Descripción del proyecto
Una base matemática coherente para las teorías cuánticas
La teoría cuántica es uno de los pilares de la ciencia moderna. Su éxito se extiende desde los modelos elementales de mecánica cuántica hasta las teorías cuánticas de campos avanzadas, como el modelo estándar de la física de partículas, que es la cuantización de la teoría de gauge. Sin embargo, sigue faltando una fórmula matemática universal y precisa del procedimiento de cuantización. El objetivo general del proyecto ReNewQuantum, financiado con fondos europeos, es elaborar un enfoque matemático totalmente nuevo sobre la cuantización que se pueda aplicar a la teoría cuántica de campos y a la teoría de cuerdas. El nuevo enfoque debe ofrecer una descripción recurrente, explícita y global de las series de correcciones cuánticas, así como acceso a regímenes cuánticos exactos más allá de la teoría de perturbaciones.
Objetivo
The overarching goal of ReNewQuantum is to renew the mathematical foundation behind quantum phenomena.
We aim to construct a recursive and exact new approach to quantum theory. Quantum theory is one of the pillars of modern science. Its success stretches from elementary quantum mechanical models, developed a century ago by quantization of classical mechanics, to advanced quantum field theories such as the standard model of particle physics, which is the quantization of a gauge theory. However, a precise and universal mathematical formulation of the quantization procedure is still lacking. In addition, there are very few analytic methods in Quantum Mechanics and in Quantum Field Theory. They are typically based on approximation schemes which often lead to quantitative and even qualitative failures in our descriptions.
In response to these shortcomings, the main objective of ReNewQuantum is to construct a completely new
mathematical approach to quantization and to quantum systems. This quantum theory will provide:
- a global, explicit and recursive description of the series of quantum corrections,
- access to exact quantum regimes beyond perturbation theory,
- a well founded mathematical theory underlying the quantization procedure, based on geometric structures,
and applicable to quantum field theory and string theory.
ReNewQuantum will take the lead among the world scientific community in building this new theory of
quantum physics. The researchers behind ReNewQuantum have already made important contributions along
these directions. The construction of a recursive and exact new approach to quantum theory with the stated
properties will only be possible through their joint synergetic effort and a combination of their deep mathematical
and physical expertises, including geometry, topology and the mathematical theory of quantization (Andersen,
Kontsevich), and quantum mechanics, quantum field theory, random matrix theory and string theory (Eynard,
Mariño).
Ámbito científico
- natural sciencesphysical sciencestheoretical physicsparticle physics
- natural sciencesmathematicspure mathematicstopology
- natural sciencesphysical sciencesquantum physicsquantum field theory
- natural sciencesphysical sciencestheoretical physicsstring theory
- natural sciencesphysical sciencesclassical mechanics
Palabras clave
Programa(s)
Tema(s)
Régimen de financiación
ERC-SyG - Synergy grantInstitución de acogida
5230 Odense M
Dinamarca