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In nuclear matter, the pion weak decay constant is separated into the two components $f_t, f_s$ corresponding to the time and space components of the axial-vector current. Using QCD sum rules, we compute the two decay constants from the…

高能物理 - 唯象学 · 物理学 2009-11-07 Hungchong Kim

We study the mass of a nucleon in a nucleus using a model recently introduced for a nucleon current with a pion cloud component. The method of QCD sum rules is used to determine the mass shifts for nucleons to first order in nuclear density…

核理论 · 物理学 2007-05-23 Andrew J. Harey , Leonard S. Kisslinger

We consider two methods to find the effective parameters of the pion traversing a nuclear medium. One is the first order chiral perturbation theoretic evaluation of the pion pole contribution to the two-point function of the axial-vector…

核理论 · 物理学 2009-11-10 S. Mallik , Sourav Sarkar

A pion distribution amplitude, derived from nonlocal QCD sum rules, has been employed to calculate $F_{\gamma^*\gamma\to\pi}(Q^2)$ using light-cone sum rules, and $F_{\pi}(Q^2)$ in NLO QCD perturbation theory. Predictions are presented for…

高能物理 - 唯象学 · 物理学 2007-05-23 N. G. Stefanis , A. P. Bakulev , S. V. Mikhailov , K. Passek-Kumerički , W. Schroers

We present the results on the relativistic six-pion scattering amplitude at low energy, calculated at $\mathcal{O}(p^4)$ within the framework of the massive $\text{O}(N)$ nonlinear sigma model extended to the next-to-leading order in the…

高能物理 - 唯象学 · 物理学 2022-04-04 Tomáš Husek

The nonperturbative, Dyson-Schwinger equation approach to solving QCD provides a straightforward, microscopic description of dynamical chiral symmetry breaking and confinement. It is an ideal tool for the study of pion observables. This is…

高能物理 - 唯象学 · 物理学 2009-10-28 Craig D. Roberts

Consideration of the analytic properties of pion-induced baryon self energies leads to new functional forms for the extrapolation of light baryon masses. These functional forms reproduce the leading non-analytic behavior of chiral…

核理论 · 物理学 2010-02-17 Anthony W. Thomas , Derek B. Leinweber , Kazuo Tsushima , Stewart V. Wright

The leading divergences of the generating functional for Green functions of quark currents between one--nucleon states are calculated with heat kernel techniques. The results allow for a chiral invariant renormalization of all two--nucleon…

高能物理 - 唯象学 · 物理学 2009-10-28 G. Ecker

After a brief introduction to chiral perturbation theory, the effective field theory of the standard model at low energies, two recent applications are reviewed: elastic pion-pion scattering to two-loop accuracy and the complete…

高能物理 - 唯象学 · 物理学 2014-11-17 Gerhard Ecker

The quark condensate in nuclear matter contains a term of order $\rho m_\pi$, arising from the contribution of low-momentum virtual pions to the $\pi N$ sigma commutator. Standard treatments of QCD sum rules for a nucleon in matter generate…

高能物理 - 唯象学 · 物理学 2009-10-28 Michael C. Birse , Boris Krippa

We calculate pion mass, pion decay constant, PCAC quark mass and nucleon mass in two flavour lattice QCD with unimproved Wilson fermion and gauge actions. Simulations are performed using DD-HMC algorithm at two lattice spacings and two…

The mean field (MF) approximation for the pion matter, being equivalent to the leading ChPT order, involves no dynamical loops and, if self-consistent, produces finite renormalizations only. The weight factor of the Haar measure of the pion…

高能物理 - 唯象学 · 物理学 2008-11-26 M. I. Krivoruchenko , C. Fuchs , B. V. Martemyanov , Amand Faessler

A simple matching procedure is proposed to extract constraints on effective meson theories. In this way, a QCD prediction for the pion decay constant is found, F(pi)=2 m(pi)/pi, i.e. approximately 90MeV. The same procedure also determines…

高能物理 - 唯象学 · 物理学 2007-05-23 Christopher Smith

We discuss a few, apparently different (but actually, tightly related) problems: 1. The relation between QCD and valence quark model, 2. The asymptotic behavior of the nonperturbative pion wave function $\psi(\k, x)$ at $x\rightarrow 0,~1,…

高能物理 - 唯象学 · 物理学 2007-05-23 Ariel Zhitnitsky

We study the properties of pions in twisted mass lattice QCD (with two degenerate flavors) using chiral perturbation theory (ChPT). We work to next-to-leading order (NLO) in a power counting scheme in which m_q ~ a \Lambda_QCD^2, with m_q…

高能物理 - 格点 · 物理学 2009-11-10 Stephen R. Sharpe , Jackson M. S. Wu

We use chiral perturbation theory for SU(2) to compute the leading corrections to the thermal mass of the pions and the pion decay constant in the presence of the magnetic field in a low-temperature expansion. The magnetic field gives rise…

高能物理 - 唯象学 · 物理学 2012-08-02 Jens O. Andersen

Novel techniques are presented, which identify the chiral power-counting regime (PCR), and realize the existence of an intrinsic energy scale embedded in lattice QCD results that extend outside the PCR. The nucleon mass is considered as a…

高能物理 - 格点 · 物理学 2015-05-27 Jonathan M. M. Hall , Derek B. Leinweber , Ross D. Young

QCD at nonzero isospin chemical potentials has phenomenological relevance for a series of physical systems and provides an ideal testground for the modeling of dense strongly interacting matter. The two-flavor quark-meson model is known to…

高能物理 - 唯象学 · 物理学 2025-09-09 Bastian B. Brandt , Volodymyr Chelnokov , Gergely Endrodi , Gergely Marko , Daniel Scheid , Lorenz von Smekal

The two-flavor quark-meson model is used as a low-energy effective model for QCD to study inhomogeneous chiral condensates at finite %temperature $T$ baryon chemical potential $\mu_B$. The parameters of the model are determined by matching…

高能物理 - 唯象学 · 物理学 2017-10-09 Prabal Adhikari , Jens O. Andersen , Patrick Kneschke

We study thermal properties of a large-N massless pion gas using a low-energy QCD approach given by an $O(N +1)/O(N)$ Nonlinear Sigma Model. We build diagrammatically the associated finite free energy to $O(TM^{3})$ in the pion mass…

高能物理 - 唯象学 · 物理学 2017-12-04 Santiago Cortés , Ángel Gómez Nicola , John Morales