3 papers
math-ph2026
A Concentration of Measure Phenomenon in the Principal Chiral Model
Tamer Tlas
We utilize the concentration of measure phenomenon to study the large limit of the principal chiral model. The partition function in this limit is demonstrated to be tha…
math-ph2026
A Concentration of Measure Phenomenon in Lattice Yang-Mills
Tamer Tlas
We demonstrate that the pushforward of the product of Haar measures by the lattice Yang-Mills action concentrates as a Gaussian. It is also sketched how, using this fact, one can r…
math-ph2025
On the Preservation of Quasilocality by the Integration-Out Transformation
Tamer Tlas
We demonstrate that the integration-out step of the renormalization group transformation preserves the quasilocality of the effective action. This is shown in the case of a single,…