Trace anomalies in chiral theories revisited

Bonora, L.; Giaccari, Stefano; Souza, Bruno Lima de

doi:10.1007/jhep07(2014)117

Cited by 54 publications

(142 citation statements)

References 40 publications

(48 reference statements)

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“…6 we apply these results to the non-perturbative computation of the (odd) trace anomalies of the two em tensors with two different regularization, the dimensional and ζ -function ones. Then we compute the collapsing limit and show that the two anomalies collapse to a single one and take the form of the odd trace anomaly already computed in [2,3] and [1], as expected. Section 7 is devoted to our conclusions.…”

Section: Split and Non-split Anomaliessupporting

confidence: 72%

“…The second alternative refers to the use of Feynman diagrams, in which case the chirality of fermions is preserved by vertices containing the appropriate chiral projector. This is the method employed in [1][2][3] together with dimensional regularization. In the present paper however, we focus on an indirect method of calculation, first used by Bardeen, [4], for chiral gauge anomalies.…”

Section: Split and Non-split Anomaliesmentioning

confidence: 99%

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Axial gravity: a non-perturbative approach to split anomalies

et al. 2018

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In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a SchwingerDeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this model corresponds to a theory of chiral fermions coupled to (ordinary) gravity. Taking this limit on the two computed trace anomalies we verify that they tend to the same expression, which coincides with the already found odd parity trace anomaly, with the identical coefficient. This confirms our previous results on this issue.

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Section: Split and Non-split Anomaliessupporting

confidence: 72%

Section: Split and Non-split Anomaliesmentioning

confidence: 99%

Axial gravity: a non-perturbative approach to split anomalies

et al. 2018

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“…The idea of exploring the one-loop effective action is far from new: the list of works which may have some overlap with our paper includes [37][38][39][40][41][42][43][44][45][46], but is likely to be incomplete. From a technical point of view this paper continues the line of research started with [50][51][52][53] with more powerful techniques (a new Mathematica code).…”

Section: Jhep12(2016)084mentioning

confidence: 85%

One-loop effective actions and higher spins

Bonora

Cvitan

Prester

et al. 2016

J. High Energ. Phys.

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The idea we advocate in this paper is that the one-loop effective action of a free (massive) field theory coupled to external sources (via conserved currents) contains complete information about the classical dynamics of such sources. We show many explicit examples of this fact for (scalar and fermion) free field theories in various dimensions d = 3, 4, 5, 6 coupled to (bosonic, completely symmetric) sources with a number of spins. In some cases we also provide compact formulas for any dimension. This paper is devoted to two-point correlators, so the one-loop effective action we construct contains only the quadratic terms and the relevant equations of motion for the sources we obtain are the linearized ones.

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“…The new action becomes S =ˆd 3 x iΨE µ a γ a ∇ µ Ψ − mΨψ . The convention for momenta are the same as in [17,19].…”

Section: Jhep05(2016)072mentioning

confidence: 99%

“…We are interested in the one-loop effective action, in particular in the local part of its UV and IR limits. These contributions are originated by contact terms of the correlators (for related aspects concerning contact terms, see [16][17][18][19]). To do so we evaluate the 2-point correlators, and in some cases also the 3-point correlators, of various currents.…”

Section: Introductionmentioning

confidence: 99%

Massive fermion model in 3d and higher spin currents

Bonora

Cvitan

Prester

et al. 2016

J. High Energ. Phys.

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Abstract:We analyze the 3d free massive fermion theory coupled to external sources. The presence of a mass explicitly breaks parity invariance. We calculate two-and threepoint functions of a gauge current and the energy momentum tensor and, for instance, obtain the well-known result that in the IR limit (but also in the UV one) we reconstruct the relevant CS action. We then couple the model to higher spin currents and explicitly work out the spin 3 case. In the UV limit we obtain an effective action which was proposed many years ago as a possible generalization of spin 3 CS action. In the IR limit we derive a different higher spin action. This analysis can evidently be generalized to higher spins. We also discuss the conservation and properties of the correlators we obtain in the intermediate steps of our derivation.

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Trace anomalies in chiral theories revisited

Cited by 54 publications

References 40 publications

Axial gravity: a non-perturbative approach to split anomalies

Axial gravity: a non-perturbative approach to split anomalies

One-loop effective actions and higher spins

Massive fermion model in 3d and higher spin currents

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