Understanding Counter Term Renormalization in Quantum Field Theory

Click For Summary

Discussion Overview

The discussion revolves around counter term renormalization in quantum field theory (QFT), specifically addressing the elimination of infinities in loop calculations. Participants are exploring the relationship between mass counter terms and their derivatives in one loop diagrams, as well as referencing relevant literature for further understanding.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the equivalence of inserting mass counter terms in one loop diagrams and the derivative of one loop diagrams multiplied by the mass counter term.
  • Another participant suggests reviewing their QFT manuscript, highlighting Chapter 5 on perturbative renormalization theory and Section 5.11 on the renormalization group for insights on different renormalization schemes.
  • Some participants recommend Mccomb's textbook as a resource for beginners in QFT.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants are sharing resources and seeking clarification without resolving the initial query about the equivalence of mass counter terms and their derivatives.

Contextual Notes

Participants reference specific equations and sections from literature, indicating a reliance on external definitions and frameworks that may not be universally agreed upon.

mandy96
Messages
3
Reaction score
0
TL;DR
Currently, I am reading about counter term renormalization used to eliminate the infinities in the loop calculations involved in QFT calculations. I found somewhere that the insertion of mass counter terms in one loop diagrams is equivalent to the derivative of one loop diagram multiplied with mass counter term. I am not getting this point.. If anybody can help me with that it would be very helpful.. Thanks..
For reference : arXiv:hep-ph/9406431 equation no. (3.6 ) in this..
Currently, I am reading about counter term renormalization used to eliminate the infinities in the loop calculations involved in QFT calculations. I found somewhere that the insertion of mass counter terms in one loop diagrams is equivalent to the derivative of one loop diagram multiplied with mass counter term. I am not getting this point.. If anybody can help me with that it would be very helpful.. Thanks..
For reference : arXiv:hep-ph/9406431 equation no. (3.6 ) in this..
 

Attachments

Physics news on Phys.org
Have a look at my QFT manuscript:

https://itp.uni-frankfurt.de/~hees/publ/lect.pdf

In Chpt. 5 you find perturbative renormalization theory. The discussion of different renormalization schemes and how the derivatives wrt. mass to define the counter terms come into the game is in Sect. 5.11 about the renormalization group.
 
  • Like
Likes   Reactions: mandy96 and atyy
vanhees71 said:
Have a look at my QFT manuscript:

https://itp.uni-frankfurt.de/~hees/publ/lect.pdf

In Chpt. 5 you find perturbative renormalization theory. The discussion of different renormalization schemes and how the derivatives wrt. mass to define the counter terms come into the game is in Sect. 5.11 about the renormalization group.
Thanks... I will surely take a look...
 

Similar threads

Graduate Renormalization with hard cutoff of a loop diagram with single vertex
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Scalar decay to one-loop in Yukawa interaction
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Is renormalization the ideal solution?
  • · Replies 57 ·
2
Replies
57
Views
7K
Graduate QFT: Understanding Counter-Terms for Renormalization
  • · Replies 6 ·
Replies
6
Views
4K
Graduate Renormalization (Electron self energy)
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Relationship between Wilson's RG and the Callan-Symanzik Equation
  • · Replies 2 ·
Replies
2
Views
2K
Graduate On the renormalization group flow
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad Young physicist in seek of guidance
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad QED replacing photon field with current in 3-point function
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Quantum Field theory vs. many-body Quantum Mechanics
  • · Replies 36 ·
2
Replies
36
Views
6K