Stability for QED in d = 3: An overview

J. Dimock

doi:10.1063/5.0081057

Stability for QED in d = 3: An overview

J. Dimock

Mathematics

Research output: Contribution to journal › Review article › peer-review

5 Scopus citations

Abstract

We report on a result on quantum electrodynamics on a three-dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.

Original language	English
Article number	042305
Journal	Journal of Mathematical Physics
Volume	63
Issue number	4
DOIs	https://doi.org/10.1063/5.0081057
State	Published - Apr 1 2022

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10.1063/5.0081057

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title = "Stability for QED in d = 3: An overview",

abstract = "We report on a result on quantum electrodynamics on a three-dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.",

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T2 - An overview

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N2 - We report on a result on quantum electrodynamics on a three-dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.

AB - We report on a result on quantum electrodynamics on a three-dimensional Euclidean spacetime. The model is formulated on a toroidal lattice with unit volume and variable lattice spacing. The result is that the renormalized partition function is bounded above and below uniformly in the lattice spacing. This is a first step toward showing that the partition function and correlation functions have limits as the lattice spacing goes to zero.

UR - https://www.scopus.com/pages/publications/85129062242

U2 - 10.1063/5.0081057

DO - 10.1063/5.0081057

M3 - Review article

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JO - Journal of Mathematical Physics

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Stability for QED in d = 3: An overview

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