Particle entity in the Doi-Peliti and response field formalisms
File(s)
Author(s)
Bothe, Marius
Cocconi, Luca
Zhen, Zigan
Pruessner, Gunnar
Type
Journal Article
Abstract
We introduce a procedure to test a theory for point particle entity, that is, whether said theory takes into account the discrete nature of the constituents of the system. We then identify the mechanism whereby particle entity is enforced in the context of two field-theoretic frameworks designed to incorporate the particle nature of the degrees of freedom, namely the Doi-Peliti field theory and the response field theory that derives from Dean's equation. While the Doi-Peliti field theory encodes the particle nature at a very fundamental level that is easily revealed, demonstrating the same for Dean's equation is more involved and results in a number of surprising diagrammatic identities. We derive those and discuss their implications. These results are particularly pertinent in the context of active matter, whose surprising and often counterintuitive phenomenology rests wholly on the particle nature of the agents and their degrees of freedom as particles.
Date Issued
2023-04-28
Date Acceptance
2023-03-15
Citation
Journal of Physics A: Mathematical and Theoretical, 2023, 56 (17), pp.1-33
ISSN
1751-8113
Publisher
IOP Publishing
Start Page
1
End Page
33
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
56
Issue
17
Copyright Statement
© 2023 The Author(s). Published by IOP Publishing Ltd. Original Content from this work may be used under the terms of the Creative Commons Attribution
4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI
4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI
License URL
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/37064595
PII: aacc498
Subjects
Doi–Peliti formalism
field theory
particle entity
response field formalism
statistical physics
Publication Status
Published
Coverage Spatial
England
Article Number
175002
Date Publish Online
2023-04-11