格子規範理論簡介(二):費米子
Introduction to Lattice Gauge Theory (II): Fermions
| 節 | 週二 |
|---|---|
7 15:30–16:20 | 格子規範理論簡介(二):費米子 SC152（光復） 2 節連堂 |
8 16:30–17:20 |
* 根據陽明交大上課時間表所列
Lattice gauge theory (LGT) represents one of the most powerful and advanced formalisms in science to study the most fundamental dynamics of atomic and sub-atomic systems. It has applications that range from condensed matter to particle theory, from the study of phase transitions to quantum scattering. Some of the most important systems today are those that contain fermions as degrees of freedom. In this course we will learn the formalism to address systems with fermions and in particular gauge theories, such as quantum electrodynamics and quantum chromodynamics. These are the fundamental theories of electrons and quarks, respectively. From this we will see that a full result requires the numerical simulation of the system on a (super) computer. With this insight we will practice how to perform calculations on the computer and derive meaningful physics results that cannot be obtained any other way. Throughout emphasis is put on practical implementations. This course is the second part of a two-part series. However, because it is being offered for the first time we will spend a lot of time on introducing t he concepts of the first part. For this reason no prior knowledge of lattice gauge theory is required to participate in this course. Wanting to perform numerical calculations access to a laptop is required as well as some interest in writing Python programs.
Basic Python programming, Quantum mechanics Quantum field theory (optional) Statistical Physics (optional)
無備註
In this course we will actively develop Python programs to calculate some observables in Lattice Gauge Theory. Students will be asked to submit their developed programs through the year as homework projects.
100% homework projects.
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction and discussion of course format 2024-09-03(二) |
| 第 2 週 | Basics of data science: Concepts from statistics 2024-09-10(二) |
| 第 3 週 | Basics of data science: Resampling techniques 2024-09-17(二) |
| 第 4 週 | Introduction to pure gauge theory: Basic formalism 2024-09-24(二) |
| 第 5 週 | Introduction to pure gauge theory on a Lattice: Basic formalism 2024-10-01(二) |
| 第 6 週 | The gauge average and physic observables 2024-10-08(二) |
| 第 7 週 | Methods to generate ensembles without fermions 2024-10-15(二) |
| 第 8 週 | The problem with fermions 2024-10-22(二) |
| 第 9 週 | Wilson Fermions 2024-10-29(二) |
| 第 10 週 | Staggered Fermions 2024-11-05(二) |
| 第 11 週 | Fermions and chiral symmetry on a lattice 2024-11-12(二) |
| 第 12 週 | Methods to generate gauge ensembles with fermions 2024-11-19(二) |
| 第 13 週 | Hadrons in a world that is just a 2D surface. 2024-11-26(二) |
| 第 14 週 | Life in 2D: Observables in SU(3) theory 2024-12-03(二) |
| 第 15 週 | Sign problems in LGT 2024-12-10(二) |
| 第 16 週 | Sign problems in LGT 2024-12-17(二) |
Gattringer, Lang, "Quantum Chromodynamics on the Lattice: An Introductory Presentation" (2009) Lehner/gpt: "A Python toolkit for lattice field theory" (https://github.com/lehner/gpt)
- 地點
- SC456
- 時間
- T10
- 聯絡方式
- afrancis@nycu.edu.tw