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Towards critical physics in 2+1d with U(2N )-invariant fermions
Simon Hands
Journal of High Energy Physics, Volume: 2016, Issue: 11
Swansea University Author: Simon Hands
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JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0
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DOI (Published version): 10.1007/JHEP11(2016)015
Abstract
Interacting theories of N relativistic fermion flavors in reducible spinor rep- resentations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit that the wall separation Ls is made large. The Gross-Neve...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
2016
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa30962 |
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<?xml version="1.0"?><rfc1807><datestamp>2020-07-16T16:31:45.7183245</datestamp><bib-version>v2</bib-version><id>30962</id><entry>2016-11-07</entry><title>Towards critical physics in 2+1d with U(2N )-invariant fermions</title><swanseaauthors><author><sid>b34293f7370adc1d2cac9b93717a61c7</sid><firstname>Simon</firstname><surname>Hands</surname><name>Simon Hands</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2016-11-07</date><abstract>Interacting theories of N relativistic fermion flavors in reducible spinor rep- resentations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit that the wall separation Ls is made large. The Gross-Neveu (GN) model is studied in the large-N limit and an exponential acceleration of convergence to the large-Ls limit is demonstrated if the usual parity-invariant mass mψ ̄ψ is replaced by the U(2N)-equivalent im3ψ ̄γ3ψ. The GN model and two lattice variants of the Thirring model are simulated for N = 2 using a hybrid Monte Carlo algorithm, and studies made of the symmetry-breaking bilinear con- densate and its associated susceptibility, the axial Ward identity, and the mass spectrum of both fermion and meson excitations. Comparisons are made with existing results ob- tained using staggered fermions. For the GN model a symmetry-breaking phase transition is observed, the Ward identity is recovered, and the spectrum found to be consistent with large-N expectations. There appears to be no obstruction to the study of critical UV fixed-point physics using DWF. For the Thirring model the Ward identity is not recovered, the spectroscopy measurements are inconclusive, and no symmetry breaking is observed all the way up to the effective strong coupling limit. This is consistent with a critical Thirring flavor number Nc < 2, contradicting earlier staggered fermion results.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2016</volume><journalNumber>11</journalNumber><publisher/><issnElectronic>1029-8479</issnElectronic><keywords/><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2016</publishedYear><publishedDate>2016-12-31</publishedDate><doi>10.1007/JHEP11(2016)015</doi><url/><notes/><college>COLLEGE NANME</college><CollegeCode>COLLEGE CODE</CollegeCode><institution>Swansea University</institution><degreesponsorsfunders>SCOAP3</degreesponsorsfunders><apcterm/><lastEdited>2020-07-16T16:31:45.7183245</lastEdited><Created>2016-11-07T01:54:24.7236992</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Simon</firstname><surname>Hands</surname><order>1</order></author></authors><documents><document><filename>0030962-21122016143401.pdf</filename><originalFilename>HandsJHEP2016VOR.pdf</originalFilename><uploaded>2016-12-21T14:34:01.2700000</uploaded><type>Output</type><contentLength>730757</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><embargoDate>2016-12-21T00:00:00.0000000</embargoDate><documentNotes>JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0</documentNotes><copyrightCorrect>true</copyrightCorrect></document></documents><OutputDurs/></rfc1807> |
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2020-07-16T16:31:45.7183245 v2 30962 2016-11-07 Towards critical physics in 2+1d with U(2N )-invariant fermions b34293f7370adc1d2cac9b93717a61c7 Simon Hands Simon Hands true false 2016-11-07 Interacting theories of N relativistic fermion flavors in reducible spinor rep- resentations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit that the wall separation Ls is made large. The Gross-Neveu (GN) model is studied in the large-N limit and an exponential acceleration of convergence to the large-Ls limit is demonstrated if the usual parity-invariant mass mψ ̄ψ is replaced by the U(2N)-equivalent im3ψ ̄γ3ψ. The GN model and two lattice variants of the Thirring model are simulated for N = 2 using a hybrid Monte Carlo algorithm, and studies made of the symmetry-breaking bilinear con- densate and its associated susceptibility, the axial Ward identity, and the mass spectrum of both fermion and meson excitations. Comparisons are made with existing results ob- tained using staggered fermions. For the GN model a symmetry-breaking phase transition is observed, the Ward identity is recovered, and the spectrum found to be consistent with large-N expectations. There appears to be no obstruction to the study of critical UV fixed-point physics using DWF. For the Thirring model the Ward identity is not recovered, the spectroscopy measurements are inconclusive, and no symmetry breaking is observed all the way up to the effective strong coupling limit. This is consistent with a critical Thirring flavor number Nc < 2, contradicting earlier staggered fermion results. Journal Article Journal of High Energy Physics 2016 11 1029-8479 31 12 2016 2016-12-31 10.1007/JHEP11(2016)015 COLLEGE NANME COLLEGE CODE Swansea University SCOAP3 2020-07-16T16:31:45.7183245 2016-11-07T01:54:24.7236992 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Simon Hands 1 0030962-21122016143401.pdf HandsJHEP2016VOR.pdf 2016-12-21T14:34:01.2700000 Output 730757 application/pdf Version of Record true 2016-12-21T00:00:00.0000000 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 true |
| title |
Towards critical physics in 2+1d with U(2N )-invariant fermions |
| spellingShingle |
Towards critical physics in 2+1d with U(2N )-invariant fermions Simon Hands |
| title_short |
Towards critical physics in 2+1d with U(2N )-invariant fermions |
| title_full |
Towards critical physics in 2+1d with U(2N )-invariant fermions |
| title_fullStr |
Towards critical physics in 2+1d with U(2N )-invariant fermions |
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Towards critical physics in 2+1d with U(2N )-invariant fermions |
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Towards critical physics in 2+1d with U(2N )-invariant fermions |
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b34293f7370adc1d2cac9b93717a61c7 |
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b34293f7370adc1d2cac9b93717a61c7_***_Simon Hands |
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Simon Hands |
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Simon Hands |
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Journal of High Energy Physics |
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2016 |
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10.1007/JHEP11(2016)015 |
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| description |
Interacting theories of N relativistic fermion flavors in reducible spinor rep- resentations in 2+1 spacetime dimensions are formulated on a lattice using domain wall fermions (DWF), for which a U(2N) global symmetry is recovered in the limit that the wall separation Ls is made large. The Gross-Neveu (GN) model is studied in the large-N limit and an exponential acceleration of convergence to the large-Ls limit is demonstrated if the usual parity-invariant mass mψ ̄ψ is replaced by the U(2N)-equivalent im3ψ ̄γ3ψ. The GN model and two lattice variants of the Thirring model are simulated for N = 2 using a hybrid Monte Carlo algorithm, and studies made of the symmetry-breaking bilinear con- densate and its associated susceptibility, the axial Ward identity, and the mass spectrum of both fermion and meson excitations. Comparisons are made with existing results ob- tained using staggered fermions. For the GN model a symmetry-breaking phase transition is observed, the Ward identity is recovered, and the spectrum found to be consistent with large-N expectations. There appears to be no obstruction to the study of critical UV fixed-point physics using DWF. For the Thirring model the Ward identity is not recovered, the spectroscopy measurements are inconclusive, and no symmetry breaking is observed all the way up to the effective strong coupling limit. This is consistent with a critical Thirring flavor number Nc < 2, contradicting earlier staggered fermion results. |
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2016-12-31T19:01:44Z |
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11.04748 |