We calculate the nucleon matrix element of Weinberg's dimension-6 CP-odd gluon operator fabc(F˜??)a(F??)b(F??)c in instanton vacuum. In leading order packing fraction, is effectively proportional to topological charge density (F˜??)a(F??)a, whose given by flavor-singlet axial and constrained U(1)A anomaly. The obtained substantially larger than other estimates, because strong localization nonpe...

We compute topological one-point functions of the chiral operator Tr φk in the maximally confining phase of N = 1 U(N) supersymmetric gauge theory, which is obtained from N = 2 theory by turning on a tree level superpotential W (Φ). Localization theorem for toric action allows us to express these one-point functions as polynomials in the equivariant parameter ~ and the parameter of instanton ex...

The present paper extends the landscape theory pioneered in [FM, ADFJM2, DFM] to tight-binding Schr\"odinger operator on $\Z^d$. In particular, we establish upper and lower bounds for integrated density of states terms counting function based upon localization landscape.

In communiations engineering, the effect of a slowly time-varying communication channel is commonly modeled as a superposition of different translations and modulations. In order to recover signals from the corresponding channel outputs, one first needs to understand how the channel acts on a signal. A mathematical model often used for the effect of such a channel is an operator with a bandlimi...

We study the quantum thermalization and information scrambling dynamics of an experimentally realizable spin model with homogeneous XX-type all-to-all interactions random local potentials. identify thermalization-localization transition by changing disorder strength, under a proper interaction strength. The in localization phase shows behaviors that are distinct from models. operator grows almo...