Fluctuations of the gluon distribution from the small- x effective action

Dumitru, Adrian; Skokov, Vladimir

doi:10.1103/PhysRevD.96.056029

Title: Fluctuations of the gluon distribution from the small- $x$ effective action

Journal Article · Fri Sep 29 00:00:00 EDT 2017 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.96.056029· OSTI ID:1425493

Dumitru, Adrian ^[1]; Skokov, Vladimir ^[2]

City Univ. (CUNY), NY (United States). Baruch College. Dept. of Natural Science, and The Graduate School and Univ. Center
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center

The computation of observables in high-energy QCD involves an average over stochastic semiclassical small-x gluon fields. The weight of various configurations is determined by the effective action. We introduce a method to study fluctuations of observables, functionals of the small-x fields, which does not explicitly involve dipoles. We integrate out those fluctuations of the semiclassical gluon field under which a given observable is invariant. Thereby we obtain the effective potential for that observable describing its fluctuations about the average. Here, we determine explicitly the effective potential for the covariant gauge gluon distribution both for the McLerran-Venugopalan (MV) model and for a (nonlocal) Gaussian approximation for the small-x effective action. This provides insight into the correlation of fluctuations of the number of hard gluons versus their typical transverse momentum. We find that the spectral shape of the fluctuations of the gluon distribution is fundamentally different in the MV model, where there is a pileup of gluons near the saturation scale, versus the solution of the small-x JIMWLK renormalization group, which generates essentially scale-invariant fluctuations above the absorptive boundary set by the saturation scale.

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN

Grant/Contract Number:: SC0012704; FG02-09ER41620; SC0002307

OSTI ID:: 1425493

Alternate ID(s):: OSTI ID: 1395593

Report Number(s):: RBRC-1238; BNL-203300-2018-JAAM; RBRC-1233; BNL-200010-2018-JAAM; PRVDAQ; TRN: US1802120

Journal Information:: Physical Review D, Vol. 96, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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