The rotator spectrum in the delta-regime of the O(n) effective field theory in 3 and 4 dimensions

Abstract

The low lying spectrum of the O(n) effective field theory is calculated in the delta-regime in 3 and 4 space-time dimensions using lattice regularization to NNL order. It allows, in particular, to determine, using numerical simulations in different spatial volumes, the pion decay constant F in QCD with 2 flavours or the spin stiffness rho for an antiferromagnet in d=2+1 dimensions.

20 pages, no figures

References in corpus (3)

• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Constraint Effective Potential of the Staggered Magnetization in an Antiferromagnet
• The QCD rotator with a light quark mass

Cited by in corpus (14)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• Very High Precision Determination of Low-Energy Parameters: The 2-d Heisenberg Quantum Antiferromagnet as a Test Case
• Interpolation between the epsilon and p regimes
• Low-Energy QCD in the Delta Regime
• Comparison of algorithms for solving the sign problem in the O(3) model in 1+1 dimensions at finite chemical potential
• Matching effective chiral Lagrangians with dimensional and lattice regularization
• QCD in the delta-Regime
• Casimir squared correction to the standard rotator Hamiltonian for the O($n$) sigma-model in the delta-regime
• Isospin susceptibility in the O($n$) sigma-model in the delta-regime
• Rotor Spectra and Berry Phases in the Chiral Limit of QCD on a Torus
• Finite volume mass gap and free energy of the SU(N)xSU(N) chiral sigma model
• Non-perturbative evaluation for anomalous dimension in 2-dimensional O(3) sigma model
• High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice