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fixes normalization of the 4d SU(N) topological charge
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Diff for: gauge_theory/gauge_theory.py

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Original file line numberDiff line numberDiff line change
@@ -294,13 +294,13 @@ def topo_charge_density_4d(cfg):
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gauge_adj(open_plaqs_below(cfg, mu, nu)) +
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open_plaqs_above(cfg, nu, mu) +
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open_plaqs_below_behind(cfg, mu, nu)
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) / 4
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) / 2
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F_rhosig = (
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open_plaqs_above(cfg, rho, sig) +
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gauge_adj(open_plaqs_below(cfg, rho, sig)) +
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open_plaqs_above(cfg, sig, rho) +
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open_plaqs_below_behind(cfg, rho, sig)
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) / 4
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) / 2
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F_munu = gauge_proj_traceless((F_munu - gauge_adj(F_munu)) / 2)
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F_rhosig = gauge_proj_traceless((F_rhosig - gauge_adj(F_rhosig)) / 2)
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topo = topo - np.trace(F_munu @ F_rhosig, axis1=-1, axis2=-2)

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