标题： Karsten-Wilczek极小双重费米子的手征拉格朗日 显示英文标题

标题： Chiral Lagrangian for Karsten-Wilczek Minimally Doubled Fermions

摘要： 晶格手征微扰理论被发展用于Karsten-Wilczek费米子，这是极小加倍费米子的一种形式。作为第一步，我们考虑了晶格上单纯的费米场而不包括它的加倍子。一旦单个费米子的作用的对称性、Symanzik有效理论以及 spurion 结构被确定，我们将研究扩展到包括加倍子。在这两种情况下，Symanzik有效作用量都被考虑到了五维算符。两种费米味通过在坐标空间中分裂夸克波函数来实现。spurion 分析被用来从Symanzik作用量构造Karsten-Wilczek费米子的手征拉格朗日量。在这项工作中，我们没有包含在连续极限下具有质量的派生子。 显示英文摘要

摘要： Lattice chiral perturbation theory is developed for Karsten-Wilczek fermions, a variant of minimally doubled fermions. As a first step, we consider the n\"aive fermionic field on lattice without its doubler. Once the symmetries of the action, the Symanzik effective theory and the spurion structure are established for the single fermion, we extend our study to include the doubler. Symanzik effective actions are considered up to five-dimensional operators in both cases. The two fermionic tastes are realized by point-splitting the quark wavefunction in the coordinate space. Spurion analysis is used to construct the chiral lagrangians for Karsten-Wilczek fermions from the Symanzik actions. In this work, we have not included a pion that is massive in the continuum limit.