Spectral properties of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:math>meson in a magnetic field

Ghosh, Snigdha; Mukherjee, Arghya; Mandal, Mahatsab; Sarkar, Sourav; Roy, P.

doi:10.1103/physrevd.94.094043

Cited by 39 publications

(28 citation statements)

References 33 publications

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“…Similar study incorporating this magnetic field dependent vacuum contribution term, for the dispersion relations of π and ρ mesons, can be found in Refs. [86][87][88]. However, in this work, we have not given the explicit calculation of this term since it does not contribute to the Debye mass which we will discuss in the next section.…”

Section: Photon Self Energy At Finite Temperature Under External mentioning

confidence: 99%

Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium

Ghosh

Chandra

2018

Phys. Rev. D

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The dilepton production rate in hot QCD medium is studied within a effective description of the medium in the presence of magnetic field. This could be done by obtaining the one-loop self energy of photon due to the effective (quasi-) quark loop at finite temperature under an arbitrary external magnetic field while employing the real time formalism of Thermal Field Theory. The effective quarks and gluons encode hot QCD medium effective in terms of their respective effective fugacities. The magnetic field enters in the form of landau level quantization, in the matter sector (quarks, antiquarks). The full Schwinger proper time propagator including all the Landau levels is considered for the quasi quarks while calculating the photon self energy. The electromagnetic Debye screening (in terms of the self-energy) has seen to be influenced both by the hot QCD medium effects and magnetic field. Analogous results are also obtained from the semi classical transport theory. The imaginary part of the photon self energy function is obtained from the discontinuities of the self energy across the Unitary cuts which are also present at zero magnetic field and the Landau cuts which are purely due to the magnetic field. The dilepton production rate is then obtained in terms of the product of electromagnetic spectral functions due to quark loop and lepton loop. The modifications of both the quarks/antiquarks as well as leptons in presence of an arbitrary external magnetic field have been considered in the formalism. Significant enhancement of the low invariant mass dileptons due the appearance of the Landau cuts in the electromagnetic spectral function at finite external magnetic field has been observed. A substantial enhancement of dilepton rate is also found when the EOS effects are considered through the effective quarks/antiquraks.

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Section: Photon Self Energy At Finite Temperature Under External mentioning

confidence: 99%

Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium

Ghosh

Chandra

2018

Phys. Rev. D

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“…At vanishing chemical potential, the corresponding critical magnetic field is observed to lie in the range 0.2 -0.6 GeV 2 for temperatures in between 0.2-0.5 GeV. However, the neutral ρ meson in vacuum, having no trivial Landau shifts in the energy eigenvalue, shows a slow decrease in the effective mass [28] in weak magnetic field region. Thus, if neutral rho condensation is possible, extremely large magnetic field values will be required to observe the condensation.…”

Section: Introductionmentioning

confidence: 96%

“…[19], even if point like ρ 0 meson is considered without any influence by magnetic field, there exists a critical value of the external magnetic field for which the ρ 0 to π + π − decay stops due to the trivial enhancement of the charged pion mass. Later the magnetic modification arising from the loop corrections are taken into account at weak [28,29] as well as at strong field limits [30] at zero temperature. An immediate generalization of the previous works will be to incorporate the medium effects of the ρ 0 meson which may reflect in the modification of the decay rate and the required critical magnetic field.…”

Section: Introductionmentioning

confidence: 99%

General structure of the neutral ρ meson self-energy and its spectral properties in a hot and dense magnetized medium

et al. 2019

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The one loop self energy of the neutral ρ meson is obtained for the effective ρππ and ρN N interaction at finite temperature and density in the presence of a constant background magnetic field of arbitrary strength. In our approach, the eB-dependent vacuum part of the self energy is extracted by means of dimensional regularization where the ultraviolet divergences corresponding to the pure vacuum self energy manifest as the pole singularities of gamma as well as Hurwitz zeta functions. This improved regularization procedure consistently reproduces the expected results in the vanishing magnetic field limit and can be used quite generally in other self energy calculations dealing with arbitrary magnetic field strength. In presence of the external magnetic field, the general Lorentz structure for the in-medium vector boson self energy is derived which can also be implemented in case of the gauge bosons such as photons and gluons. It has been shown that with vanishing perpendicular momentum of the external particle, essentially two form factors are sufficient to describe the self energy completely. Consequently, two distinct modes are observed in the study of the effective mass, dispersion relations and the spectral function of ρ 0 where one of the modes possesses two fold degeneracy. For large baryonic chemical potential, it is observed that the critical magnetic field required to block the ρ 0 → π + π − decay channel increases significantly with temperature. However, in case of smaller values reaching down to vanishing chemical potential, the critical field follows the opposite trend.

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“…Several novel properties of hot and dense nuclear matter in the presence of the background magnetic field have been studied over the years, namely, the chiral magnetic effect [4,10,11]; chiral-and color-symmetry broken/restoration phase [12][13][14][15]; magnetic catalysis [16][17][18] and inverse magnetic catalysis [18][19][20][21][22]; bulk properties of Fermi gas [23]; phase structure of QCD [17,[24][25][26][27]; various properties of mesons such as the decay constant, thermal mass, and dispersion relations [28][29][30][31][32]; soft photon production from conformal anomaly in heavy-ion collisions [33,34]; modification of QED dispersion properties [35]; electromagnetic radiation [36]; dilepton production [37][38][39][40][41][42]; transport properties [43,44]; and properties of quarkonia [45][46][47][48].…”

Section: Introductionmentioning

confidence: 99%

Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation

Haque

2017

Phys. Rev. D

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Spectral properties of theρmeson in a magnetic field

Cited by 39 publications

References 33 publications

Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium

Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium

General structure of the neutral ρ meson self-energy and its spectral properties in a hot and dense magnetized medium

Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation

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