Sphaleron transition rate in the presence of dynamical fermions

Kovner, Alex; Krasnitz, A.; Potting, Robertus

doi:10.1103/physrevd.61.025009

Cited by 13 publications

(21 citation statements)

References 32 publications

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“…[34,35]. Numerical solutions of the JIMWLK evolution equations [36][37][38][39][40][41][42][43][44][45][46][47] to small x were presented in Refs. [19,34], shown in Fig.…”

Section: Dijets In Dis At High Energiesmentioning

confidence: 99%

“…Our event generator described in the following Sec. III employs tabulated solutions of the leading order, fixed coupling JIMWLK evolution equations [36][37][38][39][40][41][42][43][44][45][46][47] for xh (1) (Y, q 2 ⊥ ) and xG (1)…”

Section: Dijets In Dis At High Energiesmentioning

confidence: 99%

“…They are then evolved to x < x 0 using the fixed coupling Langevin form [54,55] of the JIMWLK renormalization group equation [36][37][38][39][40][41][42][43][44][45][46][47], as described in Ref. [56].…”

Section: A General Descriptionmentioning

confidence: 99%

See 2 more Smart Citations

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries

2019

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The production of a hard dijet with small transverse momentum imbalance in semiinclusive DIS probes the conventional and linearly polarized Weizsäcker-Williams (WW) Transverse Momentum Dependent (TMD) gluon distributions. The latter, in particular, gives rise to an azimuthal dependence of the dijet cross-section. In this paper we analyze the feasibility of a measurement of these TMDs through dijet production in DIS on a nucleus at an Electron-Ion Collider. We introduce the MCDijet Monte-Carlo generator to sample quark -antiquark dijet configurations based on leading order parton level cross-sections with WW gluon distributions that solve the non-linear small-x QCD evolution equations. These configurations are fragmented to hadrons using PYTHIA, and final state jets are reconstructed. We report on background studies and on the effect of kinematic cuts introduced to remove beam jet remnants. We estimate that with an integrated luminosity of 20 fb −1 /A one can determine the distribution of linearly polarized gluons with a statistical accuracy of approximately 5%.

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“…[34,35]. Numerical solutions of the JIMWLK evolution equations [36][37][38][39][40][41][42][43][44][45][46][47] to small x were presented in Refs. [19,34], shown in Fig.…”

Section: Dijets In Dis At High Energiesmentioning

confidence: 99%

Section: Dijets In Dis At High Energiesmentioning

confidence: 99%

See 1 more Smart Citation

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries

2019

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“…Thus, Eq. (3.1) generalizes JIMWLK evolution equation [26][27][28][29][30][31][32] to the full density matrix.…”

Section: )mentioning

confidence: 99%

The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional

Armesto

Domínguez

Kovner

et al. 2019

J. High Energ. Phys.

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We introduce the notion of the Color Glass Condensate (CGC) density matrixρ. This generalizes the concept of probability density for the distribution of the color charges in the hadronic wave function and is consistent with understanding the CGC as an effective theory after integration of part of the hadronic degrees of freedom. We derive the evolution equations for the density matrix and show that the JIMWLK evolution equation arises here as the evolution of diagonal matrix elements ofρ in the color charge density basis. We analyze the behavior of this density matrix under high energy evolution and show that its purity decreases with energy. We show that the evolution equation for the density matrix has the celebrated Kossakowsky-Lindblad form describing the non-unitary evolution of the density matrix of an open system. Additionally, we consider the dilute limit and demonstrate that, at large rapidity, the entanglement entropy of the density matrix grows linearly with rapidity according to d dy Se = γ, where γ is the leading BFKL eigenvalue. We also discuss the evolution ofρ in the saturated regime and relate it to the Levin-Tuchin law and find that the entropy again grows linearly with rapidity, but at a slower rate. By analyzing the dense and dilute regimes of the full density matrix we are able to establish a duality between the regimes. Finally we introduce the Wigner functional derived from this density matrix and discuss how it can be used to determine the distribution of color currents, which may be instrumental in understanding dynamical features of QCD at high energy.

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“…The crucial feature of the CGC wave function is that the soft gluon part of the wave function is nontrivial due to the presence of the valence color charges. The dependence of this wave function on energy is described by the JIMWLK evolution equation [15][16][17][18][19][20][21][22][23][24][25]. This entanglement entropy between the soft and valence degrees of freedom was investigated in [1].…”

Section: Introductionmentioning

confidence: 99%

Entanglement entropy, entropy production and time evolution in high energy QCD

2019

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Working in the framework of the Color Glass Condensate effective theory of high energy QCD, we revisit the momentum space entanglement entropy of the soft gluons produced in high energy dilutedense collisions. We extend the work of [1] by considering entropy produced in a single event. This entropy arises due to decoherence of eigenstates with different energies during the time evolution after the collisions with the target. We define it rigorously as the entanglement entropy of the produced system with the experimental apparatus. We compute the time dependent single event entropy in the limit of weak projectile field. Further we compute the entropy for the ensemble of events defined by the McLerran-Venugopalan model for the projectile wave function. Interestingly the entropy of the ensemble has a much weaker time dependence than the entropy in any single event. We attribute this feature to the so called monogamy of entanglement.

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Sphaleron transition rate in the presence of dynamical fermions

Cited by 13 publications

References 32 publications

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries

Measuring the Weizsäcker-Williams distribution of linearly polarized gluons at an electron-ion collider through dijet azimuthal asymmetries

The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional

Entanglement entropy, entropy production and time evolution in high energy QCD

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