129 citations · 642 across the 21 of their papers we have counts for
9 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…
On the Virial Series for a Gas of Particles with Uniformly Repulsive Pairwise Interaction
David Brydges, Domingos H. U. Marchetti
The pressure of a gas of particles with a uniformly repulsive pair interaction in a finite container is shown to satisfy (exactly as a formal object) a "viscous" Hamilton-Jacobi (H…
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. V. A single renormalisation group step
David C. Brydges, Gordon Slade
This paper is the fifth in a series devoted to the development of a rigorous renormalisation group method applicable to lattice field theories containing boson and/or fermion field…
A renormalisation group method. IV. Stability analysis
David C. Brydges, Gordon Slade
This paper is the fourth in a series devoted to the development of a rigorous renormalisation group method for lattice field theories involving boson fields, fermion fields, or bot…