advanced_tools:renormalization_group
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advanced_tools:renormalization_group [2018/04/09 06:42] ronaldwilliams |
advanced_tools:renormalization_group [2018/05/05 12:46] jakobadmin |
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| <tabbox Intuitive> | <tabbox Intuitive> | ||
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| - | **[Y]ou are arranging the theory in such a way that only the right degrees of freedom, the ones that are really relevant to you, are appearing in your equations. I think that this is in the end what the renormalization group is all about.** It's a way of satisfying the Third Law of Progress in Theoretical Physics, which is that //you may use any degrees of freedom you like to describe a physical system, but if you use the wrong ones, you'll be sorry//. | + | You are arranging the theory in such a way that only the right degrees of freedom, the ones that are really relevant to you, are appearing in your equations. I think that this is in the end what the renormalization group is all about. It's a way of satisfying the Third Law of Progress in Theoretical Physics, which is that //you may use any degrees of freedom you like to describe a physical system, but if you use the wrong ones, you'll be sorry//. |
| <cite>[[https://www.physics.ohio-state.edu/~ntg/8805/refs/weinberg_rg_good_thing.pdf|Why the Renormalization Group Is a Good Thing]] by Steven Weinberg</cite> | <cite>[[https://www.physics.ohio-state.edu/~ntg/8805/refs/weinberg_rg_good_thing.pdf|Why the Renormalization Group Is a Good Thing]] by Steven Weinberg</cite> | ||
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| <tabbox Concrete> | <tabbox Concrete> | ||
| - | - First, have a look at http://philosophy.wisc.edu/forster/Percolation.pdf | + | |
| - | - Then read http://jakobschwichtenberg.com/renormalization-group-flow/ | + | |
| - | - Then, the best complete introduction can be found in Critical point phenomena: universal physics at large length scales by Bruce, A.; Wallace, D. published in the book The new physics, edited by P. Davies | + | |
| - | - Afterwards read https://www.andrew.cmu.edu/user/kk3n/found-phys-emerge.pdf which explains lucidly many of the most important "advanced" concepts. | + | |
| - | - See also "[[https://www.physics.ohio-state.edu/~ntg/8805/refs/weinberg_rg_good_thing.pdf|Why the Renormalization Group Is a Good Thing]]" by S. Weinberg | + | |
| - | - [[https://inspirehep.net/record/109631|Critical Phenomena for Field Theorists]] by Steven Weinberg | + | |
| - | - Also the video course: [[https://www.complexityexplorer.org/tutorials/67-introduction-to-renormalization/segments/5681|Introduction to Renormalization]] by Simon DeDeo is highly recommended to understand how the renormalization group can be used in other fields than physics. | + | |
| - | - http://www.damtp.cam.ac.uk/user/tong/sft.html | + | |
| - | - [[https://arxiv.org/abs/hep-th/0212049|A hint of renormalization]] by B. Delamotte | + | |
| **Recommended Textbooks:** | **Recommended Textbooks:** | ||
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| ---- | ---- | ||
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| --> Navier-Stokes Equation# | --> Navier-Stokes Equation# | ||
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| * See also Critical Point: A Historical Introduction to the Modern Theory of Critical Phenomena by CYRIL DOMB | * See also Critical Point: A Historical Introduction to the Modern Theory of Critical Phenomena by CYRIL DOMB | ||
| * [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.129.3194&rep=rep1&type=pdf|Renormalization group theory: Its basis and formulation in statistical physics]] Michael E. Fisher | * [[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.129.3194&rep=rep1&type=pdf|Renormalization group theory: Its basis and formulation in statistical physics]] Michael E. Fisher | ||
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| + | <tabbox Roadmaps> | ||
| + | |||
| + | Here's a plan of how to understand the renormalization group effectively and quickly: | ||
| + | |||
| + | - First, have a look at http://philosophy.wisc.edu/forster/Percolation.pdf | ||
| + | - Then read http://jakobschwichtenberg.com/renormalization-group-flow/ | ||
| + | - Then, the best complete introduction can be found in Critical point phenomena: universal physics at large length scales by Bruce, A.; Wallace, D. published in the book The new physics, edited by P. Davies | ||
| + | - Afterwards read https://www.andrew.cmu.edu/user/kk3n/found-phys-emerge.pdf which explains lucidly many of the most important "advanced" concepts. | ||
| + | - See also "[[https://www.physics.ohio-state.edu/~ntg/8805/refs/weinberg_rg_good_thing.pdf|Why the Renormalization Group Is a Good Thing]]" by S. Weinberg | ||
| + | - [[https://inspirehep.net/record/109631|Critical Phenomena for Field Theorists]] by Steven Weinberg | ||
| + | - Also the video course: [[https://www.complexityexplorer.org/tutorials/67-introduction-to-renormalization/segments/5681|Introduction to Renormalization]] by Simon DeDeo is highly recommended to understand how the renormalization group can be used in other fields than physics. | ||
| + | - http://www.damtp.cam.ac.uk/user/tong/sft.html | ||
| + | - [[https://arxiv.org/abs/hep-th/0212049|A hint of renormalization]] by B. Delamotte | ||
| </tabbox> | </tabbox> | ||
| {{tag>theories:quantum_theory:quantum_field_theory}} | {{tag>theories:quantum_theory:quantum_field_theory}} | ||
advanced_tools/renormalization_group.txt · Last modified: 2018/05/05 12:46 by jakobadmin
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