论文标题
渐近自由和较高的衍生量规理论
Asymptotic freedom and higher derivative gauge theories
论文作者
论文摘要
通过较高的导数项完成量规理论的紫外线可以在高能量下极大地改变其行为。渐近自由的要求施加了非常严格的约束，只有一个较高的衍生理论家庭才能满足。如果衍生物的数量足够大（$ n> 4 $），则该理论在极端红外和紫外线方面都在强烈相互作用，而对于较低数量的额外衍生物（$ n \ leqslant 4 $），它在渐近不免费。在所有情况下，该理论都会改善其紫外线行为在某些情况下导致紫外线有限理论，并消失了$β$功能。与较高衍生理论中额外的幽灵存在相关的通常的一致性问题可能不会造成渐近理论的伤害，因为在这种情况下，此类鬼魂的有效质量在紫外线限制中延伸到无穷大。
The ultraviolet completion of gauge theories by higher derivative terms can dramatically change their behavior at high energies. The requirement of asymptotic freedom imposes very stringent constraints that are only satisfied by a small family of higher derivative theories. If the number of derivatives is large enough ($n > 4$) the theory is strongly interacting both at extreme infrared and ultraviolet regimes whereas it remains asymptotically free for a low number of extra derivatives ($n \leqslant 4$). In all cases the theory improves its ultraviolet behavior leading in some cases to ultraviolet finite theories with vanishing $β$-function. The usual consistency problems associated to the presence of extra ghosts in higher derivative theories may not harm asymptotically free theories because in that case the effective masses of such ghosts are running to infinity in the ultraviolet limit.
