标题： 一种味色动力学的有效玻色自由度 显示英文标题

标题： Effective Bosonic Degrees of Freedom for One-Flavour Chromodynamics

摘要： 我们将之前制定的非阿贝尔规范理论的量子化程序应用于一色味色动力学。 该程序包括用规范不变量重新表述泛函积分。 对于所考虑的模型，出现两种类型的规范不变量——在夸克和反夸克上双线性的量（介子）以及一个矩阵值的协变向量场，该场在夸克、反夸克及其协变导数上双线性。 该协变向量场在线性于原始规范势，因此可以视为用物质以规范不变的方式“修饰”的规范势。 因此，我们得到了理论的完全玻色化。 强相互作用由在从泛函积分中积分掉夸克和胶子后得到的高度非线性有效作用量来描述。 所有构造都在量子层面上连续进行，其中夸克和反夸克是反对易对象。 我们的量子化过程避开了格里博夫歧义。 显示英文摘要

摘要： We apply an earlier formulated programme for quantization of nonabelian gauge theories to one-flavour chromodynamics. This programme consists in a complete reformulation of the functional integral in terms of gauge invariant quantities. For the model under consideration two types of gauge invariants occur -- quantities, which are bilinear in quarks and antiquarks (mesons) and a matrix-valued covector field, which is bilinear in quarks, antiquarks and their covariant derivatives. This covector field is linear in the original gauge potential, and can be, therefore, considered as the gauge potential ``dressed'' in a gauge invariant way with matter. Thus, we get a complete bosonization of the theory. The strong interaction is described by a highly non-linear effective action obtained after integrating out quarks and gluons from the functional integral. All constructions are done consequently on the quantum level, where quarks and antiquarks are anticommuting objects. Our quantization procedure circumvents the Gribov ambiguity.