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The Renormalization Group

2000
The renormalization group was discovered in relativistic field theories by Stuckleberg, and independently by Gell-Mann and Low. Later Leo Kadanoff understood that something similar to the field theory renormalization group was the origin of universality in critical phenomena.
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Renormalization Group

2009
Abstract At a critical point, the correlation length diverges: the statistical influctuations extend on all scales of the system and any attempt to solve the dynamics by taking into account only a finite number of degrees of freedom fails.
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The Renormalization Group

2015
In the previous chapters, we saw that the mean-field approach always determines the critical or spinodal indices as simple integers or rational fractions, like 1 or 5/2. Even more, such indices are considered to be an indicator that the behavior of a system is dominated by the mean-field approach. If the exact solution of a problem provided such simple
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Functional Renormalization Group

2013
The functional renormalization group is a particular implementation of the renormalization group concept which combines functional methods of quantum field theory with the renormalization group idea of Kenneth Wilson. It interpolates smoothly between the known microscopic laws and the complex macroscopic phenomena in physical systems.
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Renormalization Group

2011
Stephen J. Gustafson   +1 more
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