标题： 单极子和QCD有效拉格朗日的库仑气体表示 显示英文标题

标题： Monopoles and Coulomb Gas Representation of the QCD Effective Lagrangian

摘要： 构造了低能QCD_4(N_c)的一种新的库仑气体(CG)描述。该构造基于QCD有效拉格朗日的对偶变换。通过考虑大规范变换，确定了此统计系统的电荷与携带分数电荷（强度为1/N_c）的磁单极子相对应。此外，明确构建了插入CG图中磁荷的创建算符，并证明其具有非零的真空期望值，表明确实存在禁闭现象。还构造了CG表示中的威尔逊圈算符以及域墙的创建算符。发现了Witten提出的D-膜图像的进一步支持证据。最后，讨论了CG图像与瞬子夸克的关系。 显示英文摘要

摘要： A novel Coulomb gas (CG) description of low energy QCD_4(N_c) is constructed. The construction is based on the dual transformation of the QCD effective Lagrangian. By considering a large gauge transformation, the charges of this statistical system are identified with magnetic monopoles which carry fractional charges of strength 1/N_c. Furthermore, the creation operator which inserts the magnetic charge in the CG picture is explicitly constructed and demonstrated to have a non-zero vacuum expectation value, indicating that confinement does occur. The Wilson loop operator as well as the creation operator for the domain wall in CG representation is also constructed. Additional support for the D-brane picture suggested by Witten is also found. Lastly, the relation of the CG picture with the instanton-quarks is also discussed.