Critical exponents for Gaussian fixed point of renormalization
Witold Haliniak, Wojciech Wislicki
TL;DR
This paper provides a detailed mathematical derivation of critical exponents near the Gaussian fixed point in renormalization, applicable to general models and dispersion cases, enhancing theoretical understanding.
Contribution
It offers a general, model-independent derivation of critical exponents for free energy and magnetization near the Gaussian fixed point.
Findings
Derived explicit formulas for critical exponents
Applicable to arbitrary dispersion cases
Enhances theoretical framework for phase transitions
Abstract
We present mathematical details of derivation of the critical exponents for the free energy and magnetization in the vicinity of the Gaussian fixed point of renormalization. We treat the problem in general terms and do not refer to particular models of interaction energy. We discuss the case of arbitrary dispersion of the fixed point.
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Taxonomy
TopicsGeomagnetism and Paleomagnetism Studies · Theoretical and Computational Physics