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This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In…

High Energy Physics - Theory · Physics 2025-02-19 J. L. Alonso , C. Bouthelier-Madre , J. Clemente-Gallardo , D. Martínez-Crespo

In Part I of this series, we presented the microscopic approach to Souslin-tree constructions, and argued that all known $\diamondsuit$-based constructions of Souslin trees with various additional properties may be rendered as applications…

Logic · Mathematics 2021-04-06 Ari Meir Brodsky , Assaf Rinot

Based on the concept of weakly meet $s_{Z}$-continuouity put forward by Xu and Luo in \cite{qzm}, we further prove that if the subset system $Z$ satisfies certain conditions, a poset is $s_{Z}$-continuous if and only if it is weakly meet…

General Topology · Mathematics 2023-06-22 Huijun Hou , Qingguo Li

In this paper, we study the notion of a generically extendible cardinal, which is a generic version of an extendible cardinal. We prove that the generic extendibility of $\omega_1$ or $\omega_2$ has small consistency strength, but that of a…

Logic · Mathematics 2024-11-26 Toshimichi Usuba

We analyze weak convergence on CAT(0) spaces and the existence and properties of corresponding weak topologies.

Metric Geometry · Mathematics 2023-08-01 Alexander Lytchak , Anton Petrunin

This work confirms the stability of a class of domain wall lattice models that can produce accelerated cosmological expansion, with pressure to density ratio $w=-1/3$ at early times, and with $w=-2/3$ at late times when the lattice scale…

High Energy Physics - Phenomenology · Physics 2009-12-01 Brandon Carter

We show that certain type of tree forcings, including Sacks forcing, increases the covering of the strong measure zero ideal $\mathcal{SN}$. As a consequence, in Sacks model, such covering number is equal to the size of the continuum, which…

Logic · Mathematics 2019-02-06 Miguel A. Cardona , Diego A. Mejía , Ismael E. Rivera-Madrid

We show that it is consistent from an inaccessible cardinal that classical Namba forcing has the weak $\omega_1$-approximation property. In fact, this is the case if $\aleph_1$-preserving forcings do not add cofinal branches to…

Logic · Mathematics 2025-03-24 Maxwell Levine

We prove a criterion for the geometric and algebraic finiteness properties of vertex stabilisers of $G$-CW-complexes, given the finiteness properties of the group $G$ and of the stabilisers of positive dimensional cells. This generalises a…

Group Theory · Mathematics 2025-02-21 Kevin Li , Luis Jorge Sánchez Saldaña

By proving that several new complexes of embedded disks are highly connected, we obtain several new homological stability results. Our main result is homological stability for topological chiral homology on an open manifold with…

Algebraic Topology · Mathematics 2016-02-08 Alexander Kupers , Jeremy Miller

We argue that conformal invariance is a common thread linking several scalar effective field theories that appear in the double copy and scattering equations. For a derivatively coupled scalar with a quartic ${\cal O}(p^4)$ vertex,…

High Energy Physics - Theory · Physics 2021-01-01 Clifford Cheung , James Mangan , Chia-Hsien Shen

The main goal of the present paper is two-fold. First we extend the theory of toroidal embeddings introduced by Kempf, Knudsen, Mumford and Saint-Donat to the class of toroidal varieties with stratifications (which is the main body of the…

Algebraic Geometry · Mathematics 2016-09-07 Jaroslaw Wlodarczyk

In this paper we study the behavior of dissipative solitons in systems with high order nonlinear dissipation and show how they cannot survive under the effect of trapping potentials both of rigid wall type or asymptotically increasing ones.…

Pattern Formation and Solitons · Physics 2009-11-11 Rosa Pardo , Victor M. Perez-Garcia

The main aim of this paper is to define a weakest topology $\sigma$ on a linear topological space $(E, \tau)$ such that each $\delta$-continuous functional on $(E, \tau)$ is $\delta$-continuous functional on $(E, \sigma)$ and to find out…

General Topology · Mathematics 2023-09-06 Sanjay Roy

Three-dimensional topological insulators are classified into "strong" (STI) and "weak" (WTI) according to the nature of their surface states. While the surface states of the STI are topologically protected from localization, this does not…

Materials Science · Physics 2012-07-04 Zohar Ringel , Yaacov E. Kraus , Ady Stern

We show that splitting forcing does not have the weak Sacks property below any condition, answering a question of Laguzzi, Mildenberger and Stuber-Rousselle. We also show how some partition results for splitting trees hold or fail and we…

Logic · Mathematics 2021-06-15 Jonathan Schilhan

The non-trivialness of a topological insulator (TI) is characterized either by a bulk topological invariant or by the existence of a protected metallic surface state. Yet, in realistic samples of finite size this non-trivialness does not…

Mesoscale and Nanoscale Physics · Physics 2013-01-08 Ken-Ichiro Imura , Mayuko Okamoto , Yukinori Yoshimura , Yositake Takane , Tomi Ohtsuki

A tunnelling conductivity between a heavy fermion metal and a simple metallic point is considered. We show that at low temperatures this conductivity can be noticeably dissymmetrical with respect to the change of voltage bias. The…

Strongly Correlated Electrons · Physics 2009-11-11 V. R. Shaginyan

With the recent observation of graphene-like Landau levels at the surface of topological insulators, the possibility of fractional quantum Hall effect, which is a fundamental signature of strong correlations, has become of interest. Some…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 Ashley M. DaSilva

A proof will be presented that the existence of a non-trivial $\Sigma_1$-elementary embedding $j: V_{\lambda+3} \prec V_{\lambda+3}$ is inconsistent with $\textsf{ZF}$. Sections 1 and 2 shall review various important contributions from the…

Logic · Mathematics 2026-02-13 Rupert McCallum