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Report on Renormalization Group
2010In this lecture we want to present the problem of the research of automodel probability distributions in comparison with usual integral and local central limit theorems. We think that this approach is instructive for understanding the main mathematical idea underlyng this kind of problems.
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2016
The renormalization group was originally introduced as a multiscale approach to quantum field theory and the theory of critical phenomena, explaining in particular the universality observed e.g. in critical exponents. Since then it has become a hugely important tool in statistical mechanics, condensed matter and high energy physics.
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The renormalization group was originally introduced as a multiscale approach to quantum field theory and the theory of critical phenomena, explaining in particular the universality observed e.g. in critical exponents. Since then it has become a hugely important tool in statistical mechanics, condensed matter and high energy physics.
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1992
Abstract We are part of the way towards understanding the Landau-Ginzburg model in the critical regime. We have been able to calculate two critical exponents, one of which describes the system at T = Tc and the other at T ≠ Tc. If we are prepared to accept the scaling laws for which we found experimental evidence in Chapter 1, and ...
J J Binney +3 more
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Abstract We are part of the way towards understanding the Landau-Ginzburg model in the critical regime. We have been able to calculate two critical exponents, one of which describes the system at T = Tc and the other at T ≠ Tc. If we are prepared to accept the scaling laws for which we found experimental evidence in Chapter 1, and ...
J J Binney +3 more
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Il Nuovo Cimento, 1965
The origin of the renormalization group is re-examined and various applications of the theory are discussed. The attention is focused on the limitations of these methods, and it is found that supplementary conditions are required besides the group equations in order to get unique results. These additional conditions on the solutions form the very basis
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The origin of the renormalization group is re-examined and various applications of the theory are discussed. The attention is focused on the limitations of these methods, and it is found that supplementary conditions are required besides the group equations in order to get unique results. These additional conditions on the solutions form the very basis
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Renormalization group analysis of turbulence. I. Basic theory
Physical Review Letters, 1986V. Yakhot, S. Orszag
semanticscholar +1 more source
1999
We now turn to the problem of renormalizing our field theory to all orders in perturbation theory. To this end, we shall define a flow of effective actions, by defining an effective action that depends on a scale parameter ∧. The differential equation obtained by applying ∂/∂∧ to the functional integral for the effective action is the renormalization ...
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We now turn to the problem of renormalizing our field theory to all orders in perturbation theory. To this end, we shall define a flow of effective actions, by defining an effective action that depends on a scale parameter ∧. The differential equation obtained by applying ∂/∂∧ to the functional integral for the effective action is the renormalization ...
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