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Susceptibilities of qcd vacuum from Renormalized Dyson-Schwinger Equations]

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Communications in Theoretical Physics 2004年第6期41卷 917-920页

作者： CHENWei QIShi SUNWei-Min ZONGHong-Shi DepartmentofPhysics NanjingUniversityNanjing210093China CCAST（WorldLaboratory） P.O.Box8730Beijing100080China

The pion and tensor vacuum susceptibilities are calculated in the framework of the renormalizable DysonSchwinger equations. A comparison with the results of other nonperturbative qcd approaches is given.

关键词： qcd vacuum vacuum susceptibility Dyson-Schwinger equations

Dynamical Model of qcd vacuum and Quark Confinement

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Communications in Theoretical Physics 2004年第5期41卷 729-732页

作者： WANGDian-Fu SONGHe-Shan MIDong DepartmentofPhysics DalianUniversityofTechnologyDalian116024China

The phase transition of a simple local gauge model is investigated in terms of the Nambu–Jona-Lasinio mechanism and it is pointed out that the physical vacuum of qcd is bound state of quark-antiquark pairs which can be viewed, generally, as a nearly perfect color dia-electric medium. An important relation between the vacuum expectation value of gauge fields and scalar fields is also derived by solving the Euler equation for the gauge fields. Based on this relation the gauge potential is given which can be used to explain the asymptotic behavior and confinement of quarks in a hadron, and at the same time the Yukawa potential of strong interaction can be given too.

关键词： qcd vacuum quark confinement

Abelian-Higgs phase of SU(2) qcd and glueball energy

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Chinese Physics C 2008年第7期32卷 509-514页

作者：贾多杰 Institute of Theoretical Physics College of Physics and Electronic EngineeringNorthwest Normal UniversityLanzhou 730070China Department of PhysicsNorth Carolina State UniversityRaleighNC27695-8202USA

It is shown that SU（2） qcd admits an dual Abelian-Higgs phase, with a Higgs vacuum of a type-Ⅱ superconductor. This is done by using a connection decomposition for the gluon field and the random-direction approximation. Using a bag picture with soft wall, we presented a calculational procedure for the glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741（2006）1].

关键词： qcd vacuum Abelian-Higgs phase bag glueball

Does There Exist Only One Solution of the Dyson-Schwinger Equation for the Quark Propagator in the Case of Non-Zero Current Quark Mass

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Chinese Physics Letters 2005年第12期22卷 3036-3039页

作者：宗红石孙为民平加仑吕晓夫王凡 Department of Physics Nanjing University Nanjing 210093 CCAST (World Laboratory) PO Box 8730 Beijing 100080 Joint Center for Particle Nuclear Physics and Cosmology Nanjing 210093 Department of Physics Nanjing Normal University Nanjing 210097 Department of Phvsics Sichuan Union University Chengdu 610064

It is shown on general ground that there exist two qualitatively distinct solutions of the Dyson-Schwinger equation for the quark propagator in the case of non-zero current quark mass. One solution corresponds to the ... 详细信息

关键词： qcd vacuum SUSCEPTIBILITY PHYSICS VERTEX MODEL

Linear Chemical Potential Dependence of Two-Quark Condensate

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Communications in Theoretical Physics 2006年第5期46卷 901-904页

作者： ZONG Hong-Shi Department of Physics Nanjing University Nanjing 210093 China Joint Center for Particle Nuclear Physics and Cosmology Nanjing 210093 China

By differentiating the inverse dressed quark propagator at finite chemical potential μ with respect to μ, the linear response of the dressed quark propagato r to the chemical potential can be obtained, From this we extract a modelindependent formula for the linear chemical potential dependence of the in-medium two-quark condensate and show by two independent methods （explicit calculation and Lorentz covariance arguments） that the first-order contribution in μ to the in-medium two-quark condensate vanishes identically. Therefore if one wants to study the in-medium two-quark condensate one should expand to at/east the second order in the chemical potential μ.

关键词： qcd vacuum two-quark condensate finite chemical potential

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Modified Approach for Calculating Four-Quark Condensates

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Communications in Theoretical Physics 2007年第2期47卷 293-298页

作者： ZONG Hong-Shi SUN Wei-Min Department of Physics Nanjing University Nanjing 210093 China Joint Center for Particle Nuclear Physics and Cosmology Nanjing 210093 China CCAST （World Laboratory） P.O. Box 8730 Beijing 100080 China

By differentiating the dressed quark propagator with respect to a variable background field, the linear response of the dressed quark propagator in the presence of the background field can be obtained. From this general method, using the vector background tield as an illustration, we extract a general formula for the four-quark condensate （0： q（0）γμq（0）q（0）γμq（0）：｜0）. This formula contains the corresponding fully dressed vector vertex. We use this formula to analyze the factorization problem of the four-quark condensate and show that in the bare vertex approximation factorization holds exactly.

关键词： qcd vacuum four-quark condensates Dyson-Schwinger approach

The qcd Ground State Chiral Tetrahedron Symmetry

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Journal of High Energy Physics, Gravitation and Cosmology 2023年第4期9卷 1161-1180页

作者： Rami Rom Independent Researcher Zikhron-Ya’akov Israel

We propose that the exotic meson tetraquark ud~dũintroduced in previous papers, may be a pseudo-Goldstone boson having a tetrahedron geometry and symmetry. The transition from the neutral pion superposition of two free mesons, dd~ and uũ, to the tetrahedron geometry with optional two chiral states may be the symmetry breaking of the qcd ground state. The ud~dũtetrahedron mass may be calculated by measuring the β decay rate variability. We assume that electrons and positrons are composite particle exotic tetraquarks, dũdd~ for the electrons and ud~dd~ for the positrons and confined by the strong force. We propose that the qcd tetrahedrons play a central role in electron pairing mechanism in both chemical bond forming and superconductor Cooper pairs. We propose a hypothesis where the qcd ground state tetrahedrons play a central role in low energy physics where quark exchange reactions between particles and the qcd tetrahedrons via gluon junctions transfer all the forces. The qcd ground state ud~dũtetrahedrons hypothesis provides a symmetry breaking and a mass gap may be created by the ground state qcd tetrahedrons Bose-Einstein condensate.

关键词： qcd vacuum Pseudo-Goldstone Boson Bose Einstein Condensate (BEC) Lattice qcd Gluon Junctions Tetrahedrons Cooper Pairs Isotope Effect Superconductor Dirac Equation Klein Paradox Cosmic Web Voids Doppler Redshift Black Hole Laser

The Pionic Deuterium and the Pion Tetrahedron vacuum Polarization

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Journal of High Energy Physics, Gravitation and Cosmology 2024年第1期10卷 329-345页

作者： Rami Rom Zikhron-Ya’akov Israel

A double-well potential model is proposed for the pionic deuterium that enables to calculate the energy split, the potential barrier height and estimate the pion tetrahedron edge length. We propose that pion tetrahedrons, πTd = ud~dũ, play a central role in the Yukawa interaction by enabling quark exchange reactions between protons and neutrons by tunneling through a potential barrier. A vacuum polarization Feynman diagram is proposed for the πTd having chains of fermion loops for the two valence quarks and anti-quarks connected by gluons. With a higher order vacuum polarization diagram, the d and u quark loops are interleaved and the chiral symmetry is broken dynamically. The proposed πTd vacuum polarization integral does not diverge in both the IR and UV limits and vanishes in the limit of an infinite pion tetrahedron condensate. We propose a new Delbruck scattering Feynman diagram that includes d and u quark and anti-quark interleaved loops. We further propose that conversion of gravitons to photons may occur via quark and anti-quark loops that describe the pion tetrahedrons dynamics in the vacuum and may also transfer gravitational waves.

关键词： Pionic Deuterium (πD) Yukawa Interaction qcd vacuum Double-Well Potential Chiral Perturbation Theory vacuum Polarization Gravitational Waves

A New Approach for Calculating vacuum Susceptibility

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A New Approach for Calculating Vacuum Susceptibility