Geodesic
Three-loop renormalization with a cutoff in a sextic model
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 273-286

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The paper studies the quantum action for the three-dimensional real theory $\phi^6$ using the background field method. Three-loop renormalization is performed with a cutoff regularization in the coordinate representation. An explicit form of the first three coefficients for the renormalization constants is presented. The absence of non-local singular contributions is discussed. 
@article{ZNSL_2024_532_a12,
     author = {N. V. Kharuk},
     title = {Three-loop renormalization with a cutoff in a sextic model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {273--286},
     publisher = {mathdoc},
     volume = {532},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_532_a12/}
}
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N. V. Kharuk. Three-loop renormalization with a cutoff in a sextic model. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 30, Tome 532 (2024), pp. 273-286. http://geodesic.mathdoc.fr/item/ZNSL_2024_532_a12/