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We calculate the two-point correlation function <x(t2)x(t1)> for a subdiffusive continuous time random walk in a parabolic potential, generalizing well-known results for the single-time statistics to two times. A closed analytical…

统计力学 · 物理学 2009-11-13 A. Baule , R. Friedrich

We present a general method that allows to estimate the low-energy constants of Chiral Perturbation Theory up to next-to-leading corrections in the 1/N(C) expansion, that is, keeping full control of the renormalization scale dependence. As…

高能物理 - 唯象学 · 物理学 2008-11-26 Ignasi Rosell

We present first results for two-baryon correlation functions, computed using $N_f=2$ flavours of O($a$) improved Wilson quarks, with the aim of explaining potential dibaryon bound states, specifically the H-dibaryon. In particular, we use…

高能物理 - 格点 · 物理学 2013-11-18 Anthony Francis , Chuan Miao , Thomas D. Rae , Hartmut Wittig

This paper is designed to be a practical tool for constructing and investigating two-point correlation functions in defect conformal field theory, directly in physical space, between any two bulk primaries or between a bulk primary and a…

高能物理 - 理论 · 物理学 2021-05-12 Christopher P. Herzog , Abhay Shrestha

Quantum Chromodynamics on a lattice with Wilson fermions and a chirally twisted mass term for two degenerate quark flavours is considered in the framework of chiral perturbation theory. The pion mass and decay constant are calculated in…

高能物理 - 格点 · 物理学 2010-12-23 Gernot Münster , Christian Schmidt

We discuss insights that may be drawn from our recent 2 flavour O(a)--improved Wilson quark simulations. We discuss the evidence of the onset of chiral logarithms in the pion decay constant. An overview is given of current extrapolation…

高能物理 - 格点 · 物理学 2007-05-23 S. V. Wright

Four of the six parameters defining the two-loop \pi\pi scattering amplitude have been determined using Roy dispersion relations. Combining this information with the Standard \chi PT expressions, we obtain the threshold parameters,…

高能物理 - 唯象学 · 物理学 2016-09-06 L. Girlanda , M. Knecht , B. Moussallam , J. Stern

In this article we study impact of the lightest vector and scalar resonance multiplets in the pion and kaon decay constants up to next-to-leading order in the $1/N_C$ expansion, i.e., up to the one-loop level. The $F_\pi$ and $F_K$…

高能物理 - 唯象学 · 物理学 2014-08-27 Zhi-Hui Guo , Juan Jose Sanz-Cillero

We consider two-flavor chiral perturbation theory ($\chi$PT) at finite isospin chemical potential $\mu_I$ and finite temperature $T$. We calculate the effective potential and the quark and pion condensates as functions of $T$ and $\mu_I$ to…

高能物理 - 唯象学 · 物理学 2021-02-26 Prabal Adhikari , Jens O. Andersen , Martin A. Mojahed

Spectral functions at finite temperature and two-loop order are investigated, for a medium consisting of massless particles. We consider them in the timelike and spacelike domains, allowing the propagating particles to be any valid…

高能物理 - 唯象学 · 物理学 2019-12-25 Greg Jackson

In this paper we compare two loop Chiral Perturbation Theory (ChPT) calculation of pion-pion scattering with the unitarity second order correction to the current algebra soft-pion theorem. It is shown that both methods lead to the same…

高能物理 - 唯象学 · 物理学 2009-10-30 J. Sá Borges , J. Soares Barbosa , M. D. Tonasse

In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and…

高能物理 - 唯象学 · 物理学 2013-11-08 Zhi-Gang Wang

In the dynamical triangulation model of 4D euclidean quantum gravity we measure two-point functions of the scalar curvature as a function of the geodesic distance. To get the correlations it turns out that we need to subtract a squared…

高能物理 - 格点 · 物理学 2009-07-09 Bas V. de Bakker , Jan Smit

We compute the two-point function of Konishi-like operators up to one-loop order, in N=4 supersymmetric Yang-Mills theory. We work perturbatively in N=1 superspace. We find the expression expected on the basis of superconformal invariance…

高能物理 - 理论 · 物理学 2008-11-26 Stefano Maghini , Alberto Santambrogio , Daniela Zanon

Recent work in the literature has found a suppression or, instead, an enhancement of the Cosmic Microwave Background power spectrum in quantum gravity, although the effect is too small to be observed, in both cases. The present paper…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Donato Bini , Giampiero Esposito

The vacuum polarization functions $\Pi(q^2)$ of charged and neutral gauge bosons which arise from top and bottom quark loops lead to important shifts in relations between electroweak parameters which can be measured with ever-increasing…

高能物理 - 唯象学 · 物理学 2009-10-28 K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

Different versions of improved staggered fermions can be used as valence quarks to reduce discretization effects in lattice QCD calculations while increasing statistics on existing staggered gauge ensembles. Such mixed-action simulations…

高能物理 - 格点 · 物理学 2013-11-26 Jon A. Bailey , Jongjeong Kim , Weonjong Lee , Hyung-Jin Kim , Boram Yoon

We present the ingredients necessary for the determination of physical K->pi pi decay amplitudes for Delta I=3/2 transitions, from lattice simulations at unphysical kinematics and the use of chiral perturbation theory at next-to-leading…

高能物理 - 格点 · 物理学 2008-11-26 C. -J. D. Lin , G. Martinelli , E. Pallante , C. T. Sachrajda , G. Villadoro

Two and three point functions of composite operators are analysed with regard to (logarithmically) divergent contact terms. Using the renormalisation group of dimensional regularisation it is established that the divergences are governed by…

高能物理 - 理论 · 物理学 2017-04-24 Vladimir Prochazka , Roman Zwicky

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory to one loop for a generic number of flavours. The flavour number dependence of our result enlightens the mechanism of quark loop cancellation…

高能物理 - 格点 · 物理学 2009-10-30 Gilberto Colangelo , Elisabetta Pallante
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