- #1
rbwang1225
- 118
- 0
I don't know how (1.10) pops up and why the ##T^a##s satisfy the Lie algebra.
Is there any physical intuition?
Any comment would be very appreciated!
A global symmetry is a type of symmetry that applies to an entire system, rather than just a single element within the system. It is a transformation that leaves the system invariant, meaning it doesn't change the overall properties of the system.
Global symmetries play a crucial role in understanding the fundamental laws of nature. They are used to describe the conservation laws of various physical quantities, such as energy, momentum, and electric charge.
Global symmetries involve transformations that are the same at every point in space and time, while local symmetries involve transformations that vary depending on the location in space and time. Global symmetries are more fundamental and have a wider range of applications.
The mathematical framework for describing global symmetries is group theory. A group is a set of elements that can be combined together using a defined operation, such as multiplication or addition. The properties of a group can be used to analyze and understand the symmetries of a system.
The Standard Model is based on the principle of local gauge symmetries, which are a type of local symmetry. These symmetries are used to describe the interactions between particles and the fundamental forces of nature. Global symmetries also play a role in the Standard Model, particularly in explaining the conservation laws of various physical quantities.