Path Integrals in Wolfram Mathematica

[Mitya]

Hello everyone ! I am new to this site so I 'd better say hello to you all !

I am finishing my BR in physics and part of this ending is to deliver a thesis .

Long story short I must compute path-integrals in SU(2) and SU(3) pure yang-mills fields . Problem is that i was never very good with mathematica or computers in general , whilst i had excellent marks in my lessons (i think not one of them demanded using a computer except from computational physics and our professor back then didnt demand pure programming but ony pseudo) .

Anyway I would be hugely thankful , if someone would guide me to what I should see or read , to be able to compute some path integrals via the saddle point method .

Thank you so much .

 

[vanhees71]

Why do you want to use Mathematica for that?

 

[Demystifier]

Anyway I would be hugely thankful , if someone would guide me to what I should see or read , to be able to compute some path integrals via the saddle point method .

The saddle point method is an analytical (not a numerical) method, so I'm not sure that you really need a computer for that.

 

[Mitya]

Hello thanks for the answers !

My mentor advised me to use Mathematica to proceed , as the integral is much complicated . I use non linear plane waves as solutions of the EoMs and the gauge fields especially is SU3 are too complicated for me to integrate them yet , i think .

I surely trust him , he must have a reason to tell me to do so .

Thanks !