Lattice QCD Simulations in External Background Fields

D'Elia, Massimo

doi:10.48550/arxiv.1209.0374

Cited by 24 publications

(45 citation statements)

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“…( 5), all other abelian links are set to 1. Notice that, consistently with the required zero net magnetic flux across the lattice torus, the above U (1) links lead to a constant magnetic field but for a single plaquette, which is pierced by an additional Dirac string: invisibility of that string leads to a quantization condition for the magnetic field [92][93][94][95]…”

Section: Methodsmentioning

confidence: 81%

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Confining and chiral properties of QCD in extremely strong magnetic fields

D'Elia,

Maio,

Sanfilippo

et al. 2021

Preprint

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We investigate, by numerical lattice simulations, the static quark-antiquark potential, the flux tube properties and the chiral condensate for N f = 2 + 1 QCD with physical quark masses in the presence of strong magnetic fields, going up to eB = 9 GeV 2 , with continuum extrapolated results. The string tension for quark-antiquark separations longitudinal to the magnetic field is suppressed by one order of magnitude at the largest explored magnetic field with respect to its value at zero magnetic background, but is still non-vanishing; in the transverse direction, instead, the string tension is enhanced but seems to reach a saturation at around 50 % of its value at B = 0. The flux tube shows a consistent suppression/enhancement of the overall amplitude, with mild modifications of its profile. Finally, we observe magnetic catalysis in the whole range of explored fields with a behavior compatible with a lowest Landau level approximation, in particular with a linear dependence of the chiral condensate on B which is in agreement, within errors, with that already observed for eB ∼ 1 GeV 2 .

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Section: Methodsmentioning

confidence: 81%

“…where L x is the lattice extension along the x direction (in lattice units) and the right hand side (RHS) condition is needed to guarantee smoothness of the magnetic field across the periodic boundaries [92,93]; according to Eq. ( 5), all other abelian links are set to 1.…”

Section: Methodsmentioning

confidence: 99%

Confining and chiral properties of QCD in extremely strong magnetic fields

D'Elia,

Maio,

Sanfilippo

et al. 2021

Preprint

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“…Here, m f and q f are the mass 2 and absolute charge of the fermion of flavor f , respectively. Below we outline the notation we have used in (2) and are going to follow throughout as a µ = a µ + a µ ⊥ ; a µ = (a 0 , 0, 0, a 3 ); a µ ⊥ = (0, a 1 , a 2 , 0), g µν = g µν + g µν ⊥ ; g µν = diag(1, 0, 0, −1);…”

Section: Setupmentioning

confidence: 99%

“…Ongoing relativistic heavy ion collisions provide enough indications of the formation of the deconfined state of hadronic matter called Quark Gluon Plasma (QGP) and the nuclear matter under extreme conditions has been a subject of scrutiny. Recent studies [1][2][3][4][5] have revealed a captivating nature of non-central heavy ion collisions (HIC). It indicated that in such collisions, a very strong anisotropic magnetic field is generated in the direction perpendicular to the reaction plane, due to the relative motion of the ions themselves.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium

2016

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We have evaluated the electromagnetic spectral function and its spectral properties by computing the one-loop photon polarization tensor involving quarks in the loop, particularly in a strong field approximation compared to the thermal scale. When the magnetic scale is higher than the thermal scale the lowest Landau level (LLL) becomes effectively (1+1) dimensional strongly correlated system that provides a kinematical threshold based on the quark mass scale. Beyond this threshold the photon strikes the LLL and the spectral strength starts with a high value due to the dimensional reduction and then falls off with increase of the photon energy due to LLL dynamics in a strong field approximation. We have obtained analytically the dilepton production rates from LLL considering the lepton pair remains unaffected by the magnetic field when produced at the edge of a hot magnetized medium or affected by the magnetic field if produced inside a hot magnetized medium. For the later case the production rate is of O[|eB| 2 ] along with an additional kinematical threshold due to lepton mass than the former one. We have also investigated the electromagnetic screening by computing the Debye screening mass and it depends distinctively on three different scales (mass of the quasiquark, temperature and the magnetic field strength) of a hot magnetized system. The mass dependence of the Debye screening supports the occurrence of a magnetic catalysis effect in the strong field approximation.

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“…with all other U (1) link variables set to one, where L i is the number of lattice sites along direction i and last condition guarantees smoothness of the magnetic field across the x-boundary [31][32][33]. This choice leads to a constant magnetic field but for a single plaquette, which is pierced by an additional Dirac string and guarantees a zero magnetic flux across the lattice torus; invisibility of that string leads to a quantization condition for B, which is more compelling for the smallest quark charge q f = e/3:…”

Section: A External Magnetic Fieldmentioning

confidence: 99%

Phase diagram of QCD in a magnetic background

D'Elia,

Maio,

Sanfilippo

et al. 2021

Preprint

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We provide numerical evidence that the thermal QCD crossover turns into a first order transition in the presence of large enough magnetic background fields. The critical endpoint is found to be located between eB = 4 GeV 2 (where the pseudocritical temperature is Tc = (98 ± 3) MeV) and eB = 9 GeV 2 (where the critical temperature is Tc = (63±5) MeV). Results are based on the analysis of quark condensates and number susceptibilities, determined by lattice simulations of N f = 2 + 1 QCD at the physical point, discretized with three different lattice spacings, a = 0.114, 0.086 and 0.057 fm, via rooted stout staggered fermions and a Symanzik tree level improved pure gauge action. We also present preliminary results regarding the confining properties of the thermal theory, suggesting that they could change drastically going across the phase transition.

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Lattice QCD Simulations in External Background Fields

Cited by 24 publications

References 0 publications

Confining and chiral properties of QCD in extremely strong magnetic fields

Confining and chiral properties of QCD in extremely strong magnetic fields

Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium

Phase diagram of QCD in a magnetic background

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