The Exact Renormalization Group and First-Order Phase Transitions

Details The Exact Renormalization Group and First-Order Phase Transitions The Exact Renormalization Group and First-Order Phase Transitions

2000-12-12

arxiv.org/abs/hep-th/0012107v1

Int.J.Mod.Phys. A16 (2001) 1927-1940

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures, Invited talk at the Second Conference on the Exact Renormalization Group, Rome, September 2000

Scientific paper

10.1142/S0217751X01004578

Studies of first-order phase transitions through the use of the exact renormalization group are reviewed. In the first part the emphasis is on universal aspects: We discuss the universal critical behaviour near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields -- the cubic anisotropy model. In the second part we review the application of the exact renormalization group to the calculation of bubble-nucleation rates. More specifically, we concentrate on the pre-exponential factor. We discuss the reliability of homogeneous nucleation theory that employs a saddle-point expansion around the critical bubble for the calculation of the nucleation rate.

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