On the quantum finite-size scaling

Abstract

We verify the finite-size scaling hypothesis in the presence of quantum fluctuations up to one-loop order in the ϵ-expansion, using the formalism of Brezin [1], Brezin and Zinn-Justin [2] and Rudnick et al. [3]. The analysis is performed within the framework of three models commonly used in the theory of structural phase transitions, superconducting phase transitions and Bose systems.