General $SU(2{)}_L\times SU(2{)}_R\times U(1{)}_{EM}$ Sigma Model With External Sources, Dynamical Breaking And Spontaneous Vacuum Symmetry Breaking

Abstract

We give a general $SU(2{)}_L\times SU(2{)}_R$ $\times U(1{)}_{EM}$ sigma model with external sources, dynamical breaking and spontaneous vacuum symmetry breaking, and present the general formulation of the model. It is found that $\sigma$ and ${\pi }^0$ without electric charges have electromagnetic interaction effects coming from their internal structure. A general Lorentz transformation relative to external sources $J_{gauge}$ $=(J_{A_{\mu }},J_{A_{\mu }^{\kappa }})$ is derived, using the general Lorentz transformation and the four-dimensional current of nuclear matter of the ground state with $J_{gauge}$ = 0, we give the four-dimensional general relations between the different currents of nuclear matter systems with $J_{gauge}\ne 0$ and those with $J_{gauge}=0$. The relation of the density's coupling with external magnetic field is derived, which conforms well to dense nuclear matter in a strong magnetic field. We show different condensed effects in strong interaction about fermions and antifermions, and give the concrete scalar and pseudoscalar condensed expressions of ${\sigma }_0$ and ${\pi }_0$ bosons. About different dynamical breaking and spontaneous vacuum symmetry breaking, the concrete expressions of different mass spectra are obtained in field theory. This paper acquires the running spontaneous vacuum breaking value ${\sigma }_0^{\prime },$ and obtains the spontaneous vacuum breaking in terms of the running ${\sigma }_0^{\prime }$, which make nucleon, $\sigma$ and $\pi$ particles gain effective masses. We achieve both the effect of external sources and nonvanishing value of the condensed scalar and pseudoscalar paticles. It is deduced that the masses of nucleons, $\sigma$ and $\pi$ generally depend on different external sources.

arXiv comment12 pages

References in corpus (13)

• Dense nuclear matter in a strong magnetic field
• Dynamical Symmetry Breaking of Extended Gauge Symmetries
• Dynamical Symmetry Breaking in the Sea of the Nucleon
• Effects of ac-field amplitude on the dielectric susceptibility of relaxors
• Dynamical Electroweak Symmetry Breaking by a Neutrino Condensate
• Spontaneous rotational symmetry breaking and roton like excitations in gauged sigma-model at finite density
• Dynamical chiral symmetry breaking in gauge theories with extra dimensions
• Spontaneous symmetry breaking of a hyperbolic sigma model in three dimensions
• Topological Gauge Theory Of General Weitzenbock Manifolds Of Dislocations In Crystals
• Unified Expressions Of All Integral Variational Principles
• Solution Of Wheeler-De Witt Equation, Potential Well And Tunnel Effect
• Generalization of Classical Statistical Mechanics to Quantum Mechanics and Stable Property of Condensed Matter
• Search for a Higgs Boson Decaying into Two Photons in e+e- Interactions at sqrt{s}=189GeV