Analysis and Mathematical Physics
On the Global Well-Posedness of the Stochastic Yang-Mills-Higgs equations in Two dimensions
The Yang-Mills-Higgs (YMH) model plays a central role in several areas of mathematics, including analysis, geometry, and probability theory. In this talk, we implement the stochastic quantization procedure for the YMH model in two dimensions. That is, we construct the two-dimensional YMH measure by proving global well-posedness and uniform-in-time bounds for the two-dimensional stochastic YMH equations. As part of our proof, we first discuss covariant stochastic objects. Then, we discuss a decay mechanism for the stochastic YMH equations near unstable Yang-Mills connections. This is joint work with S. Cao, M. Hairer, and W. Zhao.
Date & Time
April 14, 2026 | 2:30pm – 3:30pm
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04/14/2026 14:30
04/14/2026 15:30
Analysis and Mathematical Physics
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Topic: On the Global Well-Posedness of the Stochastic Yang-Mills-Higgs equations in Two dimensions
Speakers: Bjoern Bringmann, Princeton University
More: https://www.ias.edu/math/events/analysis-and-mathematical-physics-81
The Yang-Mills-Higgs (YMH) model plays a central role in several areas
of mathematics, including analysis, geometry, and probability theory.
In this talk, we implement the stochastic quantization procedure for
the YMH model in two dimensions. That is, we construct the
two-dimensional YMH measure by proving global well-posedness and
uniform-in-time bounds for the two-dimensional stochastic YMH
equations. As part of our proof, we first discuss covariant stochastic
objects. Then, we discuss a decay mechanism for the stochastic YMH
equations near unstable Yang-Mills connections. This is joint work
with S. Cao, M. Hairer, and W. Zhao.
Simonyi Hall 101 and Remote Access
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Location
Simonyi Hall 101 and Remote AccessSpeakers
Bjoern Bringmann, Princeton University