Dynamic critical phenomena from spectral functions on the lattice

Details Dynamic critical phenomena from spectral functions on the lattice Dynamic critical phenomena from spectral functions on the lattice

2009-12-16

arxiv.org/abs/0912.3135v2

Nucl.Phys.B832:228-240,2010

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 6 figures, NPB version, minor changes

Scientific paper

10.1016/j.nuclphysb.2010.02.007

We investigate spectral functions in the vicinity of the critical temperature of a second-order phase transition. Since critical phenomena in quantum field theories are governed by classical dynamics, universal properties can be computed using real-time lattice simulations. For the example of a relativistic single-component scalar field theory in 2+1 dimensions, we compute the spectral function described by universal scaling functions and extract the dynamic critical exponent z. Together with exactly known static properties of this theory, we obtain a verification from first principles that the relativistic theory is well described by the dynamic universality class of relaxational models with conserved density (Model C).

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