SU(N) gauge theories in the presence of a topological term
Luigi Del Debbio (1), Haralambos Panagopoulos (2), Ettore Vicari (3), ((1) SUPA, School of Physics, Univ. of Edinburgh, (2) Department of Physics,, Univ. of Cyprus, (3) Department of Physics, Univ. of Pisa)
TL;DR
This paper reviews recent lattice simulation results on how the ground-state energy and spectrum of four-dimensional SU(N) gauge theories depend on the topological theta term, supporting large-N scaling predictions.
Contribution
It provides a comprehensive review of Monte Carlo lattice results on theta dependence in SU(N) gauge theories, highlighting consistency with large-N theoretical expectations.
Findings
Theta dependence studied via lattice simulations
Results support large-N scaling scenarios
Analysis of topological charge distributions
Abstract
We review recent results on the theta dependence of the ground-state energy and spectrum of four-dimensional SU(N) gauge theories, where theta is the coefficient of the CP-violating topological term F-Fdual in the Lagrangian. In particular, we discuss the results obtained by Monte Carlo simulations of the lattice formulation of QCD, which allow the investigation of theta dependence around theta=0 by determining the moments of the topological charge distribution, and their correlations with other observables. The results for N=3 and larger values of N support the scenario obtained by general large-N scaling arguments.
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