renormalize's latest activity

I don't know about Manin, but complex gauge theory has seen use in pure math, e.g. in the Hitchin fibration (also known as the theory of...

I have a recollection from studying Yang-Mills theory (decades ago!) that the gauge-field for a complex, non-compact group is plagued...

Or, assuming the roots ##r_k## of your cubic are all real, you can perhaps simply look up your integral in Gradshteyn and Ryzhik, Table...

Which brings me back to what was my original problem, which is to work out how to get my cubic expression...

Yes, planar-scanned lasers are often used for special-effects in movies. An example is this shot from the opening of Aliens, where a...

Why not? "Sealion" could just be a regular seal with a charge on it.

Just keep in mind the PF site rule (https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/): Philosophical...

Good observation! You're absolutely correct, up to a sign: depending on the specific values of the roots ##r_2,r_3\,##, the two ratios...

There are doubtless entire monographs devoted to elliptic integrals, but one concise reference is: Handbook of Mathematical Functions...

Looks like the younger version of the star child from 2001!

It is finished for submission, and I put it online to get some early feedback before actually submitting it (in a few weeks). So the...

Is your paper submitted for, or in the process of, publication?

Can you please reformat your post to make it more readable? You can use double hash-marks (##) before and after your inline LaTeX...

Mathematica can evaluate the indefinite integral on the right side: Here, ##\text{EllipticF}\left[\phi,m\right]## is the elliptic...

The bible for wind tunnel design: https://www.wiley.com/en-us/Low-Speed+Wind+Tunnel+Testing,+3rd+Edition-p-9780471557746 An extremely...