Near tricritical points with an extra conserved energy-like density, order parameter and conserved O(N) charges exhibit strong scaling z=3/2, while the energy-like density is subdiffusive with z=3.
Correlation lengths and scaling functions in the three-dimensional O(4) model
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abstract
We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length, and that of the longitudinal correlation length for T>T_c. We show that the scaling functions do not only describe the critical behaviours of the correlation lengths but encompass as well the predicted Goldstone effects, in particular the H^{-1/2}-dependence of the transverse correlation length for T<T_c. In addition, we determine the critical exponent delta=4.824(9) and several critical amplitudes from which we derive the universal amplitude ratios R_{chi}=1.084(18), Q_c=0.431(9), Q_2^T=4.91(8), Q_2^L=1.265(24) and U_{xi}^c=1.99(1). The last result supports a relation between the longitudinal and transverse correlation functions, which was conjectured to hold below T_c but seems to be valid also at T_c.
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hep-ph 1years
2026 1verdicts
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Tricritical dynamics in $\mathrm{^3He}$-$\mathrm{^4He}$ mixtures and QCD
Near tricritical points with an extra conserved energy-like density, order parameter and conserved O(N) charges exhibit strong scaling z=3/2, while the energy-like density is subdiffusive with z=3.