论文标题

(现象学/与晶格兼容的)$ su(3)$ m $χ$ pt hd高达$ {\ cal o}(p^4)$和$ {\ cal o} \ left(r^4 \ right)$ - 大$ n $连接

(Phenomenology/Lattice-Compatible) $SU(3)$ M$χ$PT HD up to ${\cal O}(p^4)$ and the ${\cal O}\left(R^4\right)$-Large-$N$ Connection

论文作者

Yadav, Vikas, Yadav, Gopal, Misra, Aalok

论文摘要

在文献中迄今在文献中却遥遥无期的($ {\ cal m} $ - 理论的提升($ {\ cal m} $ - 理论上的提升),获得与实验数据相对应的低能量有效理论的耦合常数,即使在(vector)中间扇区($ {\ cal m} $ - 理论上的提升)中,uv-complete-complete string理论偶的值也远到远。我们通过获得$ {\ cal o}(p^4)$ $ $ $ $ $ $ pt lagrangian的耦合常数的值,涉及NGBS和$ρ$ Meson和$ρ$ MESON(及其味道伙伴)的$ {\ cal m} $ n $ n $ ng-y-typer of themy y y的$ ngbs(及其风味伙伴)的$ {\ cal o}(p^4)(p^4)(p^4)$} $ n $ ng-ng y y y y $ ngbs y y y qut,我们迈出了第一步。 o}(r^4)$校正。我们观察到,确保与Arxiv:1510.01634 [hep-ph]所给出的现象学/晶格结果(值)的兼容性需要与$ {\ cal O}(r^4)$更正和大$ n $抑制有关的关系。换句话说,QCD要求较高的衍生校正和大量$ n $抑制的校正在其M/字符串理论双重二元上是相关的。作为奖励,我们明确表明,$ {\ cal o}(r^4)$校正对$ {\ cal m} $ - 理论上的理论提升,可以始终如一地消失。

Obtaining the values of the coupling constants of the low energy effective theory corresponding to QCD, compatible with experimental data, even in the (vector) mesonic sector from (the ${\cal M}$-theory uplift of) a UV-complete string theory dual, has thus far been missing in the literature. We take the first step in this direction by obtaining the values of the coupling constants of the ${\cal O}(p^4)$ $χ$PT Lagrangian in the chiral limit involving the NGBs and $ρ$ meson (and its flavor partners) from the ${\cal M}$-theory /type IIA dual of large-$N$ thermal QCD, inclusive of the ${\cal O}(R^4)$ corrections. We observe that ensuring compatibility with phenomenological/lattice results (the values ) as given in arXiv:1510.01634[hep-ph], requires a relationship relating the ${\cal O}(R^4)$ corrections and large-$N$ suppression. In other words, QCD demands that the higher derivative corrections and the large-$N$ suppressed corrections in its M/string theory dual are related. As a bonus, we explicitly show that the ${\cal O}(R^4)$ corrections in the UV to the ${\cal M}$-theory uplift of the type IIB dual of large-$N$ thermal QCD, can be consistently set to be vanishingly small.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源