A non-relativistic Weyl anomaly

Adam, Ido; Melnikov, Ilarion V.; Theisen, Stefan

doi:10.1088/1126-6708/2009/09/130

Cited by 47 publications

(45 citation statements)

References 18 publications

(31 reference statements)

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“…In the case without boosts, studied in [10][11][12][13][14], several anomalies are indeed possible at the scale-invariant fixed points. Unfortunately, in all the cases that have been studied, these anomalies have vanishing Weyl variation (type B anomalies [15]).…”

Section: Jhep07(2016)047mentioning

confidence: 97%

Heat kernel for Newton-Cartan trace anomalies

Auzzi

Nardelli

2016

J. High Energ. Phys.

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Section: Jhep07(2016)047mentioning

confidence: 97%

Heat kernel for Newton-Cartan trace anomalies

Auzzi

Nardelli

2016

J. High Energ. Phys.

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“…In the notation of [34] these are denoted by C 1 and C 2 , respectively (see [60] for their appropriately normalized values). For other examples of Lifshitz anisotropic Weyl anomalies see [34,85,86]. When I (0) = 0 there is one more term in the anomaly density.…”

Section: Jhep01(2014)057mentioning

confidence: 99%

Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography

Christensen¹,

Hartong²,

Obers³

et al. 2014

J. High Energ. Phys.

180

388

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For a specific action supporting z = 2 Lifshitz geometries we identify the Lifshitz UV completion by solving for the most general solution near the Lifshitz boundary. We identify all the sources as leading components of bulk fields which requires a vielbein formalism. This includes two linear combinations of the bulk gauge field and timelike vielbein where one asymptotes to the boundary timelike vielbein and the other to the boundary gauge field. The geometry induced from the bulk onto the boundary is a novel extension of Newton-Cartan geometry that we call torsional Newton-Cartan (TNC) geometry. There is a constraint on the sources but its pairing with a Ward identity allows one to reduce the variation of the on-shell action to unconstrained sources. We compute all the vevs along with their Ward identities and derive conditions for the boundary theory to admit conserved currents obtained by contracting the boundary stress-energy tensor with a TNC analogue of a conformal Killing vector. We also obtain the anisotropic Weyl anomaly that takes the form of a Hořava-Lifshitz action defined on a TNC geometry. The Fefferman-Graham expansion contains a free function that does not appear in the variation of the on-shell action. We show that this is related to an irrelevant deformation that selects between two different UV completions.

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“…An updated version of PYTHIA has been proposed, in which MPI plays an important role in the production of heavy quarks like charm and beauty quarks. PYTHIA8 describes the increasing trend of open charm and nonprompt J=ψ production as a function of charged-particle multiplicity measured by the ALICE experiment at ffiffi ffi s p ¼ 7 and 13 TeV [16,17]. The color reconnection (CR) is an important mechanism to describe the interactions that can occur between colored fields during the hadronization process.…”

Section: Introductionmentioning

confidence: 99%

Role of multiparton interactions on J/ψ production in p+p collisions at LHC energies

Thakur

Sahoo

et al. 2018

Phys. Rev. D

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The production mechanism of quarkonia states in hadronic collisions is still to be understood by the scientific community. In high-multiplicity p þ p collisions, underlying event observables are of major interest. The multiparton interactions (MPIs) are underlying event observables, in which several interactions occur at the partonic level in a single p þ p event. This leads to dependence of particle production on event multiplicity. If the MPI occurs in a harder scale, there will be a correlation between the yield of quarkonia and total charged-particle multiplicity. The ALICE experiment at the LHC in p þ p collisions at ffiffi ffi s p ¼ 7 and 13 TeV has observed an approximate linear increase of relative J=ψ yield, ( dN J=ψ =dy hdN J=ψ =dyi ), with relative charged-particle multiplicity density, ( dN ch =dy hdN ch =dyi ). In our present work, we have performed a comprehensive study of the production of charmonia as a function of charged-particle multiplicity in p þ p collisions at LHC energies using the perturbative QCD-inspired multiparton interaction model, PYTHIA8 tune 4C, with and without the color reconnection scheme. A detailed multiplicity and energy-dependent study is performed to understand the effects of MPI on J=ψ production. The ratio of ψð2SÞ to J=ψ is also studied as a function of charged-particle multiplicity at LHC energies.

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A non-relativistic Weyl anomaly

Abstract: We examine the Weyl anomaly for a four-dimensional z = 3 Lifshitz scalar coupled to Hořava's theory of anisotropic gravity. We find a one-loop break-down of scale-invariance at second order in the gravitational background.

Cited by 47 publications

References 18 publications

Heat kernel for Newton-Cartan trace anomalies

Heat kernel for Newton-Cartan trace anomalies

Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography

Role of multiparton interactions on J/ψ production in p+p collisions at LHC energies

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