Equation of state and coarse grained free energy for matrix models

Abstract

We investigate phase transitions in three dimensional scalar matrix models, with special emphasis on complex $2\times 2$ matrices. The universal equation of state for weak first order phase transitions is computed. We also study the coarse grained free energy. Its dependence on the coarse graining scale gives a quantitative criterion for the validity of the standard treatment of bubble nucleation.

Latex, 48 pages

References in corpus (1)

• Exact evolution equation for the effective potential

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