Lattice QCD: topological charge

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Discussion Overview

The discussion revolves around understanding concepts related to lattice quantum chromodynamics (QCD), specifically focusing on the topological charge and its associated methods. Participants seek resources to better grasp the theoretical background necessary for comprehending the paper's content.

Discussion Character

  • Exploratory, Conceptual clarification, Meta-discussion

Main Points Raised

  • One participant mentions reading a paper on lattice QCD that discusses an improved method for calculating the topological charge operator using rectangular Wilson loops.
  • The same participant expresses difficulty in understanding the paper due to a lack of prerequisite knowledge on topics such as topological charge, instantons, and axial anomalies.
  • Another participant suggests a book titled "Topological Solitons" by Manton and Sutcliffe as a potential resource, though they are uncertain about its relevance to QCD.
  • A third participant recommends "Lectures on Quantum Chromodynamics" by Smilga as a helpful resource.

Areas of Agreement / Disagreement

Participants do not reach a consensus on specific resources or their applicability to the topic, but multiple suggestions for further reading are provided.

Contextual Notes

The discussion highlights a lack of clarity regarding the connections between suggested resources and the specific concepts in lattice QCD, indicating potential gaps in understanding.

Who May Find This Useful

Readers interested in lattice QCD, topological charge, and related theoretical concepts may find the discussion and resource suggestions beneficial.

Bobhawke
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I am reading a paper right now on lattice QCD that presents a "method that improves the cooling method and constructs an improved topological charge operator based on the product of link variables forming rectangular Wilson loops."

Unfortunately I am understanding very little of it. It seems like I need some pre-requisite knowledge. The paper makes reference to things like: topological charge, instantons, axial anomalies, etc

I was wondering if someone could point to a resource which could help me understand these concepts
 
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A book I happen to now on the subject related to this is: Topological Solitons by Manton and Sutcliffe. But I don't know how it relates to QCD.
 
Thank you!
 

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