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A study of relative velocity statistics in Lagrangian perturbation theory with PINOCCHIO
cosmology large-scale structure, methods analytical numerical
2010/11/11
Subject of this paper is a careful and detailed analysis of the PINOCCHIO algorithmfor studying
the relative velocity statistics of merging haloes in Lagrangian perturbation theory. Given
a cosmolog...
Improved automated lattice perturbation theory in background field gauge
perturbation theory field gauge
2010/11/17
We present an algorithm to automatically derive Feynman rules for lattice perturbation theory in background field gauge. Vertices with an arbitrary number of both background and quantum legs can be d...
Axial and electromagnetic observables of hyperons in 2-flavor chiral perturbation theory
Axial electromagnetic observables of hyperons 2-flavor chiral perturbation theory
2011/1/7
Two-flavor chiral expansions provide a useful perturbative framework to study hadron properties.
Such expansions should exhibit marked improvement over the conventional three-flavor chiral
expansion...
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
Dirichlet heat kernel fractional Laplacian gradient perturbation
2010/11/19
Suppose $d\geq 2$ and $\alpha \in (1, 2)$. Let $D$ be a bounded $C^{1,1}$ open set in $R^d$ and $b$ an $R^d$-valued function on $R^d$ whose components are in a certain Kato class of the rotationally ...
Electromagnetic Corrections in Staggered Chiral Perturbation Theory
Electromagnetic Corrections Staggered Chiral Perturbation Theory
2011/1/14
To reduce errors in light-quark mass determinations, it is now necessary to consider electromagnetic contributions to light-meson masses. Calculations using staggered quarks and quenched photons are c...
Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries
Perturbation Theory Presence of Absorbing Boundaries
2010/11/25
Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations
hx(t1)x(t2)i = Dt2H 1 + t2H 2 jt1 t2j2H, where H, with 0 < H < 1 is called the Hu...
Improved automated lattice perturbation theory in background field gauge
Improved automated lattice perturbation theory background field gauge
2011/1/14
We present an algorithm to automatically derive Feynman rules for lattice perturbation theory in background field gauge.
A non-perturbative method which can go beyond the weak coupling perturbation theory is introduced. Essential idea is to formulate a set of exact differential equations as a function of the coupling s...
Waterfall field in hybrid inflation and curvature perturbation
Cosmology and Extragalactic Astrophysics (astro-ph.CO)
2011/1/6
We study carefully the contribution of the waterfall field to the curvature perturbation at the end of hybrid inflation. In particular we clarify the parameter dependence analytically under reasonable...
f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
Cosmology and Extragalactic Astrophysics (astro-ph.CO) General Relativity and Quantum Cosmology (gr-qc) High Energy Physics - Theory (hep-th)
2010/12/28
We investigate f(T) cosmology in both the background, as well as in the perturbation level, and we present the general formalism for reconstructing the equivalent one-parameter family of f(T) models f...
Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
Asymptotics of orthogonal polynomials and point perturbation on the unit circle
point masses bounded variation asymptotics of orthog-onal polynomials Kooman’s theorem
2010/12/1
In the first five sections, we deal with the class of probability measures with asymptotically periodic Verblunsky co-efficients of p-type bounded variation. The goal is to investigate
the perturbati...
Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients
point perturbation bounded variation asymptotics of orthogonal polynomials
2010/12/1
We present the construction of a probability measure d with compact support on R such that adding a discrete pure point results in changes in the recursion coecients without expo-
nential decay.
An asymptotic equivalence between two frame perturbation theorems
asymptotic equivalence two frame perturbation theorems
2010/12/3
In this paper, two stability results regarding exponential frames are compared.The theorems, (one proven herein, and the other in [3]), each give a constant such that if supn∈Z kenk¥ < C, and (eih...
Computing singularities of perturbation series
Computing singularities perturbation series
2010/10/20
Many properties of current ab initio approaches to the quantum many-body problem, both perturbational or otherwise, are related to the singularity structure of Rayleigh–Schr¨odinger perturbation theor...