Regularization of energy-momentum tensor correlators and parity-odd terms

Bonora, L.; Pereira, Antônio D.; Souza, Bruno Lima de

doi:10.1007/jhep06(2015)024

Cited by 40 publications

(76 citation statements)

References 40 publications

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“…The general method is discussed in subsection 6.2, here we limit ourselves to the results. Such results have already been presented in [16], but since they are important for the forthcoming discussion we summarize them below. For simplicity we set k 2 1 = k 2 2 = 0, so the total energy of the process is E = q 2 = √ 2k 1 ·k 2 .…”

Section: Jhep05(2016)072supporting

confidence: 53%

“…3.1 Two-point function of the current J a µ (x) This case has been treated in [16], therefore we will be brief. The only contribution comes from the bubble diagram with external momentum k and momentum p in the fermion loop.…”

Section: Jhep05(2016)072mentioning

confidence: 99%

“…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%

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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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Section: Jhep05(2016)072supporting

confidence: 53%

Section: Jhep05(2016)072mentioning

confidence: 99%

“…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%

Section: Introductionmentioning

confidence: 99%

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Massive fermion model in 3d and higher spin currents

Bonora

Cvitan

Prester

et al. 2016

J. High Energ. Phys.

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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: 87%

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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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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Regularization of energy-momentum tensor correlators and parity-odd terms

Cited by 40 publications

References 40 publications

Massive fermion model in 3d and higher spin currents

Massive fermion model in 3d and higher spin currents

One-loop effective actions and higher spins

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

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