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

Abstract

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.

Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation

“…In recent years numerous activities have been in progress such as magnetic catalysis [1][2][3], inverse magnetic catalysis [4][5][6][7][8][9][10][11][12] and chiral magnetic effect [13][14][15] at finite temperature, and the chiral-and color-symmetry broken/restoration phase [16][17][18][19][20]. Also in progress is the study related to the equation of state (EoS) in thermal perturbative QCD (pQCD) models [21,22], holographic models [23,24] and various thermodynamic properties [19,20,25,26], refractive indices and decay constant of hadrons [27][28][29][30][31][32][33][34]; soft photon production from conformal anomaly [35,36] in HIC; modification of dispersion properties in a magnetized hot QED [37,38] and QCD [38][39][40][41] medium; and various transport coefficients [42]…”

Thermo-magnetic spectral properties of neutral mesons in vector and axial-vector channels using NJL model

“…Significant care has to be taken while considering the special case of ⃗ q ¼ ⃗ 0 [47,52]. To see this, let us write ⃗ q ¼ j⃗ qjn wheren is the unit vector in the direction of ⃗ q.…”

“…To do this, we use the formalism developed in Ref. [47] and simplify Eq. (A5) using the dimensional regularization.…”

“…The general Lorentz structure for the ρ meson in the presence of a thermo-magnetic medium has been recently reported in Ref. [47]. One may note that the Lorentz structure of a ρ meson polarization function has not been considered in Ref.…”

General structure of gauge boson propagator and its spectra in a hot magnetized medium

“…This particular decomposition of the self-energy in terms of four tensor basis is exactly same that has been used in Ref. [43,44] which, however were then applied for different perspectives.…”