Continued functions and critical exponents: tools for analytical continuation of divergent expressions in phase transition studies

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...

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Bibliographic Details
Published in:The European physical journal. B, Condensed matter physics Condensed matter physics, 2023-03, Vol.96 (3), Article 31
Main Authors: Abhignan, Venkat, Sankaranarayanan, R.
Format: Article
Language:English
Subjects:
Complex Systems
Condensed Matter Physics
Convergence
Fluid- and Aerodynamics
Perturbation
Phase transitions
Physics
Physics and Astronomy
Regular Article - Statistical and Nonlinear Physics
Solid State Physics
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Summary: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. Graphic Abstract
ISSN:1434-6028
1434-6036
DOI:10.1140/epjb/s10051-023-00494-2