Invited talk
North British Mathematical Physics Seminar 38
Bostelmann, H. (Speaker)
15 May 2013
Activity: Participating in or organising an event › Conference participation

Cite this

@article{d2303f109f16474cb2ff74d53fd27bbc,

title = "Quantum energy inequality for the massive Ising model",

abstract = "A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations. ",

author = "H. Bostelmann and D. Cadamuro and Chris Fewster",

year = "2013",

month = jul,

day = "10",

doi = "10.1103/PhysRevD.88.025019",

language = "English",

volume = "88",

journal = "Physical Review D",

issn = "1550-2368",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Quantum energy inequality for the massive Ising model

AU - Bostelmann, H.

AU - Cadamuro, D.

AU - Fewster, Chris

PY - 2013/7/10

Y1 - 2013/7/10

N2 - A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.

AB - A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with nontrivial S-matrix. It is shown that the Ising model has one-particle states with locally negative energy densities, and that the energy density operator is not additive with respect to combination of one-particle states into multi-particle configurations.

U2 - 10.1103/PhysRevD.88.025019

DO - 10.1103/PhysRevD.88.025019

M3 - Article

SN - 1550-2368

VL - 88

JO - Physical Review D

JF - Physical Review D

IS - 2

M1 - 025019

ER -

Quantum energy inequality for the massive Ising model

Abstract

Access to Document

Activities

Spectrum of the energy density in integrable models

Quantum energy inequalities in integrable models

North British Mathematical Physics Seminar 38

Cite this