Questions tagged [field-theory]

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Solving PDEs In Tensor Form

I have a set of field equations (PDEs) expressed tensor form that I derived using xAct and xTensor. Is there any function that would allow me to put the full tensor form of the field equations as an ...
133 views

How to fix these warnings from an NDSolve code?

The following code works but it give several warnings that makes me feel nervous about the reliability and accuracy of the output: NDSolve: Warning: estimated initial error on the specified spatial ...
• 4,103
126 views

Why is there an error about division by 0?

I'm converting all of my old Mathematica 7.0 codes to my new Mathematica 13.2, and I'm struggling with some issues I didn't encounter with version 7.0. The following code is giving me a headache, ...
• 4,103
159 views

How to know which is value for field extension

I can convert $\sqrt{5}$ into a AlgebraicNumber: ToNumberField[Sqrt[5]] ...
• 26.9k
235 views

Field axioms in Mathematica

I don't understand the result of AxiomaticTheory["FieldAxioms", "Axioms"] ...
• 27.4k
1 vote
104 views

How can I do the same thing with mathematica? [duplicate]

I would like to do the same thing that we can see from the picture but with Mathematica. The problem is that I am only an high-school student which try to do this. It would be appreciated if it could ...
• 27
202 views

395 views

How to define tensors similar to Riemann tensor in xAct xTensor xTras

I'm working on a project where we deal with objects very similar to Riemann tensor. In fact they are Christoffel symbols for higher spins. I'm using xTras for modeling problems in wolfram mathematica. ...
1k views

• 87
461 views

NDSolve: method of lines: unexpected error: insufficient boundary conditions

As a test of my ability to master the Method of Lines I tried to NDSolve the PDE's system \partial_t \varphi = \varpi\qquad\partial_t\varpi=\frac{1}{r}\partial^...
• 103
101 views

Need a package to compute constraint structure

I want to compute constraint structure of some field theory and some gravitational field theory. By constraint structure I mean what is explained in the "Lectures on Quantum Mechanics" by P. A. M. ...
I've symmetric tensor $h(z)$ with rank $s$. Instead of writing symmetric tensor with its components I use the following notation \$h^{(s)}(z;a) = \sum_{\mu_i}(\prod_{i=1}^{s}a^{\mu_i})h^{(s)}_{\mu_1\...