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Equation of state and coarse grained free energy for matrix models

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arxiv hep-th/9609019 v1 pith:46RNJAN3 submitted 1996-09-02 hep-th cond-mat

J. Berges , C. Wetterich This is my paper · ORCID
classification hep-thcond-mat
keywords coarseenergyequationfreegrainedmatrixmodelsphase
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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.

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