Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Cao, Sky"'
We give a sum over weighted planar surfaces formula for Wilson loop expectations in the large-$N$ limit of strongly coupled lattice Yang-Mills theory, in any dimension. The weights of each surface are simple and expressed in terms of products of sign
Externí odkaz:
http://arxiv.org/abs/2411.11676
Autor:
Bringmann, Bjoern, Cao, Sky
We prove the global well-posedness of the dynamical sine-Gordon model up to the third threshold, i.e., for parameters $\beta^2 < 6\pi$. The key novelty in our approach is the introduction of the so-called resonant equation, whose solution is entirely
Externí odkaz:
http://arxiv.org/abs/2410.15493
Autor:
Cao, Sky, Sheffield, Scott
Fractional Gaussian fields are scalar-valued random functions or generalized functions on an $n$-dimensional manifold $M$, indexed by a parameter $s$. They include white noise ($s = 0$), Brownian motion ($s=1, n=1$), the 2D Gaussian free field ($s =
Externí odkaz:
http://arxiv.org/abs/2406.19321
Autor:
Bringmann, Bjoern, Cao, Sky
We prove the global well-posedness of the stochastic Abelian-Higgs equations in two dimensions. The proof is based on a new covariant approach, which consists of two parts: First, we introduce covariant stochastic objects. The covariant stochastic ob
Externí odkaz:
http://arxiv.org/abs/2403.16878
We study Wilson loop expectations in lattice Yang-Mills models with a compact Lie group $G$. Using tools recently introduced in a companion paper, we provide alternate derivations, interpretations, and generalizations of several recent theorems about
Externí odkaz:
http://arxiv.org/abs/2307.06790
Autor:
Bringmann, Bjoern, Cao, Sky
We consider the stochastic Yang-Mills heat equation on the two-dimensional torus. Using regularity structures, Chandra, Chevyrev, Hairer, and Shen previously proved both the local well-posedness and gauge-covariance of this model. In this article, we
Externí odkaz:
http://arxiv.org/abs/2305.07197
Autor:
Adhikari, Arka, Cao, Sky
In the setting of lattice gauge theories with finite (possibly non-Abelian) gauge groups at weak coupling, we prove exponential decay of correlations for a wide class of gauge invariant functions, which in particular includes arbitrary functions of W
Externí odkaz:
http://arxiv.org/abs/2202.10375
Autor:
Cao, Sky, Chatterjee, Sourav
It is believed that Euclidean Yang-Mills theories behave like the massless Gaussian free field (GFF) at short distances. This makes it impossible to define the main observables for these theories - the Wilson loop observables - in dimensions greater
Externí odkaz:
http://arxiv.org/abs/2111.12813
Autor:
Cao, Sky, Chatterjee, Sourav
We construct local solutions to the Yang-Mills heat flow (in the DeTurck gauge) for a certain class of random distributional initial data, which includes the 3D Gaussian free field. The main idea, which goes back to work of Bourgain as well as work o
Externí odkaz:
http://arxiv.org/abs/2111.10652
Autor:
Cao, Sky, Bickel, Peter J.
Recently, Chatterjee has introduced a new coefficient of correlation which has several natural properties. In particular, the coefficient attains its maximal value if and only if one variable is a measurable function of the other variable. In this pa
Externí odkaz:
http://arxiv.org/abs/2008.10177