Pauli-type coupling between spinors and curved spacetime
December 23, 2018
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Physics
General Relativity and Quantum Cosmology
Classical Physics
General Relativity and Quantum Cosmology
Classical Physics
In this study we prove that the Pauli interaction -- which is associated with
a length parameter -- emerges when the minimal coupling recipe is applied to
the non-degenerate version of the Dirac Lagrangian. The conventional Dirac
Lagrangian...
Asymptotic distribution and convergence rates of stochastic algorithms
for entropic optimal transportation between probability measures
December 21, 2018
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Mathematics
Statistics
Statistics Theory
Statistics Theory
Statistics Theory
Statistics Theory
This paper is devoted to the stochastic approximation of entropically
regularized Wasserstein distances between two probability measures, also known
as Sinkhorn divergences. The semi-dual formulation of such regularized optimal
transportati...
Boson Sampling with Gaussian input states: toward efficient scaling and
certification
December 21, 2018
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Physics
Quantum Physics
A universal quantum computer of large scale is not available yet, however,
intermediate models of quantum computation would still permit demonstrations of
a quantum computational advantage over classical computing and could challenge
the Ex...
Parton distribution functions from scalar light-front parton gas model
December 21, 2018
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Physics
Nuclear Theory
We model the structure of hadrons by a confined parton gas with light-front
kinematics. These partons are treated as classical spin-zero particles confined
inside the hadron with inter-parton collisions as their only interaction. The
microc...
Lectures on 4d N=1 dynamics and related topics
December 21, 2018
Physics
High Energy Physics - Theory
This lecture series consists of mostly independent three parts: Part 1: a
tour of basic 4d N=1 supersymmetric dynamics, covering the pure super
Yang-Mills, the Seiberg duality for classical groups, the supersymmetric index
on S^3, and the a...
A toy model solved by statistical mechanics for teaching reaction
kinetics beyond ideality
December 19, 2018
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Physics
Chemical Physics
Statistical Mechanics
Chemical Physics
Statistical Mechanics
Chemical equilibrium is fully characterized by thermodynamics, while the
rates of chemical reactions can be calculated for ideal solutions by using
mass-action equations. The evaluation of the rates of reactions in a non-ideal
system is ins...
First-order invariants of differential 2-forms
December 18, 2018
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Mathematics
Differential Geometry
Differential Geometry
Let M be a smooth manifold of dimension 2n, and let OM be the dense
open subbundle in ∧2T∗M of 2-covectors of maximal rank. The
algebra of DiffM-invariant smooth functions of first order on
$O_{M...
Causality: a decision theoretic approach
December 18, 2018
Economics
Theoretical Economics
We propose a decision theoretic framework that allows a decision maker to
express its causal model of the world. We extend the model of Savage (1972) by
allowing the decision maker (DM) to choose policy interventions prior to
choosing acts ...
Zero-Inflated Autoregressive Conditional Duration Model for Discrete
Trade Durations with Excessive Zeros
December 18, 2018
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Quantitative Finance
Statistics
Statistical Finance
Methodology
In finance, durations between successive transactions are usually modeled by
the autoregressive conditional duration model based on a continuous
distribution omitting zero values. Zero or close-to-zero durations can be
caused by either spli...
Chiral QCD phase in equilibrium with Hadron Gas and the location of the
critical point
December 17, 2018
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Physics
Nuclear Theory
High Energy Physics - Phenomenology
Nuclear Theory
High Energy Physics - Phenomenology
We develop a description of the equation of state of QCD matter with restored
chiral symmetry, which is in thermal and chemical equilibrium with the hadronic
phase. The hadron gas is described with thermodynamically consistent volume
correc...