Maths Needed for Understanding Gauge Theory & Standard Model

[Himanshu]

What kind of mathematics do I need to learn in order to understand Gauge Theory and the Standard Model.

 

[mjsd]

group theory (Lie groups in particular), a bit of representation theory, a bit on calculus of variation, to complex analysis and contour integration (from field theory)

 

[Himanshu]

Can you tell that in general which discipline is needed for which part of the theory so that I can have a more flexible approach. For example I've heard that 'strong interaction' can be explained with the help of Beta Function.

 

[pam]

You need a broad math-physics background. You can't target the math.

 

[mjsd]

depending on what kind of research you do, you pretty much need everything that you have learned in the (under)graduate courses: from solving partial differential equations, linear analysis, topology, algebra, asymptotics, integral transforms, group theory, real and complex analysis, statistical mechanics, vector analysis...etc.