A time-dependent strain induces non-Abelian gauge field in a sheet of graphene. We discuss the effective field theory of this system of graphene subjected to a general form of time-dependent strain. We study the modifications to this effective field theory as a result of breaking Lorentz symmetry down to its sub-group, [Formula: see text], employing the VSR formalism. As the effective theory describing the graphene system has gauge symmetry; to quantize this theory, we add a suitable ghost and gauge fixing terms to the original action. The resultant action is observed to be invariant under a BRST symmetry. We have studied the BRST symmetry of the resultant theory, and explicitly constructed the BRST transformations.

中文翻译：

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石墨烯中非阿贝尔规范理论的量化

与时间相关的应变在石墨烯片中引起非阿贝尔规范场。我们讨论了这种石墨烯系统的有效场论，该系统受到一般形式的时间相关应变。我们研究了对这种有效场论的修改，这是由于使用 VSR 形式将洛伦兹对称性分解为其子组 [公式：见正文]。由于描述石墨烯系统的有效理论具有规范对称性；为了量化这个理论，我们在原始动作中添加了一个合适的重影和规范固定项。在 BRST 对称性下，观察到所产生的作用是不变的。我们研究了所得理论的 BRST 对称性，并明确地构建了 BRST 变换。