Spring Semester 2020 [PHY 905]: PQCD

Perturbative Quantum Chromodynamics

Main instructor: Andreas von Manteuffel
With special lectures by: Joey Huston

The course aims at providing the theoretical background and discussing the calculational tools to perform next-to-leading order calculations in Perturbative Quantum Chromodynamics. The course will also lay the foundation to compute higher order radiative corrections and make the connection to the state-of-the-art of the field.

Useful prerequisites for this course would be an introductory course in Quantum Field Theory and an introductory course on the Standard Model, but the course will provide a review of the required concepts.

The course will address questions like:

  • How to formulate a non-abelian quantum field theory ?
  • What is a Lie group, what is spin ?
  • How do I obtain Feynman rules from a Lagrangian ?
  • Is there an alternative to classical Feynman rules ?
  • How do UV divergences arise in perturbation theory and what should I do with them ?
  • What is a running coupling ?
  • What's the issue with gamma5 at the quantum level ?
  • How do IR divergences arise in perturbation theory and what should I do with them ?
  • How to connect the partonic with the hadron cross section ?
  • How do I calculate a next-to-leading order partonic cross section in practice ?
  • What changes beyond the one-loop level ?
More technically, the preliminary list of topics is (with a focus on practical applications):
  • Path integral for QCD
  • Lie groups and their representations
  • Derivation of Feynman rules
  • Spinor-helicity methods
  • Dimensional regularization
  • Evaluation of Loop integrals
  • Integral reduction
  • UV renormalization
  • The perturbative renormalization group
  • Axial anomaly
  • IR subtractions
  • Parton distribution functions in practice
  • Next-to-leading order cross sections
  • Multiloop techniques
We will use material from the following text books:
  • John Campbell, Joey Huston, and Frank Krauss: "The Black Book of Quantum Chromodynamics"
  • Michael Peskin and Daniel Schroeder: "An Introduction to Quantum Field Theory"

I received a request to reschedule our weekly meetings for the course. Whether you are already enrolled or just considering to attend this course, please write me an email to request a link to a Doodle poll to let me know about your schedule. It would help me to better align the course with your needs and interests if you also indicate your background and specific topics you would be interested in.

Previous Courses at Michigan State University

  • FS 2019 [PHY 183] Physics for Scientists and Engineers
  • SS 2019 [PHY 841] Classical Electrodynamics (graduate level)
  • SS 2018 [PHY 183] Physics for Scientists and Engineers
  • FS 2017 [PHY 183] Physics for Scientists and Engineers
  • SS 2017 [PHY 183] Physics for Scientists and Engineers P-cubed