The ACGT order-of-limits prescription fails to reproduce the correct θ-dependent energy spectrum in the quantum rotor and quantum pendulum.
QCD at Fixed Topology
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Since present Monte Carlo algorithms for lattice QCD may become trapped in a fixed topological charge sector, it is important to understand the effect of calculating at fixed topology. In this work, we show that although the restriction to a fixed topological sector becomes irrelevant in the infinite volume limit, it gives rise to characteristic finite size effects due to contributions from all $\theta$-vacua. We calculate these effects and show how to extract physical results from numerical data obtained at fixed topology.
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Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.
In chiral SU(N) gauge theories with mixed one- and two-index matter, the CFL-phase coset topology yields no Skyrmions yet permits stable heavy baryons protected by unbroken symmetries, unlike vector-like models; theta anomalies on domain walls are matched without extra light modes when color is full
A framework is developed to predict axion-induced time modulations in weak nuclear decays, used to derive constraints on the axion decay constant from reanalyzed Gran Sasso data on 40K and 137Cs and to propose future sensitivity to higher masses.
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.
citing papers explorer
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A particle on a ring or: how I learned to stop worrying and love $\theta$-vacua
The ACGT order-of-limits prescription fails to reproduce the correct θ-dependent energy spectrum in the quantum rotor and quantum pendulum.
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Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
Out-of-equilibrium simulations with open-to-periodic boundary switching plus a tailored stochastic normalizing flow enable efficient topology sampling in the continuum limit of four-dimensional SU(3) Yang-Mills theory.
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Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories
In chiral SU(N) gauge theories with mixed one- and two-index matter, the CFL-phase coset topology yields no Skyrmions yet permits stable heavy baryons protected by unbroken symmetries, unlike vector-like models; theta anomalies on domain walls are matched without extra light modes when color is full
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Weak nuclear decays deep-underground as a probe of axion dark matter
A framework is developed to predict axion-induced time modulations in weak nuclear decays, used to derive constraints on the axion decay constant from reanalyzed Gran Sasso data on 40K and 137Cs and to propose future sensitivity to higher masses.
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FLAG Review 2024
The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.