Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow
The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with β=6.287–7.500 corresponding to the lattice spacing a=0.013–0.06...
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| Veröffentlicht in: | Physical review. D 2016-12, Vol.94 (11), Article 114512 |
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| container_title | Physical review. D |
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| creator | Kitazawa, Masakiyo Iritani, Takumi Asakawa, Masayuki Hatsuda, Tetsuo Suzuki, Hiroshi |
| description | The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with β=6.287–7.500 corresponding to the lattice spacing a=0.013–0.061 fm. The spatial (temporal) sizes are chosen to be Ns=64, 96, 128 (Nτ=12, 16, 20, 22, 24) with the aspect ratio, 5.33≤Ns/Nτ≤8. Double extrapolation, a→0 (the continuum limit) followed by t→0 (the zero flow-time limit), is taken using the numerical data. Above the critical temperature, the thermodynamic quantities are obtained with a few percent precision including statistical and systematic errors. The results are in good agreement with previous high-precision data obtained by using the integral method. |
| doi_str_mv | 10.1103/PhysRevD.94.114512 |
| format | Article |
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Numerical analyses are carried out with β=6.287–7.500 corresponding to the lattice spacing a=0.013–0.061 fm. The spatial (temporal) sizes are chosen to be Ns=64, 96, 128 (Nτ=12, 16, 20, 22, 24) with the aspect ratio, 5.33≤Ns/Nτ≤8. Double extrapolation, a→0 (the continuum limit) followed by t→0 (the zero flow-time limit), is taken using the numerical data. Above the critical temperature, the thermodynamic quantities are obtained with a few percent precision including statistical and systematic errors. 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The results are in good agreement with previous high-precision data obtained by using the integral method.</description><subject>Aspect ratio</subject><subject>Critical temperature</subject><subject>Equations of state</subject><subject>Flux density</subject><subject>Gauge theory</subject><subject>Gradient flow</subject><subject>Mathematical analysis</subject><subject>Momentum</subject><subject>Systematic errors</subject><subject>Tensors</subject><issn>2470-0010</issn><issn>2470-0029</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kEtLAzEUhYMoWLR_wFXAjS6m5jWPLKXWBxQUtSsXIZ25mU7pTNokU5l_b0rV1f04nHsv5yB0RcmEUsLv3laDf4f9w0SKKIiUshM0YiInCSFMnv4zJedo7P2aRMyIzCkdoa_ZrtehsR22BvugA2BjHf5Y3PBbXOu-BhxWYN2A940-IIYOXD0krW2hC32LA3Q-bvRdBQ7XTldN1LHZ2O9LdGb0xsP4d16gxePsc_qczF-fXqb386RkeRqSrCjylEJGdCqIEJnOgZSMVVSLIi2kXGZLXomKVZUptARIi9SAELTMQHLOl_wCXR_vbp3d9eCDWtvedfGlYjRmz2N8Gl3s6Cqd9d6BUVvXtNoNihJ16FH99aikUMce-Q9Iymbx</recordid><startdate>20161221</startdate><enddate>20161221</enddate><creator>Kitazawa, Masakiyo</creator><creator>Iritani, Takumi</creator><creator>Asakawa, Masayuki</creator><creator>Hatsuda, Tetsuo</creator><creator>Suzuki, Hiroshi</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20161221</creationdate><title>Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow</title><author>Kitazawa, Masakiyo ; Iritani, Takumi ; Asakawa, Masayuki ; Hatsuda, Tetsuo ; Suzuki, Hiroshi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c275t-688751e60a540446a7e0c22d1a485899b6b3d4d2ddf8a9ee585fe441c6e9333b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Aspect ratio</topic><topic>Critical temperature</topic><topic>Equations of state</topic><topic>Flux density</topic><topic>Gauge theory</topic><topic>Gradient flow</topic><topic>Mathematical analysis</topic><topic>Momentum</topic><topic>Systematic errors</topic><topic>Tensors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kitazawa, Masakiyo</creatorcontrib><creatorcontrib>Iritani, Takumi</creatorcontrib><creatorcontrib>Asakawa, Masayuki</creatorcontrib><creatorcontrib>Hatsuda, Tetsuo</creatorcontrib><creatorcontrib>Suzuki, Hiroshi</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kitazawa, Masakiyo</au><au>Iritani, Takumi</au><au>Asakawa, Masayuki</au><au>Hatsuda, Tetsuo</au><au>Suzuki, Hiroshi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow</atitle><jtitle>Physical review. D</jtitle><date>2016-12-21</date><risdate>2016</risdate><volume>94</volume><issue>11</issue><artnum>114512</artnum><issn>2470-0010</issn><eissn>2470-0029</eissn><abstract>The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with β=6.287–7.500 corresponding to the lattice spacing a=0.013–0.061 fm. The spatial (temporal) sizes are chosen to be Ns=64, 96, 128 (Nτ=12, 16, 20, 22, 24) with the aspect ratio, 5.33≤Ns/Nτ≤8. Double extrapolation, a→0 (the continuum limit) followed by t→0 (the zero flow-time limit), is taken using the numerical data. Above the critical temperature, the thermodynamic quantities are obtained with a few percent precision including statistical and systematic errors. The results are in good agreement with previous high-precision data obtained by using the integral method.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevD.94.114512</doi></addata></record> |
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| subjects | Aspect ratio Critical temperature Equations of state Flux density Gauge theory Gradient flow Mathematical analysis Momentum Systematic errors Tensors |
| title | Equation of state for SU(3) gauge theory via the energy-momentum tensor under gradient flow |
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