Renormalization of the Topological Charge in Yang-Mills Theory

Abstract

The conditions leading to a nontrivial renormalization of the topological charge in four--dimensional Yang--Mills theory are discussed. It is shown that if the topological term is regarded as the limit of a certain nontopological interaction, quantum effects due to the gauge bosons lead to a finite multiplicative renormalization of the theta--parameter while fermions give rise to an additional shift of theta. A truncated form of an exact renormalization group equation is used to study the scale dependence of the theta--parameter. Possible implications for the strong CP--problem of QCD are discussed.

31 pages, latex

References in corpus (1)

• The Electroweak Phase Transition through the Renormalization Group

Cited by in corpus (41)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• The nonperturbative functional renormalization group and its applications
• Renormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
• Quantum Einstein Gravity
• Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
• Fractal Spacetime Structure in Asymptotically Safe Gravity
• Cosmology of the Planck Era from a Renormalization Group for Quantum Gravity
• Renormalization group improved gravitational actions: a Brans-Dicke approach
• Bimetric Renormalization Group Flows in Quantum Einstein Gravity
• Bimetric Truncations for Quantum Einstein Gravity and Asymptotic Safety
• Quantum Gravity at Astrophysical Distances?
• Running Newton Constant, Improved Gravitational Actions, and Galaxy Rotation Curves
• Matter Induced Bimetric Actions for Gravity
• From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
• Running Gauge Coupling in Asymptotically Safe Quantum Gravity
• Background Independence and Asymptotic Safety in Conformally Reduced Gravity
• Quantum gravity: a fluctuating point of view
• A class of nonlocal truncations in Quantum Einstein Gravity and its renormalization group behavior
• Entropy signature of the running cosmological constant
• Wilsonian flows and background fields
• Quantum Gravity Effects in the Kerr Spacetime
• Conformal sector of Quantum Einstein Gravity in the local potential approximation: non-Gaussian fixed point and a phase of unbroken diffeomorphism invariance
• A Minimal Length from the Cutoff Modes in Asymptotically Safe Quantum Gravity
• The role of Background Independence for Asymptotic Safety in Quantum Einstein Gravity
• Asymptotic Safety, Fractals, and Cosmology
• Scale-dependent metric and causal structures in Quantum Einstein Gravity
• On the physical mechanism underlying Asymptotic Safety
• Renormalization group flow of Hořava-Lifshitz gravity at low energies
• Primordial Entropy Production and Lambda-driven Inflation from Quantum Einstein Gravity
• Exact Flow Equations and the U(1)-Problem
• Entropy Production during Asymptotically Safe Inflation
• Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge
• On the Possibility of Quantum Gravity Effects at Astrophysical Scales
• RG flow equations for the proper-vertices of the background effective average action
• Effective Average Action in N=1 Super-Yang-Mills Theory
• Renormalization Flow of Axion Electrodynamics
• Scale Dependent Metric and Minimal Length in QEG
• Renormalization of the Nonlinear O(3) Model with Theta-Term
• Study of topological quantities of lattice QCD with a modified Wasserstein generative adversarial network
• The $\theta$-vacuum from functional renormalisation