The use of different perspectives on a problem is a very powerful principle in statistical physics, and has been especially important in mathematical physics. I will illustrate this theme with old and recent applications. These include the interpretation of QFTs at imaginary time as statistical fields, the relation of statistical fields to…

In the Thouless-Anderson-Palmer approach to mean-field spin glasses, the free energy is presented as the infimum of a functional which TAP defined over the space of all possible magnetization vectors, subject to a convergence condition. Its self-averaging over exponentially many solutions at low temperature seems to be taken for granted, though…

Although lattice Yang-Mills theory is easy to rigorously define, the construction of a satisfactory continuum theory is a major open problem in dimension d ≥ 3. Such a theory should assign a Wilson loop expectation to each suitable collection L of loops in d-dimensional space. One classical approach is to try to represent this expectation as a…

The Adler-Bardeen non-renormalization is a basic property of anomalies with important physical implications, ranging from particle physics to condensed matter. We prove its validity in lattice models at a non-perturbative level, focusing in particular on fermion-vector boson models in 3+1 and 1+1 dimensions. The proof relies on regularity…

I will give an account of the recent progress in probability and in number theory to understand the large values of the zeta function on the critical line, especially in short intervals. The problems have interesting connections to statistical mechanics of disordered systems, both in their interpretations…

In this talk we explain recent results relating the six-vertex model and the Kardar-Parisi-Zhang (KPZ) universality class. In particular, we describe how the six-vertex model can be used to analyze stochastic interacting particle systems, such as asymmetric exclusion processes, and how infinite-volume pure…

## By Year

## By Category

- Astroparticle Seminar
- Atomic Physics Seminar
- Biophysics Seminar
- Condensed Matter Seminar
- Dark Cosmo Seminar
- Distinguished Lecture Series
- Donald R. Hamilton Colloquium
- Donald R. Hamilton Lecture
- Equity Diversity and Inclusion Initiative
- FPO
- Gravity Group Seminar
- Gravity Initiative Seminar
- High Energy Experiment Seminar
- High Energy Theory Seminar
- Mathematical Physics Seminar
- Particle Physics Seminar
- PCTS Seminar
- Phenomenology Seminar
- Princeton Quantum Colloquium
- Quantum Initiative
- Special Event
- Special Seminar
- Statistical Mechanics Seminar