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2D Ising Field Theory in a magnetic field: the Yang-Lee singularity
A bstract We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee f...
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| Published in: | The journal of high energy physics 2022-08, Vol.2022 (8), p.57-41, Article 57 |
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| cites | cdi_FETCH-LOGICAL-c417t-164195e07d2cbe4d9bf21b836b46b985dd4918183fc98a0ba0ff2402fd1698633 |
| container_end_page | 41 |
| container_issue | 8 |
| container_start_page | 57 |
| container_title | The journal of high energy physics |
| container_volume | 2022 |
| creator | Xu, Hao-Lan Zamolodchikov, Alexander |
| description | A
bstract
We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee fixed point (= minimal CFT
M
2
/
5
), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the “Truncated Free Fermion Space Approach” to estimate the couplings associated with two least irrelevant operators. One is the operator
T
T
¯
, and we use the universal properties of the
T
T
¯
deformation to fix the contributions of higher orders in the corresponding coupling parameter
α
. Another irrelevant operator we deal with is the descendant
L_
4
L
¯
_
4
ϕ
of the relevant primary
ϕ
in
M
2
/
5
. The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass
M
(= inverse correlation length) as the function of complex magnetic field. |
| doi_str_mv | 10.1007/JHEP08(2022)057 |
| format | article |
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bstract
We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee fixed point (= minimal CFT
M
2
/
5
), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the “Truncated Free Fermion Space Approach” to estimate the couplings associated with two least irrelevant operators. One is the operator
T
T
¯
, and we use the universal properties of the
T
T
¯
deformation to fix the contributions of higher orders in the corresponding coupling parameter
α
. Another irrelevant operator we deal with is the descendant
L_
4
L
¯
_
4
ϕ
of the relevant primary
ϕ
in
M
2
/
5
. The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass
M
(= inverse correlation length) as the function of complex magnetic field.</description><identifier>ISSN: 1029-8479</identifier><identifier>EISSN: 1029-8479</identifier><identifier>DOI: 10.1007/JHEP08(2022)057</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Classical and Quantum Gravitation ; Couplings ; Critical point ; Curie temperature ; Elementary Particles ; Fermions ; Field Theories in Lower Dimensions ; Field theory ; Fine structure ; Fixed points (mathematics) ; High energy physics ; Integrable Field Theories ; Ising model ; Magnetic fields ; Operators (mathematics) ; Particle mass ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Renormalization Group ; Scale and Conformal Symmetries ; Singularities ; String Theory</subject><ispartof>The journal of high energy physics, 2022-08, Vol.2022 (8), p.57-41, Article 57</ispartof><rights>The Author(s) 2022</rights><rights>The Author(s) 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c417t-164195e07d2cbe4d9bf21b836b46b985dd4918183fc98a0ba0ff2402fd1698633</citedby><cites>FETCH-LOGICAL-c417t-164195e07d2cbe4d9bf21b836b46b985dd4918183fc98a0ba0ff2402fd1698633</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/2848478309/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2848478309?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,25753,27924,27925,37012,44590,75126</link.rule.ids></links><search><creatorcontrib>Xu, Hao-Lan</creatorcontrib><creatorcontrib>Zamolodchikov, Alexander</creatorcontrib><title>2D Ising Field Theory in a magnetic field: the Yang-Lee singularity</title><title>The journal of high energy physics</title><addtitle>J. High Energ. Phys</addtitle><description>A
bstract
We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee fixed point (= minimal CFT
M
2
/
5
), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the “Truncated Free Fermion Space Approach” to estimate the couplings associated with two least irrelevant operators. One is the operator
T
T
¯
, and we use the universal properties of the
T
T
¯
deformation to fix the contributions of higher orders in the corresponding coupling parameter
α
. Another irrelevant operator we deal with is the descendant
L_
4
L
¯
_
4
ϕ
of the relevant primary
ϕ
in
M
2
/
5
. The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass
M
(= inverse correlation length) as the function of complex magnetic field.</description><subject>Classical and Quantum Gravitation</subject><subject>Couplings</subject><subject>Critical point</subject><subject>Curie temperature</subject><subject>Elementary Particles</subject><subject>Fermions</subject><subject>Field Theories in Lower Dimensions</subject><subject>Field theory</subject><subject>Fine structure</subject><subject>Fixed points (mathematics)</subject><subject>High energy physics</subject><subject>Integrable Field Theories</subject><subject>Ising model</subject><subject>Magnetic fields</subject><subject>Operators (mathematics)</subject><subject>Particle mass</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Field Theories</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Regular Article - Theoretical Physics</subject><subject>Relativity Theory</subject><subject>Renormalization Group</subject><subject>Scale and Conformal Symmetries</subject><subject>Singularities</subject><subject>String Theory</subject><issn>1029-8479</issn><issn>1029-8479</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><sourceid>DOA</sourceid><recordid>eNp1kL1PwzAQxSMEEqUws1pigSH07DiJzYZKC0WVYCgDk-X4I02VJsVOh_73OAQBC9Od7t57d_pF0SWGWwyQT56fZq_ArgkQcgNpfhSNMBAeM5rz4z_9aXTm_QYAp5jDKJqSB7TwVVOieWVqjVZr07oDqhok0VaWjekqhWy_ukPd2qB32ZTx0hjUe_a1dFV3OI9OrKy9ufiu4-htPltNn-Lly-Nier-MFcV5F-OMYp4ayDVRhaGaF5bggiVZQbOCs1RryjHDLLGKMwmFBGsJBWI1zjjLkmQcLYZc3cqN2LlqK91BtLISX4PWlUK68G9tRKpzagpFaaETqnTOLJUZME0SnSrNWci6GrJ2rv3YG9-JTbt3TXhfEEYDKJYAD6rJoFKu9d4Z-3MVg-ipi4G66KmLQD04YHD4oGxK435z_7N8AkVWgX8</recordid><startdate>20220801</startdate><enddate>20220801</enddate><creator>Xu, Hao-Lan</creator><creator>Zamolodchikov, Alexander</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><general>SpringerOpen</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>DOA</scope></search><sort><creationdate>20220801</creationdate><title>2D Ising Field Theory in a magnetic field: the Yang-Lee singularity</title><author>Xu, Hao-Lan ; Zamolodchikov, Alexander</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c417t-164195e07d2cbe4d9bf21b836b46b985dd4918183fc98a0ba0ff2402fd1698633</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Classical and Quantum Gravitation</topic><topic>Couplings</topic><topic>Critical point</topic><topic>Curie temperature</topic><topic>Elementary Particles</topic><topic>Fermions</topic><topic>Field Theories in Lower Dimensions</topic><topic>Field theory</topic><topic>Fine structure</topic><topic>Fixed points (mathematics)</topic><topic>High energy physics</topic><topic>Integrable Field Theories</topic><topic>Ising model</topic><topic>Magnetic fields</topic><topic>Operators (mathematics)</topic><topic>Particle mass</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Field Theories</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Regular Article - Theoretical Physics</topic><topic>Relativity Theory</topic><topic>Renormalization Group</topic><topic>Scale and Conformal Symmetries</topic><topic>Singularities</topic><topic>String Theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xu, Hao-Lan</creatorcontrib><creatorcontrib>Zamolodchikov, Alexander</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Directory of Open Access Journals</collection><jtitle>The journal of high energy physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xu, Hao-Lan</au><au>Zamolodchikov, Alexander</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>2D Ising Field Theory in a magnetic field: the Yang-Lee singularity</atitle><jtitle>The journal of high energy physics</jtitle><stitle>J. High Energ. Phys</stitle><date>2022-08-01</date><risdate>2022</risdate><volume>2022</volume><issue>8</issue><spage>57</spage><epage>41</epage><pages>57-41</pages><artnum>57</artnum><issn>1029-8479</issn><eissn>1029-8479</eissn><abstract>A
bstract
We study Ising Field Theory (the scaling limit of Ising model near the Curie critical point) in pure imaginary external magnetic field. We put particular emphasis on the detailed structure of the Yang-Lee edge singularity. While the leading singular behavior is controlled by the Yang-Lee fixed point (= minimal CFT
M
2
/
5
), the fine structure of the subleading singular terms is determined by the effective action which involves a tower of irrelevant operators. We use numerical data obtained through the “Truncated Free Fermion Space Approach” to estimate the couplings associated with two least irrelevant operators. One is the operator
T
T
¯
, and we use the universal properties of the
T
T
¯
deformation to fix the contributions of higher orders in the corresponding coupling parameter
α
. Another irrelevant operator we deal with is the descendant
L_
4
L
¯
_
4
ϕ
of the relevant primary
ϕ
in
M
2
/
5
. The significance of this operator is that it is the lowest dimension operator which breaks integrability of the effective theory. We also establish analytic properties of the particle mass
M
(= inverse correlation length) as the function of complex magnetic field.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/JHEP08(2022)057</doi><tpages>41</tpages><oa>free_for_read</oa></addata></record> |
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| subjects | Classical and Quantum Gravitation Couplings Critical point Curie temperature Elementary Particles Fermions Field Theories in Lower Dimensions Field theory Fine structure Fixed points (mathematics) High energy physics Integrable Field Theories Ising model Magnetic fields Operators (mathematics) Particle mass Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory Renormalization Group Scale and Conformal Symmetries Singularities String Theory |
| title | 2D Ising Field Theory in a magnetic field: the Yang-Lee singularity |
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