Candidate Phases for SU(2) Adjoint QCD4 with Two Flavors from
N=2 Supersymmetric Yang-Mills Theory
June 25, 2018
|
Physics
High Energy Physics - Theory
Strongly Correlated Electrons
High Energy Physics - Phenomenology
We study four-dimensional adjoint QCD with gauge group SU(2) and two Weyl
fermion flavors, which has an SU(2)R chiral symmetry. The infrared behavior
of this theory is not firmly established. We explore candidate infrared phases
by embed...
Approximating the shortest path problem with scenarios
June 23, 2018
|
Computer Science
Data Structures and Algorithms
This paper discusses the shortest path problem in a general directed graph
with n nodes and K cost scenarios (objectives). In order to choose a
solution, the min-max criterion is applied. The min-max version of the problem
is hard to ap...
In-medium loop corrections and longitudinally polarized gauge bosons in
high-energy showers
June 22, 2018
|
Physics
High Energy Physics - Phenomenology
Nuclear Theory
The splitting processes of bremsstrahlung and pair production in a medium are
coherent over large distances in the very high energy limit, which leads to a
suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. We continue
study o...
Acyclicity in finite groups and groupoids
June 22, 2018
Mathematics
Computer Science
Group Theory
Discrete Mathematics
Combinatorics
We expound a concise construction of finite groups and groupoids whose Cayley
graphs satisfy graded acyclicity requirements. Our acyclicity criteria concern
cyclic patterns formed by coset-like configurations w.r.t. subsets of the
generator...
A note on Basis Problem in normed spaces
June 20, 2018
| |
Mathematics
Functional Analysis
In this work, we prove the criterion of Banach-Grunblum and the principle of
selection of Bessaga-Pe\l{}czy\'nski for normed spaces. As applications of
these results, we show the Principle of Selection of Bessaga-Pe\l{}czy\'nski
for normed ...
Minimum Quadratic Helicity States
June 19, 2018
| |
Physics
Mathematics
Fluid Dynamics
Solar and Stellar Astrophysics
Differential Geometry
Building on previous results on the quadratic helicity in
magnetohydrodynamics (MHD) we investigate particular minimum helicity states.
Those are eigenfunctions of the curl operator and are shown to constitute
solutions of the quasi-station...
Kiselyov's geometry
June 18, 2018
Mathematics
History and Overview
The book is a unique phenomenon in Russian geometry education. It was first
published in 1892; there have been more than 40 revised editions, and dozens of
millions of copies (by these parameters it is trailing only Euclid's Elements).
Ou...
Synthetic G-jet-structures in modal homotopy type theory
June 15, 2018
|
Mathematics
Differential Geometry
Algebraic Geometry
Category Theory
Differential Geometry
Algebraic Geometry
Category Theory
This article constructs the moduli stack of torsionfree G-jet-structures in
homotopy type theory with one monadic modality. This yields a construction of
this moduli stack for any ∞-topos equipped with any stable factorization
syst...
The fuzzy 4-hyperboloid Hn4 and higher-spin in Yang-Mills matrix
models
June 15, 2018
|
Physics
High Energy Physics - Theory
We consider the SO(4,1)-covariant fuzzy hyperboloid Hn4 as a solution
of Yang-Mills matrix models, and study the resulting higher-spin gauge theory.
The degrees of freedom can be identified with functions on classical H4
taking val...
The committee machine: Computational to statistical gaps in learning a
two-layers neural network
June 14, 2018
| | | | |
Statistics
Physics
Computer Science
Machine Learning
Computational Physics
Statistical Mechanics
Disordered Systems and Neural Networks
Machine Learning
Heuristic tools from statistical physics have been used in the past to locate
the phase transitions and compute the optimal learning and generalization
errors in the teacher-student scenario in multi-layer neural networks. In this
contribut...