Quantum Fields on a Lattice: Theory and Applications
It is a course on quantum field theory on a lattice with focus on applications in a wide range of problems in particle and condensed matter physics.
Lecturer
Date
18th September, 2025 ~ 22nd January, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 10:40 - 12:15 | Shuangqing-B719 | ZOOM 11 | 435 529 7909 | BIMSA |
| Thursday | 13:30 - 15:05 | Shuangqing-B719 | ZOOM 11 | 435 529 7909 | BIMSA |
Prerequisite
Basic knowledge of quantum mechanics
Syllabus
The major themes of the course include the following:
1) Introduction to Quantum Field Theory: This section introduces the quantization of fields through the path integral approach and explores the connection between quantum field theory and statistical physics.
2) Lattice Discretization of Quantum Field Theory: Building on Wilson's universality principle, we will investigate the discretization of space-time and the calculation of the path integral on a lattice. We will formulate the actions of scalar and gauge field theories within this discrete framework and analyze methods to compute key observable quantities from these theories.
3) Applications of Lattice Quantum Field Theory: In this portion of the course, we will explore the modeling of various strongly correlated quantum systems using lattice quantum field theory. Specific topics will include effects observed in superfluids and superconductors, low-dimensional quantum systems, anomalous boundary effects, and the Casimir effect.
4) Modern Techniques in Lattice Simulations and Data Analysis: In the final section of the course, we will review contemporary methods for lattice simulations and data analysis, highlighting the use of machine learning and quantum computers in these processes.
1) Introduction to Quantum Field Theory: This section introduces the quantization of fields through the path integral approach and explores the connection between quantum field theory and statistical physics.
2) Lattice Discretization of Quantum Field Theory: Building on Wilson's universality principle, we will investigate the discretization of space-time and the calculation of the path integral on a lattice. We will formulate the actions of scalar and gauge field theories within this discrete framework and analyze methods to compute key observable quantities from these theories.
3) Applications of Lattice Quantum Field Theory: In this portion of the course, we will explore the modeling of various strongly correlated quantum systems using lattice quantum field theory. Specific topics will include effects observed in superfluids and superconductors, low-dimensional quantum systems, anomalous boundary effects, and the Casimir effect.
4) Modern Techniques in Lattice Simulations and Data Analysis: In the final section of the course, we will review contemporary methods for lattice simulations and data analysis, highlighting the use of machine learning and quantum computers in these processes.
Video Public
Yes
Notes Public
Yes
Language
English