Renormalization group for renormalization-group equations toward the universality classification of infinite-order phase transitions
نویسندگان
چکیده
منابع مشابه
New renormalization group approach to the universality classification of infinite-order phase transitions
We derive a new renormalization group to calculate a non-trivial critical exponent of the divergent correlation length which gives a universality classification of essential singularities in infinite-order phase transitions. This method resolves the problem of a vanishing scaling matrix in infinite-order phase transitions. The exponent is obtained from the maximal eigenvalue of a scaling matrix...
متن کاملThe Exact Renormalization Group and First-order Phase Transitions
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 re...
متن کاملRenormalization-Group Study of Weakly First-Order Phase Transitions
We study the universal critical behavior near weakly first-order phase transitions for a three-dimensional model of two coupled scalar fields – the cubic anisotropy model. Renormalization-group techniques are employed within the formalism of the effective average action. We calculate the coarse-grained free energy and deduce the universal ratio of susceptibilities on either side of the phase tr...
متن کاملEnvironmentally Friendly Renormalization Group and Phase Transitions
We discuss an environmentally friendly renormalization group approach to analyze phase transitions. We intend to apply this method to the Electroweak Phase Transition. This work is in progress. We present some previously obtained results concerning a λφ 4 theory, where the main features of this algorithm are introduced.
متن کاملDeformation of a renormalization-group equation applied to infinite-order phase transitions.
By adding a linear term to a renormalization-group equation in a system exhibiting infinite-order phase transitions, the asymptotic behavior of running coupling constants is derived in an algebraic manner. A benefit of this method is presented explicitly using several examples.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.60.3688