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The pion-nucleon sigma term ($\sigma_{\pi N}$) is an observable of fundamental importance because embodies information about the internal scalar structure of the nucleon. Nowadays this quantity has triggered renewed interest because it is a…

High Energy Physics - Phenomenology · Physics 2013-01-22 J. M. Alarcón , J. Martin Camalich , J. A. Oller

We study the nonrelativistic limit of the theory of a quantum Chern--Simons field minimally coupled to Dirac fermions. To get the nonrelativistic effective Lagrangian one has to incorporate vacuum polarization and anomalous magnetic moment…

High Energy Physics - Theory · Physics 2009-10-30 H. O. Girotti , M. Gomes , J. R. Nascimento , A. J. da Silva

We calculate the effective electromagnetic Lagrangian up to the lowest-order corrections in the derivatives for two fermionic systems of interest in condensed matter physics in the linearized approximation of the tight-binding Hamiltonian…

High Energy Physics - Theory · Physics 2025-04-01 R. Martínez von Dossow , Luis F. Urrutia

We extend a recent chiral approach to nuclear matter by including the most general (momentum-independent) NN-contact interaction. Iterating this two-parameter contact-vertex with itself and with one-pion exchange the emerging energy per…

Nuclear Theory · Physics 2009-11-10 S. Fritsch , N. Kaiser

We extend our dispersive analyses on meson static properties to those of light baryons. The formalism treats the dispersion relation, which a baryonic correlation function obeys, as an inverse problem, solve for the involved spectral…

High Energy Physics - Phenomenology · Physics 2026-03-18 Shuge Zeng , Hsiang-nan Li , Fanrong Xu

Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculate density correlation function of the degenerate Fermi gas at infinite scattering length to next-to-leading order in $\epsilon$ for excitation energies below quasi…

Nuclear Theory · Physics 2013-05-29 Andrei Kryjevski

We review recent progress in the understanding of low-energy baryon structure by means of chiral perturbation theory. In particular, we discuss the application of this formalism to the description of the quark mass dependence of recent…

High Energy Physics - Lattice · Physics 2010-11-15 J. Martin Camalich , L. S. Geng , M. J. Vicente Vacas

In a recent paper, Edelman, Guionnet and P\'{e}ch\'{e} conjectured a particular $n^{-1}$ correction term of the smallest eigenvalue distribution of the Laguerre unitary ensemble (LUE) of order $n$ in the hard-edge scaling limit:…

Probability · Mathematics 2016-06-28 Folkmar Bornemann

For the case of small matter effects: $V \ll \Delta m^2/2E$, where $V$ is the matter potential, we develop the perturbation theory using $\epsilon \equiv 2VE/\Delta m^2$ as the expansion parameter. We derive simple and physically…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. N. Ioannisian , A. Yu. Smirnov

Schemes for describing the light quark mass dependence of the nucleon mass calculated in lattice QCD are compared. The three schemes in consideration include a fully relativistic and Lorentz covariant scheme, one that is fully relativistic…

High Energy Physics - Phenomenology · Physics 2024-06-28 Shiryo Owa , Derek B. Leinweber , Anthony W. Thomas , Xuan-Gong Wang

We employ the lattice QCD data on Taylor expansion coefficients up to sixth order to construct an equation of state at finite net-baryon density. When we take into account how hadron masses depend on lattice spacing and quark mass, the…

Nuclear Theory · Physics 2015-06-22 Pasi Huovinen , Peter Petreczky , Christian Schmidt

A recent development on the working of effective field theories in nuclei and in dense hadronic matter is discussed. We consider two extreme regimes: One, dilute regime for which fluctuations are made on top of the matter-free vacuum; two,…

Nuclear Theory · Physics 2007-05-23 Mannque Rho

We study a single 2d Dirac fermion at finite density, subject to a quenched random magnetic field. At low energies and sufficiently weak disorder, the theory maps onto an infinite collection of 1d chiral fermions (associated to each point…

Strongly Correlated Electrons · Physics 2023-06-07 Chao-Jung Lee , Michael Mulligan

We evaluate the effective kaon mass in dense nuclear matter. Pauli blocking and nucleon-nucleon short-range correlations are incorporated. The effects of short-range correlations are shown to be moderate and figure importantly only at…

Nuclear Theory · Physics 2009-10-30 T. Waas , M. Rho , W. Weise

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

We apply QCD-inspired techniques to study nonrelativistic N-component degenerate fermions with attractive interactions. By analyzing the singular-value spectrum of the fermion matrix in the Lagrangian, we derive several exact relations that…

Quantum Gases · Physics 2016-04-12 Takuya Kanazawa , Arata Yamamoto

We study physics on $\rho(770)$ and $\omega(782)$ in framework of chiral constituent quark model. The effective action is derived by proper vertex method, which can capture all order information of chiral expansion. The $N_c^{-1}$ expansion…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiao-Jun Wang , Mu-Lin Yan

Based on the short-distance expansion of currents in the heavy quark effective theory, we derive the exact expressions for the heavy-to-heavy meson and baryon weak decay form factors to order $1/m_Q$ in the heavy quark expansion, and to all…

High Energy Physics - Phenomenology · Physics 2009-10-22 Matthias Neubert

The properties of the light vector mesons in the presence of local parity breaking medium with a chiral imbalance are considered in the vector-meson dominance model. Applying the finite lowest-order radiatively induced local effective…

High Energy Physics - Phenomenology · Physics 2020-12-17 Vladimir Kovalenko , Alexander Andrianov , Vladimir Andrianov

We investigate the existence of bound states of baryons in a kaon condensate using chiral mean field theory. The interactions are described by an effective SU(3)_L X SU(3)_R chiral lagrangian where terms of higher order in density, baryon…

High Energy Physics - Phenomenology · Physics 2016-09-06 Bruce Ritzi , Graciela Gelmini