论文标题
相互作用的加利利田地理论的量化
Quantization of Interacting Galilean Field theories
论文作者
论文摘要
我们介绍了在（3 + 1）尺寸中最小耦合到无质量的伽利亚费米的galilean电动力学的量子场描述。在经典层面上，拉格朗日是在一个较高维度中以相对论理论的无效减少。我们使用功能技术来开发理论的量子场描述。对繁殖器和顶点的量子校正是获得一阶的，并且该理论被发现与该秩序具有重新归功于该理论。该理论的β函数被发现线性增长。该理论不是渐近的自由。
We present the quantum field description of Galilean electrodynamics minimally coupled to massless Galilean fermion in (3 + 1) dimensions. At the classical level, the Lagrangian is obtained as a null reduction of a relativistic theory in one higher dimension. We use functional techniques to develop the quantum field description of the theory. Quantum corrections to the propagators and vertex are obtained upto first order and the theory is found to be renormalizable to this order. The beta function of the theory is found to grow linearly; the theory is not asymptotically free.
