Large N Expansion: Getting Started

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Discussion Overview

The discussion centers around the "large N expansion" method in SU(N) gauge theories, with participants seeking resources to gain a foundational understanding of this approach. The focus is on identifying accessible materials for those not yet familiar with the topic, particularly in the context of quantum field theory.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant expresses a need for a working knowledge of the large N expansion method, noting difficulty in finding suitable resources beyond expert-level research papers.
  • Another participant suggests that Zee's "QFT in a Nutshell" provides a brief introduction to the concept.
  • A different participant recommends notes by Manohar, highlighting that they cover both vector and matrix large N before delving into more specific QCD physics.
  • The initial poster acknowledges familiarity with Zee's work but finds it too brief and expresses intent to explore Manohar's notes instead.

Areas of Agreement / Disagreement

Participants generally agree on the usefulness of the suggested resources, but there is no consensus on a single best starting point for understanding the large N expansion.

metamathphys
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Hello.

Apparently for SU(N) gauge theories there is a perturvative approach call "large N expansion". I need a working knowledge of this method but I can not find it in any textbook only in research papers that are rather for the expert. Someone has any suggestion where should I get started?
Can it be found in Weinberg's?


Thank you in advance
 
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Zee, QFT in a Nutshell, gives a short (3 pages) introduction to the idea.
 
I always liked some notes by Manohar http://arxiv.org/abs/hep-ph/9802419. The first several sections are generic, discussing both vector and matrix large N, while the later sections get into more detailed QCD physics.
 
Thank you very much. I already knew about Zee's but is too short I will give now a try to Manohar.
 

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