Local BRST cohomology in gauge theories
Citations
2,935 citations
1,011 citations
949 citations
744 citations
Cites background or methods from "Local BRST cohomology in gauge theo..."
...The left hand sides of the (Euler-Lagrange) equations of motion of the full and the free theory and their total derivatives, ∂(μ)δL/δφ i and ∂(μ)δL /δφ, have been assumed to satisfy important regularity conditions described for instance in [47, 48] and spelled out in detail in the context of Yang-Mills theories in [5]....
[...]
...Using the cohomology of dH and of δ, one can prove [36, 5]:...
[...]
...The cohomological formulation of Noether’s first theorem and of the relation between reducibility parameters and conserved n − 2 forms via descent equations is reviewed [36, 5]....
[...]
...2 Section 3 The bijective correspondence between equivalence classes of reducibility parameters of gauge symmetries and conserved n− 2 forms [36, 5] is reviewed, independently of BRST cohomological arguments....
[...]
...The cohomology groups H k (δ|dH) can be shown [36, 5] to be isomorphic to the local BRST cohomological groups H(s|dH), where the first superscript denotes...
[...]
350 citations
References
8,118 citations
Additional excerpts
...Useful references on jet-spaces are [178, 186, 6]....
[...]
4,988 citations
4,335 citations
"Local BRST cohomology in gauge theo..." refers background or methods in this paper
...Thus, while the original point of view on the antifields (sources coupled to the BRST variations of the fields [45, 46, 47, 231, 232]) is useful for the purposes of renormalization theory, the complementary interpretation in terms of equations of...
[...]
...They have been introduced in order to control how the BRST symmetry gets renormalized [45, 46, 47, 231, 232]....
[...]
3,722 citations
"Local BRST cohomology in gauge theo..." refers background in this paper
...Yang-Mills theory in four dimensions is power-counting renormalizable [145, 146, 147, 148]....
[...]
...One of the aims was to relate the Slavnov-Taylor identities [188, 200] underlying the proof of power-counting renormalizability [145, 146, 147, 148, 168, 169, 170, 171] to an invariance of the gauge-fixed action (for a recent historical account, see [233])....
[...]