Martin Lohmann

activity

20172020

collaborators

Showing math-phShow all

3 papers · 1 filter

math-ph2019

Three-dimensional tricritical spins and polymers

Roland Bauerschmidt, Martin Lohmann, Gordon Slade

We consider two intimately related statistical mechanical problems on $Z^{3}$ : (i) the tricritical behaviour of a model of classical unbounded $n$ -component continuous spins…

math-ph2018

Critical exponent for the magnetization of the weakly coupled $ϕ_{4}^{4}$ model

Martin Lohmann

We consider the weakly coupled $ϕ^{4}$ theory on $Z^{4}$ , in a weak magnetic field $h$ , and at the chemical potential $ν_{c}$ for which the theory is critical if $h = 0$ . We pro…

math-ph2017

Critical two-point function for long-range $O (n)$ models below the upper critical dimension

Martin Lohmann, Gordon Slade, Benjamin C. Wallace

We consider the $n$ -component $∣ φ ∣^{4}$ lattice spin model ( $n \geq 1$ ) and the weakly self-avoiding walk ( $n = 0$ ) on $Z^{d}$ , in dimensions $d = 1, 2, 3$ . We study long-range model…

Three-dimensional tricritical spins and polymers

Critical exponent for the magnetization of the weakly coupled ϕ44​ model

Critical two-point function for long-range O(n) models below the upper critical dimension

Critical exponent for the magnetization of the weakly coupled $ϕ_{4}^{4}$ model

Critical two-point function for long-range $O (n)$ models below the upper critical dimension