no. 4
Diffeomorphisms of scalar quantum fields via generating functions
Annales de l’Institut Henri Poincaré D, Volume 10 (2023) no. 4, pp. 611-633
The full text of recent articles is available to journal subscribers only. See the article on the journal's website.

We study the application of formal diffeomorphisms to scalar fields. We give a new proof that interacting tree amplitudes vanish in the resulting theories. Our proof is directly at the diagrammatic level, not appealing to the path integral, and proceeds via a generating function analysis, so it is more insightful than previous proofs. Along the way, we give new combinatorial proofs of some Bell polynomial identities, and we comment on the connection with the combinatorial Legendre transform.

Received:
Accepted:
Published online:
DOI: 10.4171/aihpd/161
Classification: 81-XX, 05-XX
Keywords: Field diffeomorphisms, generating functions, Bell polynomials 
@article{AIHPD_2023__10_4_611_0,
     author = {Mahmoud, Ali Assem and Yeats, Karen},
     title = {Diffeomorphisms of scalar quantum fields via generating functions},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {611--633},
     year = {2023},
     volume = {10},
     number = {4},
     doi = {10.4171/aihpd/161},
     mrnumber = {4653793},
     zbl = {1534.81095},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/161/}
}
TY  - JOUR
AU  - Mahmoud, Ali Assem
AU  - Yeats, Karen
TI  - Diffeomorphisms of scalar quantum fields via generating functions
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2023
SP  - 611
EP  - 633
VL  - 10
IS  - 4
UR  - https://www.numdam.org/articles/10.4171/aihpd/161/
DO  - 10.4171/aihpd/161
LA  - en
ID  - AIHPD_2023__10_4_611_0
ER  - 
%0 Journal Article
%A Mahmoud, Ali Assem
%A Yeats, Karen
%T Diffeomorphisms of scalar quantum fields via generating functions
%J Annales de l’Institut Henri Poincaré D
%D 2023
%P 611-633
%V 10
%N 4
%U https://www.numdam.org/articles/10.4171/aihpd/161/
%R 10.4171/aihpd/161
%G en
%F AIHPD_2023__10_4_611_0
Mahmoud, Ali Assem; Yeats, Karen. Diffeomorphisms of scalar quantum fields via generating functions. Annales de l’Institut Henri Poincaré D, Volume 10 (2023) no. 4, pp. 611-633. doi: 10.4171/aihpd/161

Cited by Sources: