English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We compute the effective potential $V_{\rm eff}(\phi)$ for one-component realscalar field $\phi$ in three Euclidean dimensions (3D) in the case ofspontaneously broken symmetry, from the Monte Carlo simulation of the 3D Isingmodel in external field at temperatures approaching the phase transition frombelow. We study probability distributions of the order parameter on thelattices from $30^3$ to $74^3$, at $L/\xi \approx 10$. We find that, in closeanalogy with the symmetric case, $\phi^6$ plays an important role: $V_{\rmeff}(\phi)$ is very well approximated by the sum of $\phi^2$, $\phi^4$ and$\phi^6$ terms. An unexpected feature is the negative sign of the $\phi^4$term. As close to the continuum limit as we can get ($\xi \approx 7.2$), weobtain  $$ {\cal L}_{\rm eff} \approx  {1 \over 2} \partial_\mu \phi \partial_\mu \phi +  1.7 (\phi^2 - \eta^2)^2 (\phi^2 + \eta^2). $$  We also compute several universal coupling constants and ratios, includingthe combination of critical amplitudes $C^- (f_1^-)^{-3} B^{-2}$.Comment: 13 pages, 5 Postscript figures, uses epsf.st

Effective potential for a scalar field in three dimensions: Ising model in the ferromagnetic phase