2010/01/12 by Silvio Franz, Giorgio Parisi, Franz, Silvio +5
Materials Science · Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Glass properties and applications #Material Dynamics and Properties #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1001.1746
openalex publication_date 2010/01/12 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
In this letter we show how to perform a systematic perturbative approach for\nthe mode-coupling theory. The results coincide with those obtained via the\nreplica approach. The upper critical dimension turns out to be always 8 and the\ncorrelations have a double pole in momentum space in perturbations theory.\nNon-perturbative effects are found to be very important. We suggest a possible\nframework to compute these effects.\n