Quantum statistics and noncommutative black holes

Gupta, Kumar S.; Meljanac, Stjepan; Samsarov, Andjelo

doi:10.1103/physrevd.85.045029

Cited by 37 publications

(48 citation statements)

References 69 publications

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“…Experimental results on exclusive twophoton production of W + W − and + − pairs in γ γ interactions reported by the CMS and ATLAS Collaborations [9][10][11][12] have demonstrated that it is possible to measure such events with the experimental apparatus already available at the LHC, allowing for novel studies of QCD at very high energies and searches for Beyond Standard Model Physics (see, e.g., Ref. [49][50][51][52][53][54][55][56][57][58][59]). This motivates us to revisit the analysis of double vector meson production in ultra peripheral heavy ion collisions performed some time ago in Refs.…”

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confidence: 99%

Double vector meson production in $$\gamma \gamma $$ γ γ interactions at hadronic colliders

2016

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In this paper we revisit the double vector meson production in γ γ interactions at heavy ion collisions and present, by the first time, predictions for the ρρ and J/ J/ production in proton-nucleus and proton-proton collisions. In order to obtain realistic predictions for rapidity distributions and total cross sections for the double vector production in ultra peripheral hadronic collisions we take into account the description of γ γ → V V cross section at low energies as well as its behavior at large energies, associated to the gluonic interaction between the color dipoles. Our results demonstrate that the double ρ production is dominated by the low energy behavior of the γ γ → V V cross section. In contrast, for the double J/ production, the contribution associated to the description of the QCD dynamics at high energies contributes significantly, mainly in pp collisions. Predictions for the RHIC, LHC, FCC, and CEPC-SPPC energies are shown.In recent years a series of experimental results from RHIC [1,2], Tevatron [3] and LHC [4][5][6][7][8][9][10][11][12] demonstrated that the study of photon-induced interactions in hadronic colliders is feasible and that it can be used to, among other things, improve our knowledge on the nuclear gluon distribution [13][14][15][16][17][18][19], on details of QCD dynamics [20][21][22][23][24][25][26][27][28][29][30], on the mechanism of quarkonium production [29][30][31][32][33][34][35][36], on the Odderon [37,38] and on the photon flux of the proton [39,40]. These data have stimulated the development of the theoretical description of these processes as well as the proposal of new forward detectors to be installed in the LHC [41,42].The basic idea in the photon-induced processes is that an ultra relativistic charged hadron (proton or nucleus) creates strong electromagnetic fields. A photon stemming from the electromagnetic field of one of the two colliding hadrons can interact with one photon coming from the other hadron a e-mails: barros@ufpel.edu.br;victor.goncalves@thep.lu.se (photon-photon process) or it can interact directly with the other hadron (photon-hadron process) [43][44][45][46][47][48]. In these processes the total cross section can be factorized in terms of the flux of equivalent photons from the hadron projectile and the photon-photon or photon-target production cross section. In this paper we will focus on two-photon interactions in hadronic collisions. Experimental results on exclusive twophoton production of W + W − and + − pairs in γ γ interactions reported by the CMS and ATLAS Collaborations [9][10][11][12] have demonstrated that it is possible to measure such events with the experimental apparatus already available at the LHC, allowing for novel studies of QCD at very high energies and searches for Beyond Standard Model Physics (see, e.g., Ref. [49][50][51][52][53][54][55][56][57][58][59]). This motivates us to revisit the analysis of double vector meson production in ultra peripheral heavy ion collisions performed some time ago in Refs. [60][61][62...

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confidence: 99%

Double vector meson production in $$\gamma \gamma $$ γ γ interactions at hadronic colliders

2016

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“…The fermionic vacuum correction and its influence has also been investigated in earlier works [91][92][93][94]. In a recent work [95], we generalized the proper accounting of renormalized fermionic vacuum fluctuation in the two flavour PQM model to the non-zero chemical potentials and found that the position of CEP shifts to a significantly higher chemical potential in the µ and T plane of the phase diagram, due to the influence of fermionic vacuum term in our PQMVT (PQM model with vacuum term) model calculations. Very recently, Schaefer et.…”

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confidence: 95%

Exploring criticality in the QCD-like two quark flavor models

Tiwari

2012

Phys. Rev. D

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The critical end-point (CEP) and critical behaviour in its vicinity, has been explored in the two flavour effective chiral models with and without the presence of effective Polyakov loop potential.The tricritical point (TCP) in the massless chiral limit has been located on the phase diagram in the µ and T plane for the Polyakov loop extended Quark Meson Model (PQM) and pure Quark Meson (QM) model which become effective Quantum-chromodynamics (QCD) like models due to the proper accounting of fermionic vacuum loop contribution in the effective potential.The proximity of the TCP to the QCD critical end-point (CEP) has been quantified in the phase diagram. The critical region around CEP has been obtained in the presence as well as the absence of fermionic vacuum loop contribution in the effective potentials of PQM and QM models. The contours of appropriately normalized constant quark number susceptibility and scalar susceptibility have been plotted around CEP in different model scenarios. These contours determine the shape of critical region and facilitate comparisons in different models such that the influence of fermionic vacuum term and Polyakov loop potential on the critical behavior around CEP can be ascertained in qualitative as well as quantitative terms. Critical exponents resulting from the divergence of quark number susceptibility at the CEP, have been calulated and compared with in different model scenarios. The possible influence of TCP on the critical behavior around CEP, has also been discussed. The temperature variation of σ and π meson masses at µ = 0, µ = µCEP and µ > µCEP has been shown and compared with in different model scenarios and the emerging mass degeneration trend in the σ and π meson mass variations has been inferred as the chiral symmetry restoration takes place at higher temperatures.

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“…However, in the casex µ given by (2.44), e iq µ x a ϕaµ(∂) 1 = e ipx and (A.7) reduces to 8) which leads to the following quantized plane waves…”

Section: Jhep07(2017)116mentioning

confidence: 99%

“…From [43], one concludes in particular that (4.3) and (4.4) do not have (perturbative) UV/IR mixing. Indeed, a standard analysis as in e.g [43] shows that the quadratic part of the effective action for (4.3) (i.e 2-point function part) receives 2 types of one-loop contributions whose typical form is given by 6) whereφ is the Fourier transform of φ, in which 8) up to unessential overall factors. For θ = 0, one can check that ω I is finite (even for m = 0) while one obtains ω II (0, k 2 ) ∼ δ(k 2 )ω I (with similar expression for ω II (k 1 , 0)).…”

Section: Jhep07(2017)116mentioning

confidence: 99%

“…Noncommutativity of space-time might have significant physical impact, e.g. gravitational and cosmological effects as investigated in [4][5][6][7][8][9]. Once the noncommutative nature of space-time is assumed which is generally reflected into the noncommutativity of an algebra of coordinates, noncommutative field theories (NCFT) or noncommutative gauge theories naturally arise.…”

Section: Introductionmentioning

confidence: 99%

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Involutive representations of coordinate algebras and quantum spaces

Jurić

Poulain

Wallet

2017

J. High Energ. Phys.

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We show that su(2) Lie algebras of coordinate operators related to quantum spaces with su(2) noncommutativity can be conveniently represented by SO(3)-covariant poly-differential involutive representations. We show that the quantized plane waves obtained from the quantization map action on the usual exponential functions are determined by polar decomposition of operators combined with constraint stemming from the Wigner theorem for SU(2). Selecting a subfamily of * -representations, we show that the resulting star-product is equivalent to the Kontsevich product for the Poisson manifold dual to the finite dimensional Lie algebra su(2). We discuss the results, indicating a way to extend the construction to any semi-simple non simply connected Lie group and present noncommutative scalar field theories which are free from perturbative UV/IR mixing.

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Quantum statistics and noncommutative black holes

Cited by 37 publications

References 69 publications

Double vector meson production in $$\gamma \gamma $$ γ γ interactions at hadronic colliders

Double vector meson production in $$\gamma \gamma $$ γ γ interactions at hadronic colliders

Exploring criticality in the QCD-like two quark flavor models

Involutive representations of coordinate algebras and quantum spaces

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