Electromagnetic currents induced by color fields

Tanji, Naoto

doi:10.1103/physrevd.92.125012

Cited by 18 publications

(28 citation statements)

References 43 publications

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“…The oscillating behavior is a manifestation of the occurring plasma oscillations. The two Abelianized fermion currents sum up to 0, in accordance with both theory and previous studies [36,37].…”

Section: B Plasma Oscillations: Reaching Longer Times Using Lattice supporting

confidence: 91%

“…Diagonalizing gauge degrees of freedom in color space, which is generally possible by a local gauge transformation, provides a way to simplify the SU (2) gauge group structure. It results in a U (1)×U (1) gauge theory, which may be understood intuitively better compared to the SU (2) theory [36,37]. For later interpretation of lattice results in the context of Schwinger pair production, we consider in the following the Abelianization procedure for homogeneous field configurations.…”

Section: Abelianization For Homogeneous Fieldsmentioning

confidence: 99%

“…Compared to the Schwinger model, (1 + 1)-dimensional SU (N )-theory with massive fermions shares with full QCD the existence of confining strings between color charges as well as mesonic bound states in its spectrum [32][33][34][35]. Non-Abelian Schwinger pair production exhibits several distinct features such as interference and cancellations of currents between the different participating color charges [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

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Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians

Spitz

Berges

2019

Phys. Rev. D

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Far-from-equilibrium dynamics of SU (2) gauge theory with Wilson fermions is studied in 1 + 1 space-time dimensions using a real-time lattice approach. Lattice improved Hamiltonians are shown to be very efficient in simulating Schwinger pair creation and emergent phenomena such as plasma oscillations. As a consequence, significantly smaller lattices can be employed to approach continuum physics in the infinite-volume limit as compared to unimproved implementations. This allows us to compute also higher-order correlation functions including four fermion fields, which give unprecedented insights into the real-time dynamics of the fragmentation process of strings between fermions and antifermions.

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Section: B Plasma Oscillations: Reaching Longer Times Using Lattice supporting

confidence: 91%

Section: Abelianization For Homogeneous Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Schwinger pair production and string breaking in non-Abelian gauge theory from real-time lattice improved Hamiltonians

Spitz

Berges

2019

Phys. Rev. D

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“…This approach has been successfully employed in Ref. [45] and also in Ref. [50] being combined with the stochastic fermion method.…”

Section: B Quark Sectormentioning

confidence: 99%

“…Therefore, the glasma has the capability to generate abundant axial charges through the quark production.Since the axial anomaly is a genuine quantum phenomenon, one needs to solve the dynamics of quantum quark fields for a proper description of the axial charge production. Once we approximate the time evolution of the strong gauge fields as that of classical fields, the dynamics of the quark fields under the strong gauge fields can be computed on the real-time lattice [43][44][45][46][47][48][49][50]. To the leading order in the coupling g, the quark dynamics under the strong gauge field A ∼ 1/g is governed by the Dirac equation that nonperturbatively couples to the gauge field via the covariant derivative [51].…”

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confidence: 99%

Nonequilibrium axial charge production in expanding glasma flux tubes

Tanji

2018

Phys. Rev. D

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Axial charge production at the early stage of heavy-ion collisions is investigated within the framework of real-time lattice simulations at leading order in QCD coupling. Starting from color glass condensate initial conditions, the time evolution of quantum quark fields under classical color gauge fields is computed on a lattice in longitudinally expanding geometry.We consider simple color charge distributions in Lorentz contracted nuclei that realize flux tube-like configurations of color fields carrying nonzero topological charge after a collision.By employing the Wilson fermion extended to the longitudinally expanding geometry, we demonstrate the realization of the axial anomaly on the real-time lattice. I. INTRODUCTIONIn relativistic heavy-ion collisions, CP-violating configurations of color gauge fields can be generated locally either by gauge field dynamics at the instant of a collision or sphaleron transitions at later times [1][2][3][4][5]. Quarks interacting with such gauge fields induce the imbalance of axial charge due to the quantum phenomenon of axial anomaly. In presence of a strong U(1) magnetic field, which may be generated in off-central collisions, the axial charge asymmetry can be converted to a flow of electric current along the magnetic field [6]. This phenomenon is called chiral magnetic effect (CME) [7][8][9]. Experimental searches for this novel phenomenon have been carried out at RHIC and the LHC [10-12], where a charge dependence of azimuthal correlations was measured [13]. However, the observation of the CME in heavy-ion collisions still remains inconclusive due to large backgrounds [14].On the theory side, there have been numerous developments in the description of the transport phenomena associated with the CME based on the chiral kinetic theories [15][16][17][18][19][20] and the anomalous hydrodynamics [21][22][23][24][25][26]. To make predictions of observable consequences of the CME, some of these frameworks need the information of the axial charge distribution as an initial condition as well as * ntanji@ectstar.eu arXiv:1805.00775v2 [hep-ph] 19 Jul 2018 the space-time distribution of the magnetic field. Since the lifetime of the magnetic field is expected to be short < ∼ 1 fm/c [27][28][29], the understanding of the axial charge production at the early stage of heavy-ion collisions is indispensable in order to make reliable predictions about the CME.At high energies, colliding heavy-ions can be described in terms of the effective theory of color glass condensate (CGC) [30][31][32]. By a collision, strong color electromagnetic fields are generated, and the system expands to the longitudinal direction in a nearly boost-invariant way. Even though the QCD coupling is weak g 1, this system, called glasma [2], is strongly correlated because the gauge fields are inversely proportional to the coupling constant A ∼ 1/g as a consequence of the gluon saturation. Nonperturbative dynamics of these gauge fields can be computed by classical(statistical) gauge field simulations on the real-time ...

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