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0 votes
0 answers
45 views

Why are there no covariant particles?

Why is physics described by scalar, spinor, vector, and tensor bundles, but not convector bundles or tensors of other ranks? In tensor bundle notation, these are respectively $T_0^0, S, T_0^1, T_0^2$. ...
Cam White's user avatar
  • 577
1 vote
1 answer
103 views

Apparent analogies between statements from linear algebra and covariant tensor calculus

When using covariant tensors in relativity or particle physics, there are some statements that seem like analogues of statements known from linear algebra. For example, if we have a symmetric real-...
Joris's user avatar
  • 121
2 votes
1 answer
447 views

$SU(3)$ Tensor Methods in a Tetraquark

I am trying to understand the Georgi chapter of tensor methods in $SU(3)$ representations, and I don't know how to resolve the tensor product of 2 matrices in a 2 heavy quark + 2 light antiquark ...
Jackson's user avatar
  • 33
7 votes
1 answer
301 views

Toroid moments tensor decomposition

I am currently working on my bachelor's thesis on the anapole / toroidal moment and it seems that I am stuck with a tensor decomposition problem. I have actually never had a course about tensors, so ...
user46208's user avatar
  • 147
2 votes
1 answer
73 views

Testing covariance of an expression?

This is something I've been unsure of for a while but still don't quite get. How does one tell whether an expression (e.g. the Dirac equation) is covariant or not? I get it for a single tensor, but ...
Mithra's user avatar
  • 87