W Boson Propagator in Unitary Gauge

In summary, the W Boson Propagator in Unitary Gauge is a mathematical concept used in particle physics to describe the behavior of the W Boson, a fundamental particle that carries the weak nuclear force. It is calculated using quantum field theory techniques and the Feynman rules, and the "Unitary Gauge" refers to a specific mathematical framework used in the calculation. This tool is significant in understanding the weak nuclear force and has applications in other fields such as cosmology and astrophysics.
  • #1
Safinaz
260
8
Hi there,

As in Ta-Pei Cheng and Li's book for example the W boson propagator is given by :

## \frac{-i}{k^2-M^2} [g_{\mu\nu}+ (\zeta-1) k_\mu k_\nu/(k^2 - \zeta M^2)] ##

At the unitary gauge ## \zeta = \infty ##, where the W propagator becomes :

## \frac{-i}{k^2-M^2} [g_{\mu\nu}- k_\mu k_\nu/ M^2 ] ##

It is not clear for me how when we set ## \zeta ## to ## \infty ##, we got the last formula in the unitary gauge ?

Bests.
 
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  • #2
You can divide numerator and denominator by ζ and then simply take the limit of both.
 

Related to W Boson Propagator in Unitary Gauge

1. What is the W Boson Propagator in Unitary Gauge?

The W Boson Propagator in Unitary Gauge is a mathematical concept used in particle physics to describe the behavior of the W Boson, a fundamental particle that carries the weak nuclear force.

2. How is the W Boson Propagator in Unitary Gauge calculated?

The W Boson Propagator in Unitary Gauge is calculated using quantum field theory techniques, specifically the Feynman rules. These rules allow for the calculation of probabilities of particle interactions and are essential in understanding the behavior of fundamental particles.

3. What does the "Unitary Gauge" part of the name refer to?

The Unitary Gauge is a specific mathematical framework used in the calculation of the W Boson Propagator. It is a gauge choice that simplifies the equations and makes them easier to work with.

4. What is the significance of the W Boson Propagator in Unitary Gauge?

The W Boson Propagator in Unitary Gauge is an important tool for understanding the weak nuclear force, one of the four fundamental forces of nature. It allows scientists to make predictions about the behavior of particles and their interactions, which can then be tested through experiments.

5. Are there any applications of the W Boson Propagator in Unitary Gauge outside of particle physics?

While the W Boson Propagator in Unitary Gauge is primarily used in particle physics, it also has applications in other fields such as cosmology and astrophysics. Understanding the behavior of fundamental particles is crucial in understanding the origins and evolution of the universe.

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