Effective field theory bootstrap, large-N χPT and holographic QCD

被引：10

作者：

Li, Yue-Zhou ^{[1
,2
]}

机构：

[1] Princeton Univ, Dept Phys, Princeton, NJ 08544 USA

[2] McGill Univ, Dept Phys, Rue Univ 3600, Montreal, PQ H3A 2T8, Canada

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 2024卷 / 01期

基金：

美国国家科学基金会;

关键词：

Chiral Lagrangian; Effective Field Theories; 1/N Expansion; Gauge-Gravity Correspondence; PERTURBATION-THEORY; SYMMETRY; U(1); MASS;

D O I：

10.1007/JHEP01(2024)072

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the large-N chiral perturbation theory (chi PT) and observe excellent convergence of EFT bounds between the dual (rule-out) and primal (rule-in) methods. This convergence aligns with the predictions of duality theory in SDP, enabling us to analyze the bound states and resonances in the ultra-violet (UV) spectrum. Furthermore, we incorporate the upper bound of unitarity to uniformly constrain the EFT space from the UV scale M using the primal method, thereby confirming the consistency of the large-N expansion. In the end, we translate the large-N chi PT bounds to constrain the higher derivative corrections of holographic QCD models.

引用

页数：52

共 49 条

[41] Two-leg SU(2n) spin ladder: A low-energy effective field theory approach [J].

Lecheminant, P. ;

Tsvelik, A. M. .

PHYSICAL REVIEW B, 2015, 91 (17)

[42] Large-Nc and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory [J].

Nguyen, Son T. ;

Schindler, Matthias R. ;

Springer, Roxanne P. ;

Vanasse, Jared .

PHYSICAL REVIEW C, 2021, 103 (05)

[43] Holographic boundary conformal field theory with TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} deformation [J].

Zhi Wang ;

Feiyu Deng .

Journal of High Energy Physics, 2025 (1)

[44] Holographic Wilson loops in symmetric representations in N=2∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} = {2}^{\ast } $$\end{document} super-Yang-Mills theory [J].

Xinyi Chen-Lin ;

Amit Dekel ;

Konstantin Zarembo .

Journal of High Energy Physics, 2016 (2)

[45] Field theory aspects of non-Abelian T-duality and N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} =2 linear quivers [J].

Yolanda Lozano ;

Carlos Núñez .

Journal of High Energy Physics, 2016 (5)

[46] Signals of a new phase in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 2 gauge theory with a magnetic field on the three-sphere [J].

Suphakorn Chunlen ;

Kasper Peeters ;

Pichet Vanichchapongjaroen ;

Marija Zamaklar .

Journal of High Energy Physics, 2014 (9)

[47] Kaluza-Klein fermion mass matrices from exceptional field theory and N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 1 spectra [J].

Mattia Cesàro ;

Oscar Varela .

Journal of High Energy Physics, 2021 (3)

[48] (Phenomenology/Lattice-Compatible) SU(3) MχPT HD up to O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(p4) and the O\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(R4)-Large-N Connection [J].

Vikas Yadav ;

Gopal Yadav ;

Aalok Misra .

Journal of High Energy Physics, 2021 (8)

[49] Effective field theory approach to lepton number violating decays K±→π∓lα±lβ±:\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {K}^{\pm}\to {\pi}^{\mp }{l}_{\alpha}^{\pm }{l}_{\beta}^{\pm }: $$\end{document} long-distance contribution [J].

Yi Liao ;

Xiao-Dong Ma ;

Hao-Lin Wang .

Journal of High Energy Physics, 2020 (3)

← 1 2 3 4 5 →