论文标题

平面量子电动力学中的量子平价保护

Quantum parity conservation in planar quantum electrodynamics

论文作者

Del Cima, O. M., Franco, D. H. T., Lima, L. S., Miranda, E. S.

论文摘要

量子平价保护在扰动理论中的所有订单中均已验证无数平价 - $ u(1)\ times U(1)$平面量子电动力学(QED $ _3 $)模型。在Bogoliubov-parasiuk-parasiuk-hepp-Zimmermermann-lowenstein(BPHZL)重新分配方法的框架内,存在两个无质量的费米子(Lowenstein-Zimmermann(LZ)减法方案),以使其损坏的基础差异对1--划分,以使超级分量差异为1--,以使超级分量差异为1--紫外线差异的模型最多为2循环。最后,证明BPHZL的重新归一化方法保留了考虑的模型的奇偶校验,这与普通的无质量平价$ U(1)$ QED $ _3 $相反。

Quantum parity conservation is verified at all orders in perturbation theory for a massless parity-even $U(1)\times U(1)$ planar quantum electrodynamics (QED$_3$) model. The presence of two massless fermions requires the Lowenstein-Zimmermann (LZ) subtraction scheme, in the framework of the Bogoliubov-Parasiuk-Hepp-Zimmermann-Lowenstein (BPHZL) renormalization method, in order to subtract the infrared divergences induced by the ultraviolet subtractions at 1- and 2-loops, however thanks to the superrenormalizability of the model the ultraviolet divergences are bounded up to 2-loops. Finally, it is proved that the BPHZL renormalization method preserves parity for the model taken into consideration, contrary to what happens to the ordinary massless parity-even $U(1)$ QED$_3$.

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