Jackiw-Pi模型量子化的新方面：场-反场形式和非对易性
New aspects of quantization of Jackiw-Pi model: field-antifield formalism and noncommutativity
摘要：
所谓的Jackiw-Pi（JP）模型是一个三维的、规范不变的、宇称保持的模型。在本文中，我们讨论了它的量子方面，通过介绍普朗克尺度的对象，即，通过不可交换性和众所周知的BV量化。也就是说，我们构造了JP非对易时空模型，给出了对易JP模型的BV量子化，并讨论了它的性质。非对易性在JP的普朗克尺度框架中引入了有趣的新对象。
英文摘要：
The so-called Jackiw-Pi (JP) model for massive vector fields is a three dimensional, gauge invariant and parity preserving model which was discussed in several contexts. In this paper we have discussed its quantum aspects through the introduction of Planck scale objects, i.e., via noncommutativity and the well known BV quantization. Namely, we have constructed the JP noncommutative spacetime version and we have provided the BV quantization of the commutative JP model and we have discussed its features. The noncommutativity has introduced interesting new objects in JP's Planck scale framework.
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