Finite volume effects in SU(2) with two adjoint fermions

TL;DR

This paper investigates finite volume effects on the mesonic spectrum of SU(2) gauge theory with two adjoint fermions, providing insights into IR conformality and the importance of volume extrapolation in lattice simulations.

Contribution

It analyzes how finite lattice size influences the mesonic spectrum in SU(2) with two adjoint fermions, aiding the understanding of IR conformality in lattice studies.

Findings

Finite volume effects significantly impact the mesonic spectrum.

Boundary conditions alter the observed spectrum.

Finite volume extrapolation is crucial for IR conformality analysis.

Abstract

Many evidences from lattice simulations support the idea that SU(2) with two Dirac flavors in the adjoint representation (also called Minimal Walking Technicolor) is IR conformal. A possible way to see this is through the behavior of the spectrum of the mass-deformed theory. When fermions are massive, a mass-gap is generated and the theory is confined. IR-conformality is recovered in the chiral limit: masses of particles vanish in the chiral limit, while their ratios stay finite. In order to trust this analysis one has to relay on the infinite volume extrapolation. We will discuss the finite volume effects on the mesonic spectrum, investigated by varying the size of the lattice and by changing the boundary conditions for the fields.