64 citations · 883 across the 36 of their papers we have counts for
5 papers · 1 filter
Scaling limits and critical behaviour of the 4-dimensional n-component spin model
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We consider the -component spin model on , for all , with small coupling constant. We prove that the susceptibility has a logarithmic correction…
Fluctuations in a kinetic transport model for quantum friction
Roland Bauerschmidt, Wojciech de Roeck, Jürg Fröhlich
We consider a linear Boltzmann equation that arises in a model for quantum friction. It describes a particle that is slowed down by the emission of bosons. We study the stochastic…
Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We prove that the susceptibility of the continuous-time weakly self-avoiding walk on , in the critical dimension , has a logarithmic correction to mean-field sca…
Critical two-point function of the 4-dimensional weakly self-avoiding walk
Roland Bauerschmidt, David C. Brydges, Gordon Slade
We prove decay of the critical two-point function for the continuous-time weakly self-avoiding walk on , in the upper critical dimension . This is a s…
A renormalisation group method. III. Perturbative analysis
Roland Bauerschmidt, David C. Brydges, Gordon Slade
This paper is the third in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or both…