H2020Индивидуална стипендия2020–2022

BOICFT · Baryonic operators in conformal field theories

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2020-10-01 → 2022-09-30
Финансиране от ЕС: 191 852 €
Участници: 1
Схема: MSCA-IF

Линиите свързват координатора с партньорите.

Накратко на български

Квантовите полета и техните оператори се изследват чрез модели, които описват силно свързани частици като барионите. Това помага за по-доброто разбиране на физичните процеси там, където стандартните методи за изчисляване на слабите сили не работят.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Baryonic operators in conformal field theories

Quantum field theory (QFT) underpins our understanding of physics and influences a wide array of mathematics. The agreement experiment-prediction is reliant on the ability to calculate physical information. Our methods have control over weak forces, when correlators are power series in the coupling constant (the small parameter governing the force strength). This hinders the study of nuclear phenomena (strongly-bound particles, e.g. baryons) or intense electric forces (probed by Wilson loops). We developed the analytic command in systems with enhanced symmetries, where the intermediate coupling is within reach. One model shares features with nuclear phenomena (supersymmetric Yang-Mills theory, dubbed the “harmonic oscillator of the 21st century” for the centrality among QFTs). The other (“fishnet” theory) is relevant to condensed-matter physics. Two publications concerned baryonic operators: a follow-up of the Researcher's blueprint at the base of the Fellowship and the first charting of their properties in fishnets. A third work proposes an equation to measure certain Wilson loops at arbitrary coupling, with implications for a massive deformation of the model and matrix integrals in mathematics. The scientific impact is on the understanding of QFTs beyond the weak-force approximation. The methodology is likely to become a base for further investigations from integrable QFTs to matrix models. Training, advising and endorsing students impact the society and economy: expertise in mathematics is the most sought-after in data science. One trainee was endorsed for a PhD in DESY Hamburg and another won an internship at Goldman Sachs in London. One public and three school lectures have contributed to attract talents into STEM and to engage the public with the results of taxpayers’ funding. Many ideas (symmetry, baryons) have been explained with thought-provoking questions ("Can you tell reality and its mirror apart?"), references to novels/movies and demos (as simple as playing cards and chess pieces to cathode-ray tubes).

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

The current theoretical description of the fundamental constituents of matter is the Standard Model of particle physics. Despite the unprecedented experimental verification, most of its predictive power is limited to the regime where particles interact weakly, hence impeding the study of bound states, such as baryons, where interactions are strong. This proposal aims to study suitable generalizations of these particle excitations – ""baryonic"" operators composed of a number N of fundamental fields at a common point in spacetime – in quantum field theories that possess conformal symmetry and admit a large-N limit. These conditions are essential for the methods used in this proposal, which are based on quantum integrability of the relevant theory and on techniques for analytic resummation of Feynman diagrams. The proposed research will extend in a non-trivial way the recent progress in solving correlation functions at finite coupling in maximally supersymmetric Yang-Mills theory. Specifically, we plan to advance the state of the art of integrability, in the form of the Quantum Spectral Curve formalism originally designed for two-point correlators, to describe a class of three-point correlators involving baryonic (also known as determinant or giant-graviton) operators. We also strive to achieve a finite-coupling description of baryonic correlators through an appropriate diagrammatical methodology. Specifically, we plan to realize this goal in the non-supersymmetric gamma-deformation of the Yang-Mills theory and, finally, to adapt it to the quantum mechanical model proposed by Sachdev, Ye and Kitaev. The complicated perturbative description of baryons is both the challenge and the novelty, compared to earlier works for single-trace operators in the same theories. This proposal details a plan for dissemination and communication of its results to specialists and the general public, as well as training for the benefit of the experienced researcher.""

Оригинален текст от CORDIS (на английски).

Участници

STOCKHOLMS UNIVERSITET · StockholmКоординаторШвеция