Why Use T3 & T8 Generators for Defining Flavor?

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In summary, the conversation discusses the use of t3 and t8 generators to define flavors in sampling, and the question of why specifically these two SU(3) generators are used for defining flavors. The answer provided is that the up and down quarks are better symmetry partners, and the inclusion of SU(2) < SU(3) < SU(4) <... is explicit in this choice of generators.
  • #1
preet0283
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in sampling about the flavor u,d,s ...we use the t3, t8 generators amd plot all the possible combinations of their eigen values ...and then define u ,d , s...
i want 2 ask that why specifically these 2 SU(3) generators are used t o
define flavors?
I have vague answers 2 this question but m not satisfied with those ...
please help me !
 
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  • #2
You posed a bit of a vague question, you might want to reformulate it.

But I think the answer you are looking for is that that the up and down quark are much better symmetry partners (to a great approximation they are eigenstates of isospin symmetry, which the mass of the strange quark spontaneously breaks).
 
  • #3
preet0283 said:
in sampling about the flavor u,d,s ...we use the t3, t8 generators amd plot all the possible combinations of their eigen values ...and then define u ,d , s...
i want 2 ask that why specifically these 2 SU(3) generators are used t o
define flavors?
I have vague answers 2 this question but m not satisfied with those ...
please help me !

Why the "..."? For SU(3) flavour you can define u,d,s, and nothing more. If you want to build u,d,s,c you need SU(4) and so on. If you only want to use u,d you are happy with SU(2).

It seems sensible to choose generators (mesons) in a way that the inclusion SU(2) < SU(3) < SU(4) <... is explicit, but I am not sure if practicioners can use this rationale.
 

1. Why are T3 & T8 generators commonly used for defining flavor?

T3 & T8 generators are commonly used for defining flavor because they produce a wide range of compounds that contribute to the overall flavor profile of a food or beverage. These compounds include aldehydes, ketones, esters, and other volatile organic compounds that are responsible for the characteristic aromas and tastes we associate with different foods.

2. How do T3 & T8 generators work?

T3 & T8 generators work by heating a sample of food or beverage to a high temperature, causing the compounds within it to vaporize. The vapor is then passed through a series of tubes and traps, where it is separated into different components based on their boiling points. This allows for the identification and quantification of specific compounds that contribute to flavor.

3. What are the benefits of using T3 & T8 generators for flavor analysis?

One of the main benefits of using T3 & T8 generators for flavor analysis is their ability to produce a wide range of compounds, allowing for a more comprehensive understanding of a food or beverage's flavor. They also provide high sensitivity and accuracy in detecting and quantifying these compounds, making them a valuable tool for flavor research and development.

4. Are there any limitations to using T3 & T8 generators for flavor analysis?

While T3 & T8 generators are a powerful tool for flavor analysis, they do have some limitations. For example, they may not be suitable for analyzing complex mixtures of compounds, as some compounds may be lost or masked during the vaporization process. Additionally, the high temperatures used in the process may cause some compounds to break down, affecting the accuracy of the results.

5. How are the results from T3 & T8 generators used in the food industry?

The results from T3 & T8 generators are used in a variety of ways in the food industry. They can be used to identify key flavor compounds in a product, compare the flavor profiles of different products, and even help in the development of new products by understanding how different ingredients and processing methods affect flavor. This information is crucial for ensuring consistent and desirable flavor in food and beverages.

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