Chiral gauge theories and anomalies in the Wilson renormalization group approach

Bonini, M.; Vian, F.

doi:10.1016/s0550-3213(97)00740-2

Cited by 12 publications

(29 citation statements)

References 43 publications

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“…[2]). This also raises the question about the non supersymmetric theory such as the gauge coupling of left handed fermions, where the chiral anomaly [14] would appear like a rescaling anomaly. These problems can be investigated with more confidence when the problem of incorporating gauge invariance in ERG is solved.…”

Section: Discussionmentioning

confidence: 99%

Exact renormalization group equation in presence of rescaling anomaly

Arnone

Fusi

Yoshida

1999

J. High Energy Phys.

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Wilson' s approach to renormalization group is reanalyzed for supersymmetric Yang-Mills theory. Usual demonstration of exact renormalization group equation must be modified due to the presence of the so called Konishi anomaly under the rescaling of superfields. We carry out the explicit computation for N = 1 SUSY Yang-Mills theory with the simpler, gauge invariant regularization method, recently proposed by ArkaniHamed and Murayama. The result is that the Wilsonian action S M consists of two terms, i.e. the non anomalous term, which obeys Polchinski' s flow equation and Fujikawa-Konishi determinant contribution. This latter is responsible for Shifman-Vainshtein relation of exact β-function. *

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Section: Discussionmentioning

confidence: 99%

Exact renormalization group equation in presence of rescaling anomaly

Arnone

Fusi

Yoshida

1999

J. High Energy Phys.

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“…The STI for the Schwinger functional (7.13) turns into [98][99][100][101][102][103][104][105][106][107][108][109][110][111][112][113][114][115] …”

Section: Mstimentioning

confidence: 99%

Aspects of the functional renormalisation group

2007

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We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A simple equation for the flow of these relations is provided. The setting includes general flows in the presence of composite operators and their relation to standard flows, an important example being N PI quantities. We discuss optimisation and derive a functional optimisation criterion.Applications deal with the interrelation between functional flows and the quantum equations of motion, general Dyson-Schwinger equations. We discuss the combined use of these functional equations as well as outlining the construction of practical renormalisation schemes, also valid in the presence of composite operators. Furthermore, the formalism is used to derive various representations of modified symmetry relations in gauge theories, as well as to discuss gauge-invariant flows. We close with the construction and analysis of truncation schemes in view of practical optimisation.

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“…However in various cases it is impossible to impose ∆ Γ = 0. For instance in chiral gauge theories 17 the right hand side of the mWI (93) is non-zero and one could compute the chiral anomaly by following the lines of [29]. Obviously one obtains the same result since the coefficient of the anomaly is independent of the cutoff function choice.…”

Section: B Formal Proof Of the Mwi And Relation With The Qapmentioning

confidence: 92%