| Allgemeine Angaben |
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| Critical Phenomena and Renormalisation Group | | |
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| Angaben zur Abhaltung |
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The lecture will give an introduction to the physics of critical phenomena and the Renormalization Group methods used to study them. These methods have applications in condensed matter physics as well as in high-energy physics. The following topics will be covered:
• Basics of phase transitions
• Mean field theory
• Landau theory and its breakdown
• Fluctuations and correlations and their importance for critical behavior
• Phenomenological scaling analysis
• Scaling and critical exponents
• Perturbative Renormalization Group
• epsilon-expansion
• Critical dimensions
• Introduction to non-perturbative Renormalization Group methods |
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| Quantum Mechanics 1+2, Thermodynamics and Statistical Mechanics. Some basic knowledge of Quantum Field Theory is welcome, but not required. |
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The students will learn how to classify critical phenomena and their phenomenological descriptions.
They will understand how simple mean-field descriptions can be applied to phase transitions, and be able to assess at which point such a description is no longer sufficient. They will understand the importance of long-range fluctuations and be able to appreciate the necessity of introducing the RG as a new calculational method to account for those.
Students will be able to perform a simple RG calculation, to analyze the fixed-point structure of a scalar theory, and to interpret the results in terms of physical phenomena. |
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class lecture
Lecture and occasional problem sets to actually apply the methods presented in the lecture and to gain some calculational skill. |
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| Für die Anmeldung zur Teilnahme müssen Sie sich in TUMonline als Studierende*r identifizieren. |
| Note: The course is primarily intended for Masters' degree students in their first year. Bachelor's degree students with an interest in the topic are also welcome, but should contact the instructor. |
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| Zusatzinformationen |
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| Nigel Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Frontiers in Physics, Volume 85). Addison-Wesley, 1992. |
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