TY - JOUR

T1 - Bare pomeron in perturbative QCD and small x behavior of gluon distributions

AU - Collins, J. C.

AU - Kwieciǹski, J.

N1 - Funding Information:
This work was supportedin part by the US Departmenotf Energyu ndergrant number DE-FG02-85ER-4023a5n d by the National Science Foundationu nder grant numberP HY82-17853s,u pplementebdy funds from the NationalA eronautics and Space AdministrationJ.. C.C. would like to thank the Instituteo f Nuclear Physicsa t Krakow for its hospitalityh; erethe bulk of this work was done.

PY - 1989/4/10

Y1 - 1989/4/10

N2 - The solution of the integral equation describing the bare pomeron in perturbative QCD with asymptotic freedom corrections taken into account is studied. Upper and lower bounds for the bare pomeron intercept are obtained in terms of the QCD coupling constant at some large scale. The intercept is substantially above unity. After the connection with the operator product expansion is discussed, it is shown that the behavior of parton distribution functions at small x is governed by the intercept of the bare pomeron. Thus they are steeper than 1/x by a power of x.

AB - The solution of the integral equation describing the bare pomeron in perturbative QCD with asymptotic freedom corrections taken into account is studied. Upper and lower bounds for the bare pomeron intercept are obtained in terms of the QCD coupling constant at some large scale. The intercept is substantially above unity. After the connection with the operator product expansion is discussed, it is shown that the behavior of parton distribution functions at small x is governed by the intercept of the bare pomeron. Thus they are steeper than 1/x by a power of x.

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U2 - 10.1016/0550-3213(89)90032-1

DO - 10.1016/0550-3213(89)90032-1

M3 - Article

AN - SCOPUS:0000027639

SN - 0550-3213

VL - 316

SP - 307

EP - 320

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -