scholarly journals Performance of the rigorous renormalization group for first-order phase transitions and topological phases

2021 ◽  
Vol 103 (19) ◽  
Author(s):  
Maxwell Block ◽  
Johannes Motruk ◽  
Snir Gazit ◽  
Michael P. Zaletel ◽  
Zeph Landau ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Topological Phases ◽  
First Order ◽  
First Order Phase

scholarly journals THE EXACT RENORMALIZATION GROUP AND FIRST-ORDER PHASE TRANSITIONS

2001 ◽  
Vol 16 (11) ◽  
pp. 1927-1939 ◽  
Author(s):  
N. TETRADIS
Keyword(s):  
Renormalization Group ◽  
Phase Transitions ◽  
Scalar Fields ◽  
Bubble Nucleation ◽  
Nucleation Theory ◽  
Three Dimensional Model ◽  
Exponential Factor ◽  
First Order ◽  
Exact Renormalization Group ◽  
First Order Phase

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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