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Related papers: A Dynamical Resolution of the Sigma Term Puzzle

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We investigate fermion production in the background of Minkowski space solutions to the equations of motion of $SU(2)$ gauge theory spontaneously broken via the Higgs mechanism. First, we attempt to evaluate the topological charge $Q$ of…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Farhi , J. Goldstone , S. Gutmann , K. Rajagopal , R. Singleton

The contemporary use of Dyson-Schwinger equations in hadronic physics is exemplified via applications to the calculation of pseudoscalar meson masses, and inclusive deep inelastic scattering with a determination of the pion's valence-quark…

Nuclear Theory · Physics 2010-03-04 M. B. Hecht , C. D. Roberts , S. M. Schmidt

We study pion--nucleon scattering with a chiral lagrangian of pions, nucleons, and $\Delta$-isobars. The scattering amplitude is evaluated to one-loop $Q^3$ order, where $Q$ is a generic small momentum, using a new approach which is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul J. Ellis , Hua-Bin Tang

We write down the gap equation for the fermion self-energy in a finite-temperature abelian gauge theory in three dimensions. The instantaneous approximation is relaxed, momentum-dependent fermion and photon self-energies are considered, and…

High Energy Physics - Phenomenology · Physics 2016-08-25 George Triantaphyllou

We present and discuss a systematic calculation, based on two-loop chiral perturbation theory, of the pion-nuclear s-wave optical potential. A proper treatment of the explicit energy dependence of the off-shell pion self-energy together…

Nuclear Theory · Physics 2009-11-07 E. E. Kolomeitsev , N. Kaiser , W. Weise

We present an analysis of the octet baryon masses and the $\pi N$ and $KN$ $\sigma$--terms in the framework of heavy baryon chiral perturbation theory. At next-to-leading order, ${\cal O}(q^3)$, knowledge of the baryon masses and…

High Energy Physics - Phenomenology · Physics 2016-08-14 Véronique Bernard , Norbert Kaiser , Ulf-G. Meißner

Using the $\sigma -\omega$ model as an effective tool, the effects of self-consistency are studied in some detail. A coupled set of Dyson-Schwinger equations for the renormalized baryon and meson propagators in the $\sigma -\omega$ model is…

Nuclear Theory · Physics 2009-11-06 S. S. Wu , H. X. Zhang , Y. J. Yao

Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the quark-level linear sigma model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses, which…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael D. Scadron , Frieder Kleefeld , George Rupp

We explore supersymmetric theories in which the Higgs mass is boosted by the non-decoupling D-terms of an extended $U(1)_X$ gauge symmetry, defined here to be a general linear combination of hypercharge, baryon number, and lepton number.…

High Energy Physics - Phenomenology · Physics 2015-06-05 Clifford Cheung , Hannes L. Roberts

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly…

High Energy Physics - Lattice · Physics 2013-12-06 Roberto Frezzotti , GianCarlo Rossi

In this talk we discuss at hand of two examples the crucial role played by self consistency in hadron physics. The first example concerns the quark-mass dependence of the baryon octet and decuplet masses. It is shown that within a self…

Nuclear Theory · Physics 2008-11-26 M. F. M. Lutz , C. L. Korpa , A. Semke

We describe an independent method for determining the strong-isospin breaking mass parameter, 2delta = m_d - m_u, which utilizes the baryon spectrum. We use a prudent partially quenched choice of splitting the valence quark masses…

High Energy Physics - Lattice · Physics 2010-11-18 Andre Walker-Loud

Supersymmetric models, in most cases, suffer from the lack of non-perturbative techniques. Recently, an approach based on Dyson-Schwinger equations has been proposed for the massless Wess-Zumino model. In this case, the equations for the…

High Energy Physics - Theory · Physics 2013-12-02 Marco Frasca

We compute the neutral pion mass dependence on a magnetic field in the weak field approximation at one-loop order. The calculation is carried out within the linear sigma model coupled to quarks and using Schwinger's proper-time…

High Energy Physics - Phenomenology · Physics 2018-12-19 Alejandro Ayala , Ricardo L. S. Farias , S. Hernandez-Ortiz , Luis A. Hernandez , D. Manreza Paret , R. Zamora

We use the vacuum expectation value of a Wegner-Wilson loop representing a fast moving quark-antiquark pair to derive the light cone Hamiltonian for a $q\bar q$ meson. We solve the corresponding Schr\"odinger equation for various trial wave…

High Energy Physics - Phenomenology · Physics 2015-04-28 H. J. Pirner , B. Galow , O. Schlaudt

We present the light-quark mass dependence of the $\Lambda(1405)$ resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the…

High Energy Physics - Phenomenology · Physics 2024-06-11 Xiu-Lei Ren

We use the QCD sum rule approach to calculate the masses of the Lambda_Q and Sigma_Q baryons to the Lambda_{QCD}/m_Q order within the framework of heavy quark effective theory. We compare the direct approach and the covariant approach to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Dao-Wei Wang , Ming-Qiu Huang , Cheng-Zu Li

We construct the complete effective chiral pion-nucleon Lagrangian to third order in small momenta based on relativistic chiral perturbation theory. We then perform the so-called heavy baryon limit and construct all terms…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner , Sven Steininger

We calculate the pion self-energies in asymmetric nuclear matter in the two-loop approximation of chiral perturbation theory. We find three types of corrections beyond the well-known linear density approximation. The resulting s-wave…

Nuclear Theory · Physics 2009-11-07 N. Kaiser , W. Weise

Baryons containing two heavy quarks are treated in the Born-Oppenheimer approximation. Schr\"odinger equation for two center Coulomb plus harmonic oscillator potential is solved by the method of ethalon equation at large intercenter…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. U. Matrasulov , M. M. Musakhanov , T. Morii