Pionic dispersion relations in the presence of a weak magnetic field

Abstract

In this work, dispersion relations of π 0 and π ± have been studied in vacuum in the limit of weak external magnetic field using a phenomenological pion-nucleon (πN ) Lagrangian. For our purpose, we have calculated the results up to one loop order in self energy diagrams with the pseudoscalar (P S) and pseudovector (P V ) pion-nucleon interactions. By assuming weak external magnetic field it is seen that the effective mass of pion gets explicit magnetic field dependence and it is modified significantly for the case of PS coupling. However, for the PV coupling, only a modest increase in the effective mass is observed. These modified dispersion relations due to the presence of the external field can have substantial influence in the phenomenological aspect of the mesons both in the context of neutron stars as well as relativistic heavy ion collisions. * souvikpriyam.adhya@saha.ac.in †

Meson properties in magnetized quark matter

“…For the phase transition from chiral symmetry breaking to its restoration, there are magnetic catalysis effects at the mean field level [4][5][6] and inverse magnetic catalysis effects in lattice QCD simulations [7][8][9] and effective model calculations [10][11][12][13][14]. Considering that pion mesons are the Goldstone modes corresponding to chiral symmetry breaking and dominate the QCD thermodynamics at low temperature, their properties [15][16][17][18][19][20][21][22][23][24][25][26][27] in an external magnetic field are extensively investigated.…”

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

“…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].…”

Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field

“…In fact it can be seen in Fig.2a, that magnetic effects are weaker as the density approaches to zero. The results of [21] correspond to a monotonous and slight increase with B, showing a growth below 1% at eB = 0.02 GeV 2 . A similar trend can be deduced from Fig.5b of Ref.…”