29::276 Special Topics in Quantum Mechanics: Introduction to the Renormalization Group Method 

Fall Semester 2009

Instructor: Prof. Yannick Meurice

Coordinates

Course Content

The Renormalization Group method is a major theoretical tool in particle and condensed matter physics. Roughly speaking, It consists in replacing a microscopic theory by a physically equivalent theory at a larger scale, putting a special emphasis on the fixed points of this procedure. The method is very useful to understand phase transitions and situations where an approximate conformal symmetry is present (i. e. no scale is singled out).

The ideas of the Renormalization Group (RG) and scale invariance have played a central role in physics over the last four decades. They are  associated with the emergence of key concepts such as universality, self-similarity, finite-size scaling, asymptotic freedom, coupling unification and triviality bounds.
RG methods allowed the numerical treatment of difficult problems in particle physics, many-body  and few-body physics.The RG provides a universal language  spoken by scientists working in very different areas.  The class will provide an elementary introduction to the basic RG concepts and discuss applications in statistical mechanics, condensed matter, particle physics and possibly other fields. The exact content will be adjusted in order to meet the needs of the students attending the class.

The course will have a  numerical component and include readings of some recent literature. 

Textbooks

Main textbook: J. Cardy, Scaling and Renormalization in Statistical Physics, (Cambridge Lecture Notes in Physics) . Additional illustrations will be chosen from A. Barabasi and E. Stanley, Fractal Concepts in Surface Growth.

Additional references.


Homework

Reading assignments and/or problems set will be provided in class.

Examinations and Final Grade

The final grade will be calculated in the following way: 50 points for the homework
and 50 percent for a final project.

Class Attendance

Attendance at lectures is highly recommended but not required. You are strongly encouraged to ask questions during the lectures. There are no ``stupid questions''.

DEPARTMENT OF PHYSICS & ASTRONOMY MAIN OFFICE


PROCEDURES FOR STUDENT COMPLAINTS

PLAGIARISM AND CHEATING

A student suspected of plagiarism or cheating must inform the student in writing as soon as possible after the incident has been observed or discovered.  Instructors who detect cheating or plagiarism may decide, in consultation with the departmental executive officer, to reduce the student's grade on the assignment or the course, even to assign an F. The instructor writes an account of the chronology of the plagiarism or cheating incident for the DEO (Associate Chair), who sends an endorsement of the written report of the case to the Associate Dean for Academic Programs, CLAS. A copy of the report will be sent to the student.

A detailed policy is printed in the Schedule of Courses and the College's Student Academic Handbook.

AMOUNT OF WORK EXPECTED

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