https://doi.org/10.1140/epjb/s10051-023-00494-2
Regular Article - Statistical and Nonlinear Physics
Continued functions and critical exponents: tools for analytical continuation of divergent expressions in phase transition studies
Department of Physics, National Institute of Technology, 620015, Tiruchirappalli, India
Received:
24
November
2022
Accepted:
11
February
2023
Published online:
8
March
2023
Resummation methods using continued functions are implemented to converge divergent series appearing in perturbation problems related to continuous phase transitions in field theories. In some cases, better convergence properties are obtained using continued functions than diagonal Padé approximants, which are extensively used in literature. We check the reliability of critical exponent estimates derived previously in universality classes of O(n)-symmetric models (classical phase transitions) and Gross–Neveu–Yukawa models (quantum phase transitions) using new methods.
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