3 papers
math-ph2026
On the Leading Order Term of the Lattice Yang-Mills Free Energy
Christian Brennecke
In \cite{Cha1}, the leading order term of the free energy of lattice Yang-Mills theory in was determined, for every $N\geq…
math.PR2024
On the Replica Symmetry of a Variant of the Sherrington-Kirkpatrick Spin Glass
Christian Brennecke, Adrien Schertzer
We consider i.i.d. Ising spins with mean whose interactions are described by a Sherrington-Kirkpatrick Hamiltonian with a quartic correction. This model was recen…
math.PR2024
Spin Covariance Fluctuations in the SK Model at High Temperature
Christian Brennecke, Adrien Schertzer, Chen Van Dam
Based on \cite{H}, it is well known that the rescaled two point correlation functions \[ \sqrt{N} \langle Ï_i ; Ï_j\rangle = \sqrt{N} \big( \langle Ï_i Ï_j\rangle -\langle Ï_i…