超立方理论中的异常维数

IF 5 1区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Alexander Bednyakov, Johan Henriksson, Stefanos R. Kousvos
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引用次数: 1

摘要

本文对具有超三次全局对称的多标量理论中的算子谱进行了全面的微扰研究。这包括计算对称表示及其相应的张量结构。然后使用这些结构来计算具有最多四个字段和任意表示到六循环顺序的标量算子的异常维。此外,我们确定了频谱中包含更多基本场的幂次和/或导数插入的大量低洼算子的单环异常维数。作为题外话,我们展示了在共形自举中使用的投影仪如何在计算异常维时方便地重用。本文的研究结果对保角自举具有一定的指导意义。它们还阐明了共形微扰理论和大n展开的特征。我们的结果可能对统计领域理论中的各种交叉现象感兴趣。我们总共计算了300多个算子的缩放维度,其中16个被计算为六循环。对于任何数量的口味n,我们的分析对于群论来说是详尽的,直到排名4,并且对于n≥4存在的表示也是详尽的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Anomalous dimensions in hypercubic theories
A bstract We perform a comprehensive perturbative study of the operator spectrum in multi-scalar theories with hypercubic global symmetry. This includes working out symmetry representations and their corresponding tensor structures. These structures are then used to compute the anomalous dimensions of scalar operators with up to four fields and arbitrary representations to six-loop order. Moreover, we determine one-loop anomalous dimensions for a large number of low-lying operators in the spectrum which include more powers of the fundamental field and/or insertions of derivatives. As an aside we show how projectors used in the conformal bootstrap can be conveniently reused in computations of anomalous dimensions. The results of our study are of use to the conformal bootstrap. They also illuminate features of conformal perturbation theory and the large n expansion. Our results may be of interest for various crossover phenomena in statistical field theory. In total, we compute the scaling dimension of more than 300 operators, of which 16 are computed to six-loops. Our analysis is exhaustive with respect to group theory up to rank 4 for any number of flavours n , and also exhaustive with respect to which representations exist for n ⩽ 4.
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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics PHYSICS, PARTICLES & FIELDS-
CiteScore
10.00
自引率
46.30%
发文量
2107
审稿时长
12 weeks
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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