1998
DOI: 10.1103/physrevd.59.014014
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Wilson renormalization group for lowxphysics: Towards the high density regime

Abstract: We continue the study of the effective action for low x physics based on a Wilson renormalization group approach. We express the full nonlinear renormalization group equation in terms of the average value and the average fluctuation of extra color charge density generated by integrating out gluons with intermediate values of x. This form clearly exhibits the nature of the phenomena driving the evolution and should serve as the basis of the analysis of saturation effects at high gluon density at small x. * On l… Show more

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Cited by 906 publications
(582 citation statements)
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References 16 publications
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“…In the opposite regime, where the projectile is dense, but the target is dilute the relevant evolution is given by JIMWLK Hamiltonian [39][40][41][42][43][44][45][46][47]. It is obtained from H KLW M IJ by the dense-dilute duality (DDD) transformation [50,51] …”
Section: Jhep04(2014)075mentioning
confidence: 99%
See 1 more Smart Citation
“…In the opposite regime, where the projectile is dense, but the target is dilute the relevant evolution is given by JIMWLK Hamiltonian [39][40][41][42][43][44][45][46][47]. It is obtained from H KLW M IJ by the dense-dilute duality (DDD) transformation [50,51] …”
Section: Jhep04(2014)075mentioning
confidence: 99%
“…Nevertheless, the H RFT derived in [1] reduces to the two known limits -JIMWLK [39][40][41][42][43][44][45][46][47] and KLWMIJ [48] -in the approximation of a dilute target or dilute projectile respectively. We have argued that it adequately takes into account the Pomeron loops in the situation of scattering of two dilute objects at very high energy.…”
Section: Introductionmentioning
confidence: 99%
“…Non-linear small-x evolution resumming powers of α s Y ∼ α s ln s can be included into the correlators of the Wilson lines through the Balitsky-Kovchegov (BK) [49][50][51][52][53] and Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) [40][41][42][43][44][45][46][47][48] evolution equations. Thus expressing the interaction with the target in terms of the Wilson lines (16) allows for several different levels of approximation for this interaction.…”
Section: B Spin Asymmetry and C-parity In Quark Productionmentioning
confidence: 99%
“…At high virtualities Q 2 and moderately low x, such evolution is described by linear DGLAP [18][19][20] or BFKL [21][22][23] equations, suitable for a dilute parton regime. At x 10 −2 , and for Q values below an energy-dependent saturation momentum Q s , hadrons are however more appropriately described as dense, saturated parton systems in the context of the "Colour-Glass Condensate" (CGC) [24] effective theory with the corresponding non-linear JIMWLK [25][26][27] [13]. Bottom: Sequence of significant events in the early Universe until the Big Bang Nucleosynthesis epoch: electroweak and QCD transitions, decoupling of several SM and hypothetical particles, e ± annihilation, etc.…”
Section: Parton Structure and Evolution At Small-xmentioning
confidence: 99%