Comments on anomaly cancellations by pole subtractions and ghost instabilities with gravity

Armillis, Roberta; Corianò, Claudio; Rose, Luigi Delle; Fazio, A. R.

doi:10.1088/0264-9381/28/14/145004

Cited by 4 publications

(4 citation statements)

References 53 publications

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“…It is then easy to realize that the new decoupled Lagrangian is characterized by a ghost in its spectrum, at least at the level of trilinear interactions. As emphasized in previous work, a simple analysis of this Lagrangian -in the case of a chiral theory - [13] shows that the resolution of the kinetic mixing requires the inclusion of two axions, with one of them being a ghost. In the unmixed case, a standard Coleman-Weinberg analysis of the potential for the ghost term shows that the Lagrangian induces a ghost condensation, with the possibility of a redefinition of the vacuum.…”

Section: The Compensator and A Ghostmentioning

confidence: 77%

“…The instability is signalled by the presence of a ghost condensate at 1-loop level. To illustrate this formal result we follow closely the analysis of [13].…”

Section: The Coleman-weinberg Potential and Ghost Condensation At Trimentioning

confidence: 99%

“…In QED, for instance, one finds by an explicit computation thatF 13 = −e 2 /(6π 2 ) at one-loop and F 13 f is finite [15] and gets renormalized into F 13R only in its photon self-energy contributions [15] (s = p 2 1 , s 1 = p 2 2 , s 2 = p 2 3 )…”

Section: The T Jj Anomaly Pole From Renormalizationmentioning

confidence: 99%

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Exact correlators from conformal Ward identities in momentum space and perturbative realizations

Corianò¹,

Maglio²,

Tatullo³

et al. 2019

Proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2018)

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The general solution of the conformal Ward identities (CWI's) in momentum space, and their matching to perturbation theory, allows to uncover some specific characteristics of the breaking of conformal symmetry, induced by the anomaly. It allows to compare perturbative features of the 1-particle irreducible (1PI, nonlocal) anomaly action with the prediction of a similar (but exact) nonlocal action identified by the CWI's. The two predictions can be exactly matched at the level of 3-point functions. The analysis of the T JJ and T T T shows that both approaches -based either on 1PI or on the exact solutions of the CWI's -predict massless (dynamical) scalar exchanges in 3-point functions as the signature of the conformal anomaly. In a local formulation such 1PI actions exhibit a ghost in the spectrum which may induce ghost condensation. We also discuss alternative approaches, which take to Wess-Zumino forms of the action with an asymptotic dilaton, which should be considered phenomenological alternatives to the exact nonlocal action. If derived by a Weyl gauging, they also include a ghost in the spectrum. The two formulations, nonlocal and of WZ type, can be unified under the assumption that they describe the same anomaly phenomenon at two separate (UV/IR) ends of the renormalization group flow, possibly separated by a vacuum rearrangement at an intermediate scale. A similar analysis is presented for an N = 1 supersymmetric Yang-Mills theory. We comment on the possibile cosmological implications of such quasi Nambu-Goldstone modes as ultralight dilatons and axions.

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Section: The Compensator and A Ghostmentioning

confidence: 77%

“…The instability is signalled by the presence of a ghost condensate at 1-loop level. To illustrate this formal result we follow closely the analysis of [13].…”

Section: The Coleman-weinberg Potential and Ghost Condensation At Trimentioning

confidence: 99%

See 1 more Smart Citation

Exact correlators from conformal Ward identities in momentum space and perturbative realizations

Corianò¹,

Maglio²,

Tatullo³

et al. 2019

Proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2018)

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“…In this case the form factor is trivially given by a 1/k 2 term in the axial-vector channel, the anomaly pole [1]. A discussion of the nonlocal anomaly action identified by this contribution in position space can be found in [2,3,4]. Obviously, it is by now a common lore that the anomaly pole appearing in the perturbative computation is matched, in the chiral limit of QCD, to the bound state of a quark-antiquark pair, identified with the pion.…”

Section: Introductionmentioning

confidence: 99%

Conformal anomaly actions for dilaton interactions

Rose

Marzo

Serino

2014

EPJ Web of Conferences

Self Cite

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Abstract. We discuss, in conformally invariant field theories such as QCD with massless fermions, a possible link between the perturbative signature of the conformal anomaly, in the form of anomaly poles of the 1-particle irreducible effective action, and its description in terms of Wess-Zumino actions with a dilaton. The two descriptions are expected to capture the UV and IR behaviour of the conformal anomaly, in terms of fundamental and effective degrees of freedom respectively, with the dilaton effective state appearing in a nonlinear realization. As in the chiral case, conformal anomalies seem to be related to the appearance of these effective interactions in the 1PI action in all the gauge-invariant sectors of the Standard Model. We show that, as a consequence of the underlying anomalous symmetry, the infinite hierarchy of recurrence relations involving self-interactions of the dilaton is entirely determined only by the first four of them. This relation can be generalized to any even space-time dimension.

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Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect

Corianò,

Cretì,

Lionetti

et al. 2024

Advanced Physics Research

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Fundamental aspects of chiral anomaly‐driven interactions in conformal field theory (CFT) in four spacetime dimensions are discussed. These interactions find application in very general contexts, from early universe plasma to topological condensed matter. The key shared characteristics of these interactions are outlined, specifically addressing the case of chiral anomalies, both for vector currents and gravitons. In the case of topological materials, the gravitational chiral anomaly is generated by thermal gradients via the (Tolman–Ehrenfest) Luttinger relation. In the CFT framework, a nonlocal effective action, derived through perturbation theory, indicates that the interaction is mediated by excitation in the form of an anomaly pole, which appears in the conformal limit of the vertex. To illustrate this, it is demonstrated how conformal Ward identities (CWIs) in momentum space allow to reconstruct the entire chiral anomaly interaction in its longitudinal and transverse sectors just by inclusion of a pole in the longitudinal sector. Both sectors are coupled in amplitudes with an intermediate chiral fermion or a bilinear Chern–Simons current with intermediate photons. In the presence of fermion mass corrections, the pole transforms into a cut, but the absorption amplitude in the axial‐vector channel satisfies mass‐independent sum rules related to the anomaly in any chiral interaction. The detection of an axion‐like/quasiparticle in these materials may rely on a combined investigation of these sum rules, along with the measurement of the angle of rotation of the plane of polarization of incident light when subjected to a chiral perturbation. This phenomenon serves as an analog of a similar one in ordinary axion physics, in the presence of an axion‐like condensate, which is rederived using axion electrodynamics.

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Comments on anomaly cancellations by pole subtractions and ghost instabilities with gravity

Cited by 4 publications

References 53 publications

Exact correlators from conformal Ward identities in momentum space and perturbative realizations

Exact correlators from conformal Ward identities in momentum space and perturbative realizations

Conformal anomaly actions for dilaton interactions

Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect

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