强背景场中相对论性场论的最低朗道能级
Lowest Landau Level of Relativistic Field Theories in a Strong Background Field
摘要：
本文考虑类强外场中的规范理论。这种情况既可以出现在传统的四维理论中，也可以自然地出现在额外维度的理论中，尤其是膜世界模型中。我们表明，在最低的朗道能级近似，一些坐标成为非交换。我们找到了非对易规范理论问题的物理原因，如SU（N）规范对称性问题。我们的构造被应用到标准模型的最小扩展。结果表明，希格斯部门可能是非交换的，而其余部门的标准模型保持交换。这个模型在LHC的签名进行了讨论。然后，我们讨论了应用程序的暗物质部门耦合到希格斯部门的标准模型，并再次表明，在这里，暗物质可以是非交换的，标准模型领域保持交换。
英文摘要：
We consider gauge theories in a strong external magnetic like field. This situation can appear either in conventional four-dimensional theories, but also naturally in extra-dimensional theories and especially in brane world models. We show that in the lowest Landau level approximation, some of the coordinates become non-commutative. We find physical reasons to formal problems with non-commutative gauge theories such as the issue with SU(N) gauge symmetries. Our construction is applied to a minimal extension of the standard model. It is shown that the Higgs sector might be non-commutative whereas the remaining sectors of the standard model remain commutative. Signatures of this model at the LHC are discussed. We then discuss an application to a dark matter sector coupled to the Higgs sector of the standard model and show that here again, dark matter could be non-commutative, the standard model fields remaining commutative.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
