The semiclassical Einstein equations are solved to first order in ǫ = h̄/M for the case of an extreme or nearly extreme Reissner-Nordström black hole perturbed by the vacuum stress-energy of quantized free fields. It is shown that the perturbed solution at first order is not unique; there exists a sequence of solutions with varying values of the position of the event horizon, rh. The smaller the...

We present a zero decomposition theorem and an algorithm based on Wu’s method, which computes a zero decomposition with multiplicity for a given zerodimensional polynomial system. If the system satisfies some condition, the zero decomposition is of triangular form.

The zero modes and zero resonances of the Dirac operator H = α ·D+Q(x) are discussed, where α = (α1, α2, α3) is the triple of 4× 4 Dirac matrices, D = (1/i)∇x, and Q(x) = `

Modern web browsers are ubiquitously used by billions of users, connecting them to the world wide web. From the other side, web browsers do not only provide a unified interface for businesses to reach customers, but they also provide a unified interface for malicious actors to reach users. The highly optimized scripting language JavaScript plays an important role in the modern web, as well as f...

We present simulation results of the (2 + 1)d four-fermion model with a baryon chemical potential µ. We examine temporal correlation functions of the vector me-son, and find evidence of phonon-like behavior characterised by a linear dispersion relation in the long wavelength limit. We also discuss the consistency of our numerical results with analytical solutions to the Boltzmann equation corre...

We present recent results on thermodynamics of QCD with almost physical light quark masses and a physical strange quark mass value. These calculations have been performed with an improved staggerd action especially designed for finite temperature lattice QCD. In detail we present a calculation of the transition temperature, using a combined chiral and continuum extrapolation. Furthermore we pre...

We develop general techniques that can be used to prove the zero knowledge property of most of the known zero knowledge protocols. Those techniques consist in reducing the circuit indistinguishability of the output distributions of two probabilistic Turing machines to the indistinguishability of the output distributions of certain subroutines.

in this paper a particular case of z-ideals, called strongly z-ideal, is defined by introducing zero sets in pointfree topology. we study strongly z-ideals, their relation with z-ideals and the role of spatiality in this relation. for strongly z-ideals, we analyze prime ideals using the concept of zero sets. moreover, it is proven that the intersection of all zero sets of a prime ideal of c(l),...

‎In this paper‎, ‎we characterize and find the number of subdirectly‎ ‎irreducible acts over some classes of semigroups‎, ‎such as zero‎ ‎semigroups‎, ‎right zero semigroups‎ ‎and strong chain of left zero semigroups.