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Department of Physics
In many areas of Physics, such as High Energy Physics, Gravitation, and in Statistical and Condensed Matter Physics, the understanding of the essential physical phenomena requires the consideration of the collective effects of a large number of degrees of freedom. Quantum Field Theory is the tool as well as the language that has been developed to describe the physics of problems in such apparently dissimilar fields.
Physics 582 is the first half of a two-semester sequence of courses in Quantum Field Theory. The second half, Physics 583, will be taught in the Spring Semester, 2024. The aim of this sequence is to provide the basic tools of Field Theory to students (both theorists and experimentalists) with a wide range of interests in Physics. These ideas and tools will be used in subsequent and more specialized courses. As a prerequisite I will assume that the students have mastered the contents of the required courses Physics 580/581 sequence on graduate level Quantum Mechanics (or equivalent). Having successfully passed the graduate level sequence in Quantum Mechanics is a In Physics 582 we will study the basic conceptual and computational tools of quantum field theory. We will discuss the applications of these methods to several areas of Physics, such as High Energy and Statistical and Condensed Matter Physics, both in the Lectures and in the Problem Sets.
In Physics 583 we will discuss advanced topics including Gauge Theories, the Renormalization Group in Field Theory and in Statistical Physics, non-perturbative methods in QFT (solitons and instantons), elementary Conformal Field Theory and its applications to String Theory and Critical Phenomena, and QFT, Topological Quantum Field Theory. Below you will find a detailed Course Plan (or Syllabus) for Physics 582. It is divided in items and there you will find links to my class notes. I will post them as they become available.
Please find below the HW sets for Physics 582. Please notice the clearly shown deadlines. To turn in the pdf file of your work we will follow the following procedure. Upon clicking on this link you will access a website where you can upload your pdf file. To access this secure website you will need to enter your University of Illinois netid and password. Then you will see a menu with the list of homeworks for Physics 582 and you will choose which homework solution you wish to upload. After the homework is graded by the TA you will be able to access and download the graded work by using this same link.Homework Set No. 1 |

Last updated 9/22/2023