Analyticity in theta on the lattice and the large volume limit of the topological susceptibility

Abstract

Non-analyticity of QCD with a θterm at θ=0 may signal a spontaneous breaking of both parity and time reversal invariance. We address this issue by investigating the large volume limit of the topological susceptibility $\chi$ in pure SU(3) gauge theory. We obtain an upper bound for the symmetry breaking order parameter <Q> and, as a byproduct, the value χ=(173.4(+/- 0.5)(+/- 1.2)(+1.1 / -0.2) MeV)^4 at β=6 (a approx= 0.1 fermi). The errors are the statistical error from our data, the one derived from the value used for Λ_L and an estimate of the systematic error respectively.

arXiv comment15 pages, corrected typos, added 1 reference, minor changes in text

References in corpus (15)

• Thermodynamics of SU(3) Lattice Gauge Theory
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• Possibility of spontaneous parity violation in hot QCD
• The high temperature phase transition in SU(N) gauge theories
• Theta dependence of SU(N) gauge theories
• Topological susceptibility at zero and finite $T$ in SU(3) Yang-Mills theory
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Renormalization and topological susceptibility on the lattice: SU(2) Yang-Mills theory
• Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
• Parity and CT realization in QCD
• Improved lattice operators: the case of the topological charge density
• Spontaneous Parity Violation in QCD At Finite Temperature: On the Inapplicability of the Vafa-Witten Theorem
• Validity Of The Vafa-Witten Proof On Absence Of Spontaneous Parity Breaking In QCD

Cited by in corpus (16)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Theta dependence of the deconfinement temperature in Yang-Mills theories
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Behaviour of the topological susceptibility in two colour QCD across the finite density transition
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach at finite temperature
• eta and eta' mesons and dimension 2 gluon condensate <A^2>
• η' Multiplicity and the Witten-Veneziano relation at finite temperature
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
• Image-processing the topological charge density in the CP(N-1) model
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• An upper limit to the electric dipole moment of the neutron from lattice QCD
• Analysis of systematic errors in the calculation of renormalization constants of the topological susceptibility on the lattice
• Understanding the U(1) problem through dyon configuration in the Abelian projection