Revisiting (logarithmic) scaling relations using renormalization group

• Published in: Condensed Matter Physics
• Date: 2017
• Main Author: Ruiz-Lorenzo, J.J.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156547
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Revisiting (logarithmic) scaling relations using renormalization group / J.J. Ruiz-Lorenzo // Condensed Matter Physics. — 2017. — Т. 20, № 1. — С. 13601: 1–10. — Бібліогр.: 25 назв. — англ.

We explicitly compute the critical exponents associated with logarithmic corrections (the so-called hatted exponents) starting from the renormalization group equations and the mean field behavior for a wide class of models at the upper critical behavior (for short and long range φ n -theories) an...