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Results tagged with brst
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user 31585
7
votes
1
answer
1k
views
Gupta-Bleuler Formalism
In the Gupta-Bleuler formalism we have a problem with two states (scalar photons and longitudinal photons), because here $\langle \vec{k}_a|\vec{k}_b\rangle $ is negative or zero. However, I thought t …
- 2,104
4
votes
1
answer
378
views
Yang-Mills Lagrangian invariant under BRST
In equation 16.47 in Peskin & Schroeder, it is claimed that $$ -\frac{1}{2}g^2f^{abc}f^{cde}\left(A_{\mu}\,^{b}c^{d}c^{e}+A_{\mu}\,^{d}c^{e}c^{b}+A_{\mu}\,^{e}c^{b}c^{d}\right) ~=~ 0 \tag{16.47}$$
us …
- 2,104
3
votes
1
answer
2k
views
Lagrangian depends on second derivative of field
In case of the gauge-fixed Faddeev-Popov Lagrangian:
$$ \mathcal{L}=-\frac{1}{4}F_{\mu\nu}\,^{a}F^{\mu\nu a}+\bar{\psi}\left(i\gamma^{\mu}D_{\mu}-m\right)\psi-\frac{\xi}{2}B^{a}B^{a}+B^{a}\partial^{\m …
- 2,104
9
votes
1
answer
2k
views
Noether Current when the Lagrangian depends on second derivative of the fields
I'm doing this to find the conserved Noether current (see this related question and this one which unfortunately had no answers yet) of the BRST transformation. …
- 2,104