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Energy-momentum spectrum for Lattice Quantum Chromodynamics models and quantum field theory models understood as vertex models

Grant number: 16/06975-1
Support type:Regular Research Grants
Duration: July 01, 2016 - September 30, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Paulo Afonso Faria da Veiga
Grantee:Paulo Afonso Faria da Veiga
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Assoc. researchers: Antonio Francisco Neto ; José Carlos Valencia Alvites

Abstract

This research proposal aims at extending our previous rigorous spectral results regarding the existence of baryon-baryon bound states in simplified lattice quantum chromodynamics (QCD) models to an Euclidean four lattice QCD with three quark flavor defined with the Wilson action in the strong coupling regime. We will also consider the different problem of analyzing questions related to stability bounds for lattice quantum field theories expressed as vertex models. Moreover, we want to re-visit the question of the existence of the continuum limit for these models using a recently defined scaled field. The determination of particles and the energy-momentum spectrum of quantum field theory models, their stability (the existence of the thermodynamic limit) and continuum limits are fundamental questions in theoretical physics. In particular, the QCD problem we will attack has a close relation with the nomination of two Nobel prizes to Yukawa and Gell-Mann, and targets at understanding nuclear physics from first principles, i.e. starting from quarks, gluons and their QCD dynamics. (AU)