How to Integrate an Expression with Levi-Civita Tensor in Mathematica?

[handy]

Hello.

This is more a Mathematica question really, but here it goes anyway.

As a consequence of some calculations on high energy physics, I need to integrate an expression that involves a Levi-Civita tensor contracted with four FourVectors (I'm using the FeynCalc package). I'm guessing the solution has something to do with doing the replacement Eps->Signature. The problem is I can only see the LC tensor as Eps when I use //StandardForm, but when I do so, the whole expression is inclosed in a Form Box so that I can't use it in subsequent calculations.

Any suggestions on how to do this?

Thanks for your time.

 

[Jhero]

Hello,

Thank you for reaching out with your question. I understand the importance of accurate and efficient calculations in high energy physics. I am not an expert in Mathematica, but I do have some suggestions that may help you with your integration problem.

Firstly, have you tried using the "TensorReduce" function in Mathematica? This function is specifically designed for simplifying expressions involving tensors, such as the Levi-Civita tensor. It may be able to help you with your integration.

Another possible solution could be to use the "Collect" function to group terms in your expression by their Levi-Civita tensor coefficient. This may make it easier to manipulate and integrate the expression.

Lastly, if you are still having trouble, you may want to reach out to the developers of the FeynCalc package for assistance. They may have more insight into how to properly use the package for your specific calculation.

I hope these suggestions are helpful to you. Good luck with your integration and your high energy physics research.