Competition between magnetic catalysis effect and chiral rotation effect

Abstract

In this work, we explore the competition between magnetic catalysis effect and chiral rotation effect in a general parallel electromagnetic field within the effective Nambu-Jona-Lasinio model. For a given electric field E at zero temperature, the mass gap shows three different features with respect to an increasing magnetic field B: increasing monotonically, decreasing after increasing and decreasing monotonically. By making use of strong magnetic field approximation, we illuminate that this is due to the competition between catalysis effect and chiral rotation effect induced both by the magnetic field, and a critical electric field √ eE c = 86.4 MeV is found beyond which the mass gap will eventually decrease at large B. As only large magnetic field is relevant for the derivation, the critical electric field does not depend on the temperature T or chemical potential µ.PACS numbers:

Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model

“…with variables y ≡ x − x ′ . Apart for the Schwinger phase, the effective fermion propagator to G f (x, x ′ ) is a function of the relative coordinate y, so we can take Fourier transformation to give the form in energy-momentum space as [133] Ĝf…”

Charged rho superconductor in the presence of magnetic field and rotation

“…We understand that the corresponding energy scales √ eB of the magnetic fields are larger than the energy scale of NJL model, which then seems to invalid these choices of eB. However, if one recognize that NJL model predicts magnetic catalysis effect up to eB = 4 GeV 2 [27] which is qualitatively consistent with LQCD simulations up to eB = 3.25 GeV 2 [52], we have good reason to believe that the valid energy scale is well extended by adopting vacuum regularization. The numerical results are shown in Figs.…”

“…Nevertheless, along with the discoveries of magnetic catalysis effect at zero temperature [12,13] and global polarization of hyperon in peripheral HICs [14][15][16], some unexpected features emerge and still require proper explanations: the inverse magnetic catalysis effect [18,19] and the "sign puzzles" of the local polarizations [16,[20][21][22][23]. In some sense, the extreme conditions a e-mail: caogaoqing@mail.sysu.edu.cn (corresponding author) open a wide realm for the searching of new phases, such as ρ ± superconductor in pure magnetic field [24,25], neutral pseudoscalar superfluid in parallel EM field [26][27][28][29] and π ± superfluid in parallel magnetic field and rotation (B ) [30]. Among others, the possibility of ρ ± superconductor was under fierce debate since its proposal [24,25,[31][32][33][34][35][36], mainly concerning the internal quark-antiquark effect on rho mesons.…”

Mode decomposed chiral magnetic effect and rotating fermions

“…Now, chiral transport phenomena in general have grown up to be one major subject in not only heavyion collision but general physics [42,43]. So far, B-induced and ω-induced phenomena have been considered individually, but an interplay between B and ω would be becoming more and more attractive [44][45][46][47][48][49][50][51][52]. Among various theoretical attempts, we shall pay our special attention to Ref.…”