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The process of adsorption on a planar wall of long-flexible polymer chains inthe medium with quenched long-range correlated disorder is investigated. Wefocus on the case of correlations between defects or impurities that decayaccording to the power-low $ x^{-a}$ for large distances $x$, where ${\bfx}=({\bf r},z)$. Field theoretical approach in $d=4-\epsilon$ and directly in$d=3$ dimensions up to one-loop order for the semi-infinite $|\phi|^4$ m-vectormodel (in the limit $m\to 0$) with a planar boundary is used. The whole set ofsurface critical exponents at the adsorption threshold $T=T_a$, which separatesthe nonadsorbed region from the adsorbed one is obtained. Moreover, wecalculate the crossover critical exponent $\Phi$ and the set of exponentsassociated with them. We perform calculations in a double $\epsilon=4-d$ and$\delta=4-a$ expansion and also for a fixed dimension $d=3$, up to one-looporder for different values of the correlation parameter $2<a\le 3$.  The obtained results indicate that for the systems with long-range correlatedquenched disorder the new set of surface critical exponents arises. All thesurface critical exponents depend on $a$. Hence, the presence of long-rangecorrelated disorder influences the process of adsorption of long-flexiblepolymer chains on a wall in a significant way.Comment: 4 figures, 2 table

Critical adsorption of polymers in a medium with long-range correlated quenched disorder