#
Physics 690/482-02

Particle Physics and Gravity in Extra Dimensions.

Class schedule: MWF 9-10am, Small Hall, Room 238

Office hours: By arrangement or any time instructor is in office
Instructor - Josh Erlich

Small Hall, Room 220

Phone: 757-221-3763

Email: erlich@physics.wm.edu

__Topics to be explored:__

####

- What is a dimension?

- Physics of compact extra dimensions:

- Kaluza-Klein modes and the effective lower-dimensional theory

- Electromagnetism from gravity

- Physics of braneworlds:

- Large Extra Dimensions

- Warped Extra Dimensions:

- Localized gravity and decoupling of Kaluza-Klein modes
- Relation to supersymmetric quantum mechanics
- Cosmology
- Orbifolds and boundary conditions
- Gravitational propagator and brane bending
- The radion and geometric stability
- The Goldberger-Wise mechanism

- Applications to particle physics and gravity

- Experimental and observational constraints on extra dimensions

- Deconstructed extra dimensions,
*i.e.* the world on a lattice

- String theory and the AdS/CFT correspondence

__What you should be familiar with prior to this course:__

- Quantum mechanics, complete sets of orthonormal states
- Lagrangian mechanics
- Special relativity
- Maxwell's equations

__Course requirements:__

- Problem sets
- Final project to be determined

__Reading material:__

Robert Wald's textbook, __General Relativity__, would be a useful
resource for some of the problem sets, but is not required. We will sometimes
refer to papers and reviews available online.

__Lecture notes (for first half of the course):__

A brief history of
extra dimensions

Geometry I - Modified Feb. 4, 2005

Geometry II

Scalar fields in
extra dimensions

Scalar fields in
compact extra dimensions

Vector fields in
extra dimensions

Massive electrodynamics
in compact extra dimensions

__Online references:__

M. Duff, *Kaluza-Klein Theory in Perspective*,
hep-ph/9410046

C. Csaki, *TASI Lectures on Extra Dimensions and Branes*,
hep-ph/0404096

G. Gabadadze, *ICTP Lectures on Large Extra Dimensions*,
hep-ph/0308112

C. Csaki, et. al.,
*Universal aspects of gravity localized on thick branes*,
hep-th/0001033

__Problem sets:__

Problem sets will generally be due on Fridays.
Problem Set 1 (ps1.ps,
ps1.pdf), due
Friday, January 28 ---
Solutions.

Problem Set 2 (ps2.ps,
ps2.pdf), due
Friday, February 4 ---
Solutions.

Problem Set 3
(ps3.ps,
ps3.pdf), due
Friday, February 11 ---
Solutions.

Problem Set 4 (ps4.ps,
ps4.pdf), due
Friday, February 18 -- postponed to Monday, February 21
---
Solutions.

Problem Set 5 (ps5.ps,
ps5.pdf), due
Friday, February 25 -- postponed to Monday, February 28
---
Solutions.

Problem Set 6 (ps6.ps,
ps6.pdf), due
Friday, March 4 ---
Solutions.

Problem Set 7 (ps7.ps,
ps7.pdf), due
Friday, March 25 ---
Solutions.

Problem Set 8 (ps8.ps,
ps8.pdf), due
Friday, April 1 ---
Solutions.

Problem Set 9 (ps9.ps,
ps9.pdf), due
Friday, April 8 ---
Solutions.

Problem Set 10 (ps10.ps,
ps10.pdf), due
Friday, April 15 ---
Solutions.

Problem Set 11 (ps11.ps,
ps11.pdf), due
Friday, April 29 ---
Solutions.

__Final Project:__

Due Monday, April 25.
The final project involves researching a topic related to extra dimensions
and preaparing an oral or written presentation. Details are
available here.