Year: 2013
Type: article
Abstract: We consider the classical $O(N)$-symmetric models confined in a $d$-dimensional slablike geometry and subject to periodic boundary conditions. Applying the one-particle-irreducible variant of functional renormalization group (RG), we compute the critical Casimir forces acting between the slab boundaries. The applied truncation of the exact functional RG flow equation retains interaction vertices of arbitrary order. We evaluate the critical Casimir amplitudes ${\ensuremath{\Delta}}_{f}(d,N)$ for continuously varying dimensionality between two and three and $N=1,2$. Our findings are in very good agreement with exact results for $d=2$ and $N=1$. For $d=3$, our results are closer to Monte Carlo predictions than earlier field-theoretic RG calculations. Inclusion of the wave function renormalization and the corresponding anomalous dimension in the calculation has negligible impact on the computed Casimir forces.
Source: Physical Review B
Authors: P. Jakubczyk, M. Napiórkowski
Institution: University of Warsaw
Language: Latvian
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2017557509