- #31
- 22,817
- 14,874
Also, just a notational issue: The notation should be ##F_{\mu\nu}##, not ##F_{\mu,\nu}##. It is quite common to use ##,\mu## as additional subscripts instead of writing out ##\partial_\mu## in front.
A Verifying the Relation in Yang-Mills Theory with a Scalar Field
- Thread starter Othin
- Start date
Click For Summary
The discussion focuses on verifying the relation in Yang-Mills theory involving a scalar field and the covariant derivative. The main equation under scrutiny is [Dμ, Dν]Φ = FμνΦ, where the scalar field Φ is in the Lie algebra. Participants explore the implications of using the adjoint representation and the notation for the covariant derivative, leading to confusion about the terms involved in the calculations. The conversation emphasizes the importance of clear notation and the distinction between scalar fields and their representations in the context of Lie algebra. Ultimately, the participants seek clarity on how the derived expressions relate to the field strength tensor Fμν and the proper interpretation of the involved terms.
Similar threads
- · Replies 1 ·
- · Replies 7 ·
- · Replies 3 ·
- · Replies 3 ·
- · Replies 1 ·
- · Replies 38 ·
- · Replies 7 ·
- · Replies 2 ·
- · Replies 9 ·