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September 17, 2025Journal of Physics A Mathematical and Theoretical

Four-loop renormalization with a cutoff in a sextic model

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Authors

NKN. V. KharukRussian Academy of Sciences

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Overview

Four-loop renormalization is demonstrated in a three-dimensional sextic model, suggesting insights into cutoff regularization and Green's function behavior.

Key Points

  • The four-loop renormalization of a three-dimensional sextic model reveals significant coefficients for renormalization constants.
  • Using the background field method, the study confirms the applicability of the R-operation in the chosen regularization framework.
  • The analysis shows the absence of nonlocal contributions, emphasizing the model's control over singular behavior.
  • Power and logarithmic singularities are examined, revealing their dependence on how the Green's function is deformed.

Cite This Study

N. V. Kharuk (2025) studied this question.

synapsesocial.com/papers/68d4567431b076d99fa5bf4fhttps://doi.org/10.1088/1751-8121/ae0798
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