Algebraic renormalization of the topological Yang-Mills field theory

Oliveira, M. W. de

doi:10.1016/0370-2693(93)90231-6

Cited by 7 publications

(3 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Typically, one fixes the divergence of the gauge field, the field strength and the divergence of the topological ghost. The renormalization properties of such models were investigated in [5,7,8,9]. Particularly in [9], the renormalizability at all orders in perturbation theory was proven for (anti-)self-dual Landau gauges.…”

Section: Introductionmentioning

confidence: 99%

Topological Yang-Mills theories in self-dual and anti-self-dual Landau gauges revisited

et al. 2017

View full text Add to dashboard Cite

We reconsider the renormalizability of topological Yang-Mills field theories in (anti-)selfdual Landau gauges. By employing algebraic renormalization techniques we show that there is only one independent renormalization. Moreover, due to the rich set of Ward identities, we are able to obtain some important exact features of the (connected and one-particle irreducible) two-point functions. Specifically, we show that all two-point functions are treelevel exact. * octavio@if.uff.br † aduarte@if.uff.br ‡

show abstract

Section: Introductionmentioning

confidence: 99%

Topological Yang-Mills theories in self-dual and anti-self-dual Landau gauges revisited

et al. 2017

View full text Add to dashboard Cite

show abstract

“…In this section we will summarize the quantum properties of BS theory in the self-dual Landau (SDL) gauges 23 . Extra details can be found in [24][25][26][27]51].…”

Section: Quantum Properties Of Bs Theory In the Self-dual Landau Gaugesmentioning

confidence: 99%

“…Due to the triviality of the BRST cohomology [24,27], Σ c belongs to trivial part of the BRST cohomology. The fact that the BS theory is quantum stable is a well-known result in literature [24,27,51]. In [24], it was introduced an extra non-linear bosonic symmetry that relates the topological ghost with the Faddeev-Popov one (among other transformations involving other fields) through the transformation…”

Section: Renormalization Ambiguitymentioning

confidence: 99%

Correspondence between the twisted $N = 2$ super-Yang-Mills and conformal Baulieu-Singer theories

Junqueira,

Sobreiro

2021

Preprint

View full text Add to dashboard Cite

We characterize the correspondence between the twisted N = 2 super Yang-Mills theory and the Baulieu-Singer topological theory quantized in the self-dual Landau gauges. While the first is based on an on-shell supersymmetry, the second is based on an off-shell Becchi-Rouet-Stora-Tyutin symmetry. Due to the equivariant cohomology, the twisted N = 2 in the ultraviolet regime and Baulieu-Singer theories share the same observables, the Donaldson invariants for four-manifolds. The triviality of the Gribov copies in the Baulieu-Singer theory in these gauges shows that working in the instanton moduli space on the twisted N = 2 side is equivalent to work in the self-dual gauges on the Baulieu-Singer one. After proving the vanishing of the β-function in the Baulieu-Singer theory, we conclude that the twisted N = 2 in the ultraviolet regime, in any Riemannian manifold, is correspondent to the Baulieu-Singer theory in the self-dual Landau gauges-a conformal gauge theory defined in Euclidean flat space.

show abstract