高能物理與凝聚態理論
High Energy Physics Meets Condensed Matter Theory
| 節 | 週三 |
|---|---|
6 14:20–15:10 | 高能物理與凝聚態理論 SC157（光復） 2 節連堂 |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
What do solid state and high energy physics have in common? It turns out that even though solid-state physics studies how different materials behave and forms our basic understanding of all electrical applications, including semiconductors, it shares - maybe surprisingly - many concepts with high-energy physics, which is the study of the origin of the universe and the most fundamental laws of nature. In this seminar course, EP solid state and IoP high energy physics join forces to explore how we can learn from each other. This year our main topic of interest is the study of: The renormalisation group and renormalisation group methods RG and RG methods are perhaps some of the most consequential new physics methods of the second half of the 20th century. Started by Kenneth Wilson (Nobelprize 1982), he wanted to understand comprehensive theory of scaling and he formulated a consistent framework to discuss topics from the ultraviolet divergencies of quantum field theory and asymptotic freedom to the infrared asymptotics of condensed matter fields, including so diverse topics as non-equilibrium dynamics and stochastic processes, coarse-graining in climate models, hierarchy of time scales, and agent behavior in financial markets, or inflationary cosmology and the formation of large-scale structures in the universe. At the heart of modern theoretical physics lies the challenge of connecting different scales of reality; the Renormalization Group provides the essential theoretical underpinning for navigating this complex landscape. During the course we will have a combination of lectures, discussions and presentations to uncover the bigger-picture physics processes going on behind the scenes in both fields. By working together, we will learn how to address long-standing problems in both domains and perhaps finally solve them. On our journey we will encounter topics in quantum field theory, statistical physics and mathematics. Topics that we want to discuss are: - Criticality, scaling and beta function - Kondo problem in condensed matter physics - Operator product expansion in particle physics - Stochastic theory of turbulence (if possible)
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100% presentation and homework
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction and discussion of course format 2026-02-25(三) |
| 第 2 週 | Primer on criticality, scaling and the beta function 2026-03-04(三) |
| 第 3 週 | Scalar theory and loop expansions 2026-03-11(三) |
| 第 4 週 | Epsilon expansion and critical exponents 2026-03-18(三) |
| 第 5 週 | Epsilon expansion and critical exponents 2026-03-25(三) |
| 第 6 週 | Renormalisation group flow 2026-04-01(三) |
| 第 7 週 | The space of all theories and fixed points 2026-04-08(三) |
| 第 8 週 | Beta functions and running couplings 2026-04-15(三) |
| 第 9 週 | Beta function, running coupling and continuum limit of lattice theories 2026-04-22(三) |
| 第 10 週 | The Kondo problem 2026-04-29(三) |
| 第 11 週 | Asymptotic freedom 2026-05-06(三) |
| 第 12 週 | Real-space RG 2026-05-13(三) |
| 第 13 週 | Functional Renormalisation Group 2026-05-20(三) |
| 第 14 週 | Functional Renormalisation Group 2026-05-27(三) |
| 第 15 週 | Functional Renormalisation Group 2026-06-03(三) |
| 第 16 週 | Stochastic theory of turbulence 2026-06-10(三) |
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- 地點
- SC457
- 時間
- T10
- 聯絡方式
- afrancis@nycu.edu.tw