Citation

BibTex format

@article{Arvanitakis:2022:10.1002/prop.202200003,
author = {Arvanitakis, AS and Hohm, O and Hull, C and Lekeu, V},
doi = {10.1002/prop.202200003},
journal = {Fortschritte Der Physik/Progress of Physics},
pages = {1--36},
title = {Homotopy transfer and effective field theory I: tree-level},
url = {http://dx.doi.org/10.1002/prop.202200003},
volume = {70},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We use the dictionary between general field theories and strongly homotopyalgebras to provide an algebraic formulation of the procedure of integratingout of degrees of freedom in terms of homotopy transfer. This includes moregeneral effective theories in which some massive modes are kept while othermodes of a comparable mass scale are integrated out, as first explored by Senin the context of closed string field theory. We treatL∞-algebras both in termsof a nilpotent coderivation and, on the dual space, in terms of a nilpotentderivation (corresponding to the BRST charge of the field theory) and provideexplicit formulas for homotopy transfer. These are then shown to govern theintegrating out of degrees of freedom at tree level, while the generalization toloop level will be explored in a sequel to this paper.
AU  - Arvanitakis,AS
AU  - Hohm,O
AU  - Hull,C
AU  - Lekeu,V
DO  - 10.1002/prop.202200003
EP  - 36
PY  - 2022///
SN  - 0015-8208
SP  - 1
TI  - Homotopy transfer and effective field theory I: tree-level
T2  - Fortschritte Der Physik/Progress of Physics
UR  - http://dx.doi.org/10.1002/prop.202200003
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000748606600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://onlinelibrary.wiley.com/doi/10.1002/prop.202200003
UR  - http://hdl.handle.net/10044/1/99014
VL  - 70
ER  -
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