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We consider gauge field configurations $A^a_\\mu$ which give rise to a field strength, $F^a_{\\mu\\nu} =\\partial_\\mu A^a_\\nu -\\partial_\\nu A^a_\\mu + f^{abc}A^b_\\mu A^c_\\nu$, whose nonlinear term, $ f^{abc}A^b_\\mu A^c_\\nu$, turns out to be nonvanishing. To our knowledge, this is the first time where such a non-abelian configuration is explicitly obtained in the case of SU(3) in 4D."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1212.4098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T18:47:34Z","cross_cats_sorted":[],"title_canon_sha256":"bd82d894c5532afbaafa785ed42e1be0714b58399c45e09e34f0069375f320b6","abstract_canon_sha256":"a42eaeac3704f676726b31b790b61690c468de0b82860d5d7d482002554b30e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:46.438049Z","signature_b64":"VXWOSGKlInFt26UHJaBkBL3Lz4+E4G/9V0w+E9tOEqgyjwtDfQ15z1tqt5lsNBMktAhJ3lVsHw5o1zWY4+o6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78cdaf93110faa543ef41578beaffcfe0ba7cb45002a9f26d518ca4d4a0aebf3","last_reissued_at":"2026-05-18T02:58:46.437151Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:46.437151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the zero modes of the Faddev-Popov operator in the Landau gauge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. 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