Massive and massless quark renormalization in QCD

In summary, QCD stands for Quantum Chromodynamics and is a theory that describes the strong nuclear force and its interaction with quarks and gluons. Quark renormalization is a process in QCD that corrects for the effects of the strong force on the properties of quarks. This is important because the strong force can significantly affect quark behavior. There are two types of quark renormalization: massive, for quarks with non-zero mass, and massless, for quarks with zero mass. Quark renormalization is calculated using perturbation theory, which involves breaking down the problem into simpler parts. This allows for more accurate calculations and predictions in QCD.
  • #1
wing of jupiter
6
0
In modify minimal subtract sheme,using dimension regulation, I calculate the
the renormalization constant of massive quark and massless quark,get the same result.But in some papers,they are different.

Is there a review or any book on MS renormalization,that giving all the self energy and vetex correction explicitely? When read paper we can refere to it.
 
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  • #2
Are you surprised that nobody answers to your post ?

Please, be more specific. What do you mean by "they are different". Provides us with some samples of your work, so that we can discuss your problem.

regards
marlon
 
  • #3


The topic of quark renormalization in QCD is a complex and important area of research in theoretical physics. The use of the minimal subtraction (MS) scheme and dimension regularization are common techniques for calculating renormalization constants in QCD. In this scheme, the renormalization constants for massive and massless quarks are expected to be the same, as they are both related to the same underlying theory.

However, it is not uncommon to find discrepancies in the results obtained for the renormalization constants in different papers. This can be due to various factors, such as different choices of renormalization schemes, regularization schemes, or the inclusion of higher order corrections.

To address these discrepancies and provide a comprehensive understanding of MS renormalization, it would be helpful to have a review or book that explicitly outlines all the self-energy and vertex corrections. This would serve as a useful reference for researchers in the field, allowing them to compare and cross-check their results with the established calculations.

In conclusion, the topic of quark renormalization in QCD is a complex and ongoing area of research, and having a comprehensive review or book on MS renormalization would greatly benefit the community in understanding and accurately calculating these important quantities.
 

1. What is QCD?

QCD stands for Quantum Chromodynamics, which is a theory that describes the strong nuclear force and how it interacts with quarks and gluons.

2. What is quark renormalization in QCD?

Quark renormalization is a process in QCD where the properties of quarks, such as their mass and charge, are corrected for the effects of the strong nuclear force. This is necessary because the strong force is so strong that it can significantly affect the properties of quarks, making it difficult to accurately describe their behavior.

3. What is the difference between massive and massless quark renormalization?

Massive quark renormalization refers to the process of correcting the properties of quarks that have a non-zero mass, while massless quark renormalization deals with the properties of quarks that are considered to be massless, such as the up and down quarks.

4. Why is quark renormalization important in QCD?

Quark renormalization is important in QCD because it allows for more accurate calculations and predictions in the theory. Without taking into account the effects of the strong nuclear force, the behavior of quarks would be poorly understood and the predictions of QCD would not match with experimental data.

5. How is quark renormalization calculated in QCD?

Quark renormalization is calculated using a technique called perturbation theory, which involves breaking down a complex problem into simpler parts that are easier to solve. In QCD, this involves using a series of mathematical equations to correct for the effects of the strong force on quark properties.

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