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L\\\"utgemeier","submitted_at":"1994-11-11T13:13:58Z","abstract_excerpt":"We establish a close relation between the spatial string tension of the (3+1)-dimensional $SU(3)$ gauge theory at finite temperature ($\\sigma_s$) and the string tension of the 3-dimensional $SU(3)$ gauge theory ($\\sigma_3$) which is similar to what has been found previously for $SU(2)$. We obtain $\\sqrt{\\sigma_3} = (0.554 \\pm 0.004) g_3^2$ and $\\sqrt{\\sigma_s} = (0.586 \\pm 0.045)g^2(T) T$, respectively. For temperatures larger than twice the critical temperature results are consistent with a temperature dependent coupling running according to the two-loop $\\beta$-function with $\\Lambda_T = 0.1"},"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":"hep-lat/9411020","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-11-11T13:13:58Z","cross_cats_sorted":[],"title_canon_sha256":"8eaab6aab69b104524a1851866178bec9e7525913579e4571208b514ab930dc6","abstract_canon_sha256":"6c035d555f891d288434f10afd4a043e76c39faca9320b79f93705621241e5c9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:06.890914Z","signature_b64":"jvnucT5ny5NSo18+29r3wVJ/aY4PUhdsvcPIpPqtDDC2jywL9iY8v56MpPdPwoysoix3djGv9ogucn5SAa4bAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13af1bbea090c38aa1a7785fd3531494539b5475a10c4371f1a8428e9f74ac07","last_reissued_at":"2026-07-04T15:57:06.890492Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:06.890492Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Three-Dimensional SU(3) gauge theory and the Spatial String Tension of the (3+1)-Dimensional Finite Temperature SU(3) Gauge Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"E. Laermann, F.~Karsch, M. L\\\"utgemeier","submitted_at":"1994-11-11T13:13:58Z","abstract_excerpt":"We establish a close relation between the spatial string tension of the (3+1)-dimensional $SU(3)$ gauge theory at finite temperature ($\\sigma_s$) and the string tension of the 3-dimensional $SU(3)$ gauge theory ($\\sigma_3$) which is similar to what has been found previously for $SU(2)$. We obtain $\\sqrt{\\sigma_3} = (0.554 \\pm 0.004) g_3^2$ and $\\sqrt{\\sigma_s} = (0.586 \\pm 0.045)g^2(T) T$, respectively. 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