Estimating $$\chi _\mathrm {top}$$ χtop lattice artifacts from flowed SU(2) calorons
Abstract Lattice computations of the high-temperature topological susceptibility of QCD receive lattice-spacing corrections and suffer from systematics arising from the type and depth of gradient flow. We study the lattice spacing corrections to $$\chi _\mathrm {top}$$ χtop semi-analytically by expl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7008-9 |
| Summary: | Abstract Lattice computations of the high-temperature topological susceptibility of QCD receive lattice-spacing corrections and suffer from systematics arising from the type and depth of gradient flow. We study the lattice spacing corrections to $$\chi _\mathrm {top}$$ χtop semi-analytically by exploring the behavior of discretized Harrington–Shepard calorons under the action of different forms of gradient flow. From our study we conclude that $$N_\tau = 6$$ Nτ=6 is definitely too small of a time extent to study the theory at temperatures of order $$4~T_\mathrm {c}$$ 4Tc and we explore how the amount of gradient flow influences the continuum extrapolation. |
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| ISSN: | 1434-6044 1434-6052 |