**Office: **M2042 Physics Research Bldg

**Office Hours: ** stop by anytime

**Course Meets: **Tuesdays, Thursdays 11:10 am - 12:30 pm, Denney Hall, room 0207.

**Grader:** Douglas Wertepny , PRB M2041

***** First Class Meets January 10, 2013 -- I am out of town on January 8, 2013 *****

***** There will be no class Thursday, January 31, 2013 -- I will be out of town *****

***** There will be no class Tuesday, April 16, 2013 -- I will be out of town *****

**Autumn Semester:**we will learn how to treat fields (not particles!), such as electric and magnetic fields from the E&M class, as quantum-mechnical objects (how to "quantize" them). We will study the most important language of quantum field theory (and arguably of all of modern physics) - the language of Feynman diagrams. We will use Feynman rules to calculate cross sections for some (lowest order in the coupling constant) scattering processes. Formal topics are:- Classical field theory
- Lorentz and Poincare groups and classification of fields
- Canonical quantization of free scalar, Dirac and electromagnetic fields
- Correlators in free field theory, Feynman propagator
- Interacting fields and Feynman diagrams
- Cross sections, S-matrix, and the LSZ reduction formula
- Quantum Electrodynamics (QED): cross section calculations for tree-level processes
**Spring Semester:**we will find out that the Feynman diagrams at the higher (loop) orders in the coupling often lead to bad infinities. We will learn how to regulate the infinities (make them finite) and how to do them away altogether using the process or renormalization. We will then learn how to quantize the fields using Feynman's functional integrals, which is a beatiful alternative to canonical quantization. After that we will cover non-Abelian gauge theories, which are the backbone of the Standard Model of Particle Physics, as they explain both the strong and the electroweak interactions. We will study the theory of strong interactions - quantum chromodynamics (QCD). In the process we will have another scare as we will discover another sick infinity, the so-called Landau pole, and will learn why Landau did not believe in field theories. We will see why Landau's worries were wrong for QCD, but probably right for QED. We will then explore some special topics in Quantum Field Theory, several of which are listed below. Topics will be:- Radiative corrections, dimensional and Pauli-Villars regularizations, Ward identity
- Renormalization group, renormalization of QED and scalar theories, running coupling constant
- Functional integration
- Non-Abelian gauge theories, Faddeev-Popov ghosts
- Quantum Chromodynamics (QCD): asymptotic freedom and Landau pole, e^+e^- annihilation, Deep Inelastic Scattering (DIS) and parton model
- Some special topics on demand: possibly quantum anomalies, instantons and other topological objects in field theory, DGLAP evolution, small-x physics and parton saturation, Electroweak theory, Higgs mechanism - the choice is up to you

- M. E. Peskin, D. V. Schroeder - An Introduction To Quantum Field Theory, Google Books

- L. H. Ryder - Quantum Field Theory, Google Books
- C. Itzykson and J.-B. Zuber - Quantum Field Theory, Google Books
- P. Ramond - Field theory: a modern primer, Google Books
- M.A. Srednicki - Quantum Field Theory, Google Books
- S. Weinberg - The Quantum Theory of Fields, Google Books volume 1, volume 2, volume 3
- G. Sterman - An Introduction to Quantum Field Theory, Google Books

- H. Georgi - Lie Algebras in Particle Physics, Google Books

- Quantum Electrodynamics (QED): Tree-Level Processes (continued from last semester)
- Regularization and Renormalization
- Lecture 33 (part 2)
- A note on spectral representation
- Lecture 34
- Lecture 35
- Lecture 36
- Lecture 37
- Lecture 38
- Lecture 39
- Addendum on QED Renormalization
- All of QED renormalization presented coherently in a single file
- Lecture 40
- Lecture 41
- Lecture 42
- Lecture 43
- A note on obtaining the beta-function for phi^4 theory using Callan-Symanzik equation

- Functional Integral Quantization
- Non-Abelian Gauge Theories

(Solutions are password protected, they are for the use of OSU students and faculty only: if you are an OSU student or a faculty member and are interested in accessing them please write to me.)

- HW 1 (due Tuesday, January 29) -- Solution 1
- HW 2 (due Thursday, February 7) -- Solution 2
- HW 3 (due Thursday, February 21 --> deadline changed to Thursday, February 28) -- Solution 3
- HW 4 (due Thursday, March 7) -- Solution 4
- HW 5 (due Tuesday, March 26) -- Solution 5
- HW 6 (due Tuesday, April 9) -- Solution 6
- HW 7 (due Thursday, April 25 --> deadline changed to noon on Monday, April 29) -- Solution 7

Yuri Kovchegov