From the Dirac operator to Wess–Zumino models on spatial lattices
We investigate two-dimensional Wess–Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking lattice artifacts. We study the non-local and antisymmetric SL...
Gespeichert in:
| Veröffentlicht in: | Annals of physics 2005-04, Vol.316 (2), p.357-392 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 392 |
|---|---|
| container_issue | 2 |
| container_start_page | 357 |
| container_title | Annals of physics |
| container_volume | 316 |
| creator | Kirchberg, A. Länge, J.D. Wipf, A. |
| description | We investigate two-dimensional Wess–Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking lattice artifacts. We study the non-local and antisymmetric SLAC derivative which allows for chiral fermions without doublers and minimizes those artifacts. The supercharges of the lattice Wess–Zumino models are obtained by dimensional reduction of Dirac operators in high-dimensional spaces. The normalizable zero modes of the models with N=1 and N=2 supersymmetry are counted and constructed in the weak- and strong-coupling limits. Together with known methods from operator theory this gives us complete control of the zero mode sector of these theories for arbitrary coupling. |
| doi_str_mv | 10.1016/j.aop.2004.09.002 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_osti_</sourceid><recordid>TN_cdi_osti_scitechconnect_20690139</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S000349160400168X</els_id><sourcerecordid>3695809071</sourcerecordid><originalsourceid>FETCH-LOGICAL-c353t-65c5ec92b81b0c55540c0d3793e9e35faa2b2b8a0f51b0a0f4778b83f0b34e833</originalsourceid><addsrcrecordid>eNp9kMFKxDAURYMoOI5-gLuA69aXpuk0uJLRUUFwoyhuQpp5ZTK0TU0ygjv_wT_0S8wwgjtXb_HuvRwOIacMcgasOl_n2o15AVDmIHOAYo9MGMgqAy5e9skEAHhWSlYdkqMQ1gCMlaKekPnCu57GFdIr67WhbkSvo_M0OvqMIXx_fr1uejs42rsldoG6gYZRR6s72ukYrcFwTA5a3QU8-b1T8rS4fpzfZvcPN3fzy_vMcMFjVgkj0MiiqVkDRghRgoEln0mOErlotS6a9NTQihRIp5zN6qbmLTS8xJrzKTnb7boQrQrGRjQr44YBTVQFVBIYl3-p0bu3DYao1m7jhwSmWJVWEosoU4rtUsa7EDy2avS21_5DMVBbo2qtklG1NapAqmQ0dS52neQB3y36LQMOBpfWbxGWzv7T_gHf432c</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1683335354</pqid></control><display><type>article</type><title>From the Dirac operator to Wess–Zumino models on spatial lattices</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Kirchberg, A. ; Länge, J.D. ; Wipf, A.</creator><creatorcontrib>Kirchberg, A. ; Länge, J.D. ; Wipf, A.</creatorcontrib><description>We investigate two-dimensional Wess–Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking lattice artifacts. We study the non-local and antisymmetric SLAC derivative which allows for chiral fermions without doublers and minimizes those artifacts. The supercharges of the lattice Wess–Zumino models are obtained by dimensional reduction of Dirac operators in high-dimensional spaces. The normalizable zero modes of the models with N=1 and N=2 supersymmetry are counted and constructed in the weak- and strong-coupling limits. Together with known methods from operator theory this gives us complete control of the zero mode sector of these theories for arbitrary coupling.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2004.09.002</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>CHIRALITY ; Dirac operator ; DIRAC OPERATORS ; FERMIONS ; Lattice ; MANY-DIMENSIONAL CALCULATIONS ; MATHEMATICAL SPACE ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; STANFORD LINEAR ACCELERATOR CENTER ; STRONG-COUPLING MODEL ; SUPERSYMMETRY ; SYMMETRY BREAKING ; TWO-DIMENSIONAL CALCULATIONS</subject><ispartof>Annals of physics, 2005-04, Vol.316 (2), p.357-392</ispartof><rights>2004 Elsevier Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c353t-65c5ec92b81b0c55540c0d3793e9e35faa2b2b8a0f51b0a0f4778b83f0b34e833</citedby><cites>FETCH-LOGICAL-c353t-65c5ec92b81b0c55540c0d3793e9e35faa2b2b8a0f51b0a0f4778b83f0b34e833</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.aop.2004.09.002$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/20690139$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Kirchberg, A.</creatorcontrib><creatorcontrib>Länge, J.D.</creatorcontrib><creatorcontrib>Wipf, A.</creatorcontrib><title>From the Dirac operator to Wess–Zumino models on spatial lattices</title><title>Annals of physics</title><description>We investigate two-dimensional Wess–Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking lattice artifacts. We study the non-local and antisymmetric SLAC derivative which allows for chiral fermions without doublers and minimizes those artifacts. The supercharges of the lattice Wess–Zumino models are obtained by dimensional reduction of Dirac operators in high-dimensional spaces. The normalizable zero modes of the models with N=1 and N=2 supersymmetry are counted and constructed in the weak- and strong-coupling limits. Together with known methods from operator theory this gives us complete control of the zero mode sector of these theories for arbitrary coupling.</description><subject>CHIRALITY</subject><subject>Dirac operator</subject><subject>DIRAC OPERATORS</subject><subject>FERMIONS</subject><subject>Lattice</subject><subject>MANY-DIMENSIONAL CALCULATIONS</subject><subject>MATHEMATICAL SPACE</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>STANFORD LINEAR ACCELERATOR CENTER</subject><subject>STRONG-COUPLING MODEL</subject><subject>SUPERSYMMETRY</subject><subject>SYMMETRY BREAKING</subject><subject>TWO-DIMENSIONAL CALCULATIONS</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNp9kMFKxDAURYMoOI5-gLuA69aXpuk0uJLRUUFwoyhuQpp5ZTK0TU0ygjv_wT_0S8wwgjtXb_HuvRwOIacMcgasOl_n2o15AVDmIHOAYo9MGMgqAy5e9skEAHhWSlYdkqMQ1gCMlaKekPnCu57GFdIr67WhbkSvo_M0OvqMIXx_fr1uejs42rsldoG6gYZRR6s72ukYrcFwTA5a3QU8-b1T8rS4fpzfZvcPN3fzy_vMcMFjVgkj0MiiqVkDRghRgoEln0mOErlotS6a9NTQihRIp5zN6qbmLTS8xJrzKTnb7boQrQrGRjQr44YBTVQFVBIYl3-p0bu3DYao1m7jhwSmWJVWEosoU4rtUsa7EDy2avS21_5DMVBbo2qtklG1NapAqmQ0dS52neQB3y36LQMOBpfWbxGWzv7T_gHf432c</recordid><startdate>200504</startdate><enddate>200504</enddate><creator>Kirchberg, A.</creator><creator>Länge, J.D.</creator><creator>Wipf, A.</creator><general>Elsevier Inc</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>OTOTI</scope></search><sort><creationdate>200504</creationdate><title>From the Dirac operator to Wess–Zumino models on spatial lattices</title><author>Kirchberg, A. ; Länge, J.D. ; Wipf, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-65c5ec92b81b0c55540c0d3793e9e35faa2b2b8a0f51b0a0f4778b83f0b34e833</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>CHIRALITY</topic><topic>Dirac operator</topic><topic>DIRAC OPERATORS</topic><topic>FERMIONS</topic><topic>Lattice</topic><topic>MANY-DIMENSIONAL CALCULATIONS</topic><topic>MATHEMATICAL SPACE</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>STANFORD LINEAR ACCELERATOR CENTER</topic><topic>STRONG-COUPLING MODEL</topic><topic>SUPERSYMMETRY</topic><topic>SYMMETRY BREAKING</topic><topic>TWO-DIMENSIONAL CALCULATIONS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kirchberg, A.</creatorcontrib><creatorcontrib>Länge, J.D.</creatorcontrib><creatorcontrib>Wipf, A.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Annals of physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kirchberg, A.</au><au>Länge, J.D.</au><au>Wipf, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>From the Dirac operator to Wess–Zumino models on spatial lattices</atitle><jtitle>Annals of physics</jtitle><date>2005-04</date><risdate>2005</risdate><volume>316</volume><issue>2</issue><spage>357</spage><epage>392</epage><pages>357-392</pages><issn>0003-4916</issn><eissn>1096-035X</eissn><coden>APNYA6</coden><abstract>We investigate two-dimensional Wess–Zumino models in the continuum and on spatial lattices in detail. We show that a non-antisymmetric lattice derivative not only excludes chiral fermions but in addition introduces supersymmetry breaking lattice artifacts. We study the non-local and antisymmetric SLAC derivative which allows for chiral fermions without doublers and minimizes those artifacts. The supercharges of the lattice Wess–Zumino models are obtained by dimensional reduction of Dirac operators in high-dimensional spaces. The normalizable zero modes of the models with N=1 and N=2 supersymmetry are counted and constructed in the weak- and strong-coupling limits. Together with known methods from operator theory this gives us complete control of the zero mode sector of these theories for arbitrary coupling.</abstract><cop>New York</cop><pub>Elsevier Inc</pub><doi>10.1016/j.aop.2004.09.002</doi><tpages>36</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0003-4916 |
| ispartof | Annals of physics, 2005-04, Vol.316 (2), p.357-392 |
| issn | 0003-4916 1096-035X |
| language | eng |
| recordid | cdi_osti_scitechconnect_20690139 |
| source | Elsevier ScienceDirect Journals Complete |
| subjects | CHIRALITY Dirac operator DIRAC OPERATORS FERMIONS Lattice MANY-DIMENSIONAL CALCULATIONS MATHEMATICAL SPACE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS STANFORD LINEAR ACCELERATOR CENTER STRONG-COUPLING MODEL SUPERSYMMETRY SYMMETRY BREAKING TWO-DIMENSIONAL CALCULATIONS |
| title | From the Dirac operator to Wess–Zumino models on spatial lattices |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-05T08%3A04%3A07IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_osti_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=From%20the%20Dirac%20operator%20to%20Wess%E2%80%93Zumino%20models%20on%20spatial%20lattices&rft.jtitle=Annals%20of%20physics&rft.au=Kirchberg,%20A.&rft.date=2005-04&rft.volume=316&rft.issue=2&rft.spage=357&rft.epage=392&rft.pages=357-392&rft.issn=0003-4916&rft.eissn=1096-035X&rft.coden=APNYA6&rft_id=info:doi/10.1016/j.aop.2004.09.002&rft_dat=%3Cproquest_osti_%3E3695809071%3C/proquest_osti_%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1683335354&rft_id=info:pmid/&rft_els_id=S000349160400168X&rfr_iscdi=true |