Precise determination of critical exponents and equation of state by field theory methods

Details Precise determination of critical exponents and equation of state by field theory methods Precise determination of critical exponents and equation of state by field theory methods

2000-02-16

arxiv.org/abs/hep-th/0002136v1

Phys.Rept.344:159-178,2001

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, tex, private macros, one figure

Scientific paper

10.1016/S0370-1573(00)00126-5

Renormalization group, and in particular its Quantum Field Theory implementation has provided us with essential tools for the description of the phase transitions and critical phenomena beyond mean field theory. We therefore review the methods, based on renormalized phi^4_3 quantum field theory and renormalization group, which have led to a precise determination of critical exponents of the N-vector model (R. Guida and J. Zinn-Justin, J. Phys. A31 (1998) 8103. cond-mat/9803240). and of the equation of state of the 3D Ising model (R. Guida and J. Zinn-Justin, Nucl. Phys. B489 [FS] (1997) 626, hep-th/9610223.). These results are among the most precise available probing field theory in a non-perturbative regime.

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