Project Summary: StrongILA lies in the area of Quantum Field Theory applied to the Physics of Strong Interactions. We propose to study a number of physical quantities via state-of-the-art perturbative and nonperturbative calculations in Quantum Chromodynamics (QCD) and its supersymmetric counterpart, employing a wide spectrum of improved fermionic and gluonic actions defined on a spacetime lattice.
As its first major goal, this project will study flavor changing processes. In particular, we will calculate Green's functions with insertion of four-quark operators, which are of fundamental importance in the precise determination of the Cabibbo-Kobayashi-Maskawa matrix. We focus on both parity-conserving and parity-violating four-quark operators, which change flavor numbers by one unit. A novel Gauge Invariant Renormalization Scheme will be used to study these operators, and conversion factors to the Minimal Subtraction Scheme will be provided; this will allow us to connect results of simulations to experimental measurements.
A further part of the project regards the calculation of the mass corrections on the lattice QCD beta-function to three loops in perturbation theory and for improved actions. This function relates the bare coupling constant to the renormalized one and it is essential for determining the nonperturbative evolution of the coupling with the energy scale.
Another objective is the extraction of nonperturbative results for Supersymmetric Theories through a lattice regularization, using as a prototype model N=1 Supersymmetric QCD. To this end, we will compute mixing matrices for Noether supercurrent operator; the effect of these investigations will be seminal, enabling the study of spontaneous supersymmetry breaking.
Finally, we will study Ward identities by delving into the theoretical formation of bound states which result from strong interactions among quarks, gluons, and their superpartners, particularly focusing on operators which hold significant relevance to meson and baryon particles.

Details:

Programme	EXCELLENCE HUBS
Proposal Number	EXCELLENCE/0524/0001
Proposal Acronym	StrongILA
Funding	The project is implemented under the programme of social cohesion “THALIA 2021- 2027” co-funded by the European Union, through Research and Innovation Foundation.