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Baryonic operators in conformal field theories

Project description

Measuring baryon operators in conformal field theories

The Standard Model is the most widely accepted experimentally confirmed theory in physics. However, it cannot provide a sufficient explanation for some experimental observations, for instance bound states of quarks (baryons). The EU-funded BOICFT project will explore suitable generalisations of baryon excitations in quantum field theories that possess conformal symmetry and admit a large limit of fundamental fields. The proposed research will develop an alternative way of solving correlation functions in supersymmetric Yang–Mills theory. Specifically, it plans to advance a quantum spectral curve formalism originally designed for two-point correlators to describe a class of three-point correlators involving baryonic operators. The complicated perturbative description of baryons is both the challenge and the novelty of the study compared to earlier work.

Objective

"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."

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Topic(s)

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Funding Scheme

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MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)

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Call for proposal

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(opens in new window) H2020-MSCA-IF-2019

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Coordinator

STOCKHOLMS UNIVERSITET
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 191 852,16
Address
UNIVERSITETSVAGEN 10
10691 Stockholm
Sweden

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Region
Östra Sverige Stockholm Stockholms län
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 191 852,16
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