The imaginary-θ dependence of the SU(N) spectrum

2024/11/21 by Claudio Bonanno, Claudio Bonati, Bonanno, Claudio +5
Physics and Astronomy · #Relativity and Gravitational Theory #Cosmology and Gravitation Theories #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2411.14022

Abstract

In this talk we will report on a study of the θ-dependence of the string tension and of the mass gap of four-dimensional SU(N) Yang--Mills theories. The spectrum at N=3 and N=6 was obtained on the lattice at various imaginary values of the θ-parameter, using Parallel Tempering on Boundary Conditions to avoid topological freezing at fine lattice spacings. The coefficient of the O(θ²) term in the Taylor expansion of the spectrum around θ=0 could be obtained in the continuum limit for N=3, and on two fairly fine lattices for N=6.

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