Local approach to dilatation invariance

Bandelloni, G.; Becchi, C.; Blasi, Alberto; Collina, R.

doi:10.1016/0550-3213(82)90296-6

Cited by 35 publications

(66 citation statements)

References 10 publications

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“…Our results confirm previous conjectures in the field. [The existence of antifield-dependent solutions of the consistency equation at ghost number one for a theory with abelian factors was anticipated in [27]. The structure of these solutions was partly elucidated and an argument was given that they cannot occur as anomalies].…”

Section: Resultsmentioning

confidence: 99%

Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

1995

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Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential s modulo the exterior spacetime derivative d for all values of the ghost number, in the space of polynomials in the fields, the ghosts, the antifields (=sources for the BRST variations) and their derivatives. New solutions to the consistency conditions sa + db = 0 depending non trivially on the antifields are exhibited. For a semisimple gauge group, however, these new solutions arise only at ghost number two or higher. Thus at ghost number zero or one, the inclusion of the antifields does not bring in new solutions to the consistency condition sa + db = 0 besides the already known ones. The analysis does not use power counting and is purely cohomological. It can be easily extended to more general actions containing higher derivatives of the curvature, or Chern-Simons terms.

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Section: Resultsmentioning

confidence: 99%

Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

1995

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“…For the purposes of this section, however, the reduced functional simplifies significantly the derivation without affecting the physical information we can extract from Γ S . In a way, this can be viewed as a consequence of the fact that the cancellation between the unphysical degrees of freedom occurs independently of the gauge-fixing sector [20,32].…”

Section: The Scalar Sectormentioning

confidence: 99%

Nielsen identities of the SM and the definition of mass

2000

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In a generic gauge theory the gauge parameter dependence of individual Green functions is controlled by the Nielsen identities, which originate from an enlarged BRST symmetry. We give a practical introduction to the Nielsen identities of the Standard Model (SM) and to their renormalization and illustrate the power of this elegant formalism in the case of the problem of the definition of mass. We prove to all orders in perturbation theory the gauge-independence of the complex pole of the propagator for all physical fields of the SM, in the most general case with mixing and CP violation. At the amplitude level, the formalism provides an intuitive and general understanding of the gauge recombinations which makes it particularly useful at higher orders. We also include in an appendix the explicit expressions for the fermionic two-point functions in a generic R ξ gauge.

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“…However, through the arguments of [20] we conclude that the U (1)-ghosts do not contribute to the anomaly due to their freedom or soft coupling, then the Slavnov-Taylor identity is implemented at the quantum level.…”

Section: B Anomaly and Finitenessmentioning

confidence: 99%

“…At the quantum level the vertex functional, Γ, which coincides with the classical action (20), Γ (0) , at order 0 inh,…”

Section: B Anomaly and Finitenessmentioning

confidence: 99%

On the finiteness of a new topological model in D=3

1999

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A new topological model is proposed in three dimensions as an extension of the BF-model. It is a three-dimensional counterpart of the two-dimensional model introduced by Chamseddine and Wyler ten years ago. The BFK-model, as we shall call it, shows to be quantum scale invariant at all orders in perturbation theory. The proof of its full finiteness is given in the framework of algebraic renormalization.

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Local approach to dilatation invariance

Cited by 35 publications

References 10 publications

Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory

Nielsen identities of the SM and the definition of mass

On the finiteness of a new topological model in D=3

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