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- W4243762425 abstract "Abstract We determine universal critical exponents that describe the continuous phase transitions in different dimensions of space. We use continued functions without any external unknown parameters to obtain analytic continuation for the recently derived 7-loop $epsilon$ expansion from $O(n)$-symmetric $phi^4$ field theory. Employing a new blended continued function, we obtain critical exponent $alpha=-0.01211$ for the phase transition of superfluid helium which matches closely with the most accurate experimental value. This result addresses the long-standing discrepancy between the theoretical predictions and precise experimental result of $O(2)$ $phi^4$ model known as $lambda$-point specific heat experimental anomaly. Further we have also examined the applicability of such continued functions in other examples of field theories." @default.
- W4243762425 created "2022-05-12" @default.
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- W4243762425 date "2021-02-22" @default.
- W4243762425 modified "2023-09-27" @default.
- W4243762425 title "Continued functions and perturbation series: Simple tools for convergence of diverging series in $O(n)$-symmetric $phi^4$ field theory at weak coupling limit" @default.
- W4243762425 doi "https://doi.org/10.21203/rs.3.rs-169743/v1" @default.
- W4243762425 hasPublicationYear "2021" @default.
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