**Instructor.** Michael Anderson, Math 4-110.

E-mail: anderson@math.sunysb.edu, Phone: 632-8269.

Lectures: Tu/Th: 1:00-2:20, in Physics P128.

**Office Hours.** W/F 1:30-3pm, and by appointment.

**Course Description.** This is a course on classical field theory. We will begin with classical
particle theory (Newtonian, Lagrangian, Hamiltonian mechanics), then move on to the classical fields:
scalar, vector, electromagnetism and gauge fields, sigma models. The field theory will be relativistic,
so we will also introduce special relativity. Time permitting, we may also discuss the rudiments of the
"last" classical field theory, general relativity, and/or "classical" fermionic fields and supersymmetry.

There are no specific texts that will be used for the class. There are many good texts on this
material, covering many different points of view and tastes. There is no single one that I find
clearly "the best".

The basic reference for the course is:

- P. Deligne and D. Freed, Classical Field Theory, in Vol I of "Quantum Fields and Strings: A course for Mathematicians".

This is available freely online, I think at the IAS (Institute for Advanced Study) website. However, a fair amount of the material in this text is too advanced and/or abstract (to my taste), so the lectures will sometimes stress other points of view.

Other suggestions:

- D. Freed, Classical Field Theory and Supersymmetry, in "IAS/Park City Math Series", Vol 11, 2001.

Also available online (somewhere) for free. This is similar to the reference above, but shorter, and so even more sketchy in details. - Theodore Frankel, The Geometry of Physics: An Introduction, Cambridge Univ. Press.

This is a nice text, covering a lot of interesting material, but at a somewhat more elementary level than that of this class. - V. Arnold, Mathematical Methods of Classical Mechanics, Springer Verlag

This is a classic text, and still good, but perhaps a bit out of date by now. - W. Rindler, Essential Relativity, Springer Verlag.

My favorite text for elementary aspects of special and general relativity. - Other good texts might be books by J. Marsden, (with T. Ratiu, A. Weinstein?), and also by Yvonne Choquet-Bruhat (and Cecille Morette-deWitt?). I've heard about these, but have not checked them out myself.
**Assignments.**Grades will be based on class participation and possibly some homework assignments.*Americans with Disability Act.*If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748. They will determine with you what accomodations are necessary and appropriate. All information and documentation is confidential.

Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disabled Student Services. For procedures and information, go the following website: http://www.ehs.sunysb.edu/fire/disabilities/asp, here