Study on the quantum features of nuclear matter based on the non-perturbed

我们发展了核物质的相对论场论处理。给出了核Schwinger-Dyson（NSD）形式在核物质中的应用。NSD形式体系由核子和介子的耦合戴森方程组成。由于它以非微扰的方式包含了介子自能，因此在Hartree-Fock近似之外考虑了高阶关联。NSD方法是一种非微扰方法，被认为适用于强相互作用系统，如原子核。当采用裸顶近似时，NSD概括了代表粒子-空穴对激发的环型图，它已被应用于核物质的许多现象。从核的角度研究了环图在核结合能、核物质不可压缩性、光学势（特别是虚部势）、核物质平均自由程和夸克凝聚问题中的作用，特别是发展了传统处理中的介子传播子的处理，使之不包括非物理成分。在重整化群方法的基础上，进一步研究了有限密度下的重整化方法，并由此预言了核物质中的介子质量，这些研究结果发表在34篇论文，68次口头报告（包括5次国际会议）中。

We have developed the relativistic field theoretic treatment of the nuclear matter. The nuclear Schwinger-Dyson (NSD) formalism is presented for an application to nuclear atter. The NSD formalism consists of coupled Dyson equations of a nucleon and mesons. Since it includes meson self-energies in a non-perturbative way, higher order correlation beyond the Hartree-Fock approximation are taken into account. NSD formalism is one of the non-perturbative methods, it is considered to be suitable for strongly interacting system like nuclei. When we adopts the bare-vertex approximation, the NSD sum up the ring type diagrams, which stands for the particle-hole pair excitations.The NSD has been applied to many phenomena of nuclear matter. Studies are done on the effects of the ring diagrams in nuclear binding energy, incompressibility of nuclear matter, the optical(especially imaginary part) potentials, mean free path in nuclear matter, and quark condensation problem from nuclear side.We especially have developed the treatment of the meson propagator which do not include the unphysical components, while it is mixed in the traditional treatment. Further we have studied the renormalization method in finite density on the basis of the renormalization group method, by which we predicted the meson mass in nuclear matter.These research results are issued in 34 papers, 68 oral talks(including 5 international conference).