格子規範理論簡介(二):費米子

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)

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.

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