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Quark mass ratios are expressed within the linear meson model by universal relations involving only the masses and decay constants of the flavored pseudoscalars as well as their wave function renormalization. Quantitative results are in…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. -U. Jungnickel , C. Wetterich

We investigate finite volume effects in the pattern of chiral symmetry breaking. To this end we employ a formulation of the Schwinger-Dyson equations on a torus which reproduces results from the corresponding lattice simulations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. S. Fischer , M. R. Pennington

The ambiguities and inconsistencies in previous thermodynamic treatments for the quark mass density-dependent model are addressed. A new treatment is suggested to obtain the self-consistent results. A new independent variable of effective…

Nuclear Theory · Physics 2008-11-26 Shaoyu Yin , Ru-Keng Su

We extract the spectral function of quarks using the QCD functional formalism.The reliability of approximations is controlled by the masses and decays of pseudoscalar mesons. For light quarks, we select the pion; for charm quarks, we choose…

High Energy Physics - Phenomenology · Physics 2026-03-13 Vladimir Sauli

Using the previously derived confining gluon propagator, the corresponding system of equations determining the quark propagator is derived. The system of equations consists of the Schwinger-Dyson equation for the quark propagator itself,…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogokhia

We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature on the size of the spatial volume and the current-quark mass for the…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , B. Klein , H. -J. Pirner , A. H. Rezaeian

By means of a formal expression of the Cornwall-Jackiw-Tomboulis effective potential for quark propagator at finite temperature and finite quark chemical potential, we derive the real-time thermal Schwinger-Dyson equation for quark…

High Energy Physics - Theory · Physics 2014-11-18 Zhou Bang-Rong

We have investigated a closed system of equations for the quark propagator, obtained earlier within our general approach to QCD at low energies. It implies quark confinement (the quark propagator has no pole, indeed), as well as the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogokhia

We present results of numerical solutions of Schwinger-Dyson equations for the finite-temperature quark and electron propagators. It is shown that both strongly coupled QED and QCD undergo a chiral symmetry restoring phase transition as the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Strickland

A method for obtaining the small current quark mass effect on the dressed quark propagator from an effective quark-quark interaction model is developed. Within this approach both explicit and dynamical chiral symmetry breaking has been…

Nuclear Theory · Physics 2009-11-07 Hong-shi Zong , Xiao-hua Wu , Feng-yao Hou , En-guang Zhao

Based on a recent manifestly covariant time-ordered approach to the relativistic many-body problem, the quark propagator is defined by a nonlinear Dyson--Schwinger-type integral equation, with a one-gluon loop. The resulting…

Nuclear Theory · Physics 2009-10-28 Helmut Haberzettl

In perturbative thermal calculations, introducing nonzero quark masses causes considerable complications. In this article we describe an approximation scheme valid for sufficiently light masses which significantly simplifies the relevant…

High Energy Physics - Phenomenology · Physics 2022-06-17 Tyler Gorda , Saga Säppi

In the large fermion mass limit of QCD at finite density the structure of the partition function greatly simplifies and can be studied analytically. We show that, contrary to general wisdom, the phase of the Dirac determinant is relevant…

High Energy Physics - Lattice · Physics 2009-10-31 R. Aloisio , V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo

We study chiral symmetry breaking in $\rm QED_3$ with $N_f$ flavors of four-component fermions. A closed system of Schwinger-Dyson equations for fermion and photon propagators and the full fermion-photon vertex is proposed, which is…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , A. H. Hams , M. Reenders

Finite-temperature spectra of heavy quarkonia are calculated by combining potential model and thermofield dynamics formalisms. The mass spectra of the heavy quarkonia with various quark contents are calculated. It is found that binding mass…

High Energy Physics - Phenomenology · Physics 2010-01-26 D. U. Matrasulov , F. C. Khanna , Kh. T. Butanov , Kh. Yu. Rakhimov

We investigate how the QCD equation of state can be reconstructed by a continous mass distribution of non-interacting ideal components. We find that adjusting the mass scale as a function of the temperature leads to results which are…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. S. Biro , P. Levai , P. Van , J. Zimanyi

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian S. Fischer

The phenomenon of dynamical quark mass generation is studied in QCD within the framework of a gauge invariant formalism. An exact relationship is established between the equation satisfied by the scalar part of the two-point gauge invariant…

High Energy Physics - Phenomenology · Physics 2016-04-11 H. Sazdjian

Non-compact QED3 is simulated both in the quenched and unquenched cases. In particular, we investigate the restoration of chiral symmetry at finite temperature. We also compute the zero temperature spectrum of the theory, including (in the…

High Energy Physics - Lattice · Physics 2009-10-22 J. B. Kogut , J. -F. Lagae

The front form Hamiltonian for quantum chromodynamics, reduced to an effective Hamiltonian acting only in the $q\bar q$ space, is solved approximately. After coordinate transformation to usual momentum space and Fourier transformation to…

High Energy Physics - Theory · Physics 2009-10-30 H. C. Pauli , J. Merkel