On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator

On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator

The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2019-07
Hauptverfasser: Braun, M A, Kuzminskii, E M, Kozhedub, A V, Puchkov, A M, Vyazovsky, M I
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Field theory
Mathematics - Mathematical Physics
Physics - Computational Physics
Physics - High Energy Physics - Phenomenology
Physics - Mathematical Physics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Braun, M A
Kuzminskii, E M
Kozhedub, A V
Puchkov, A M
Vyazovsky, M I
description The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.
doi_str_mv 10.48550/arxiv.1907.06434
format Article
fullrecord <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_1907_06434</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2258497679</sourcerecordid><originalsourceid>FETCH-LOGICAL-a529-982219e37ef20a3d7570dfb460881647581b020ca15f801f1bbcff3c888fc31e3</originalsourceid><addsrcrecordid>eNotj89LwzAcxYMgOOb-AE8GPLfmZ5N6k6FOGOwy8FjS9pua0SYz6Yb-99bO04PHe4_3QeiOklxoKcmjid_unNOSqJwUgosrtGCc00wLxm7QKqUDIYQViknJF-hj5_H4CTh4yFo3gE8ueNPjCF0HweMhtNA_YXAd-LPpT5BwsHNjYwbXj8E747Hx7ewdYziazowh3qJra_oEq39dov3ry369yba7t_f18zYzkpVZqRmjJXAFlhHDWyUVaW0tCqI1LYSSmtaEkcZQaTWhltZ1Yy1vtNa24RT4Et1fZmfq6hjdYOJP9UdfzfRT4uGSmL59TffH6hBOcUJMFWNSi1IVquS_DiJc3w</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2258497679</pqid></control><display><type>article</type><title>On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator</title><source>arXiv.org</source><source>Open Access: Freely Accessible Journals by multiple vendors</source><creator>Braun, M A ; Kuzminskii, E M ; Kozhedub, A V ; Puchkov, A M ; Vyazovsky, M I</creator><creatorcontrib>Braun, M A ; Kuzminskii, E M ; Kozhedub, A V ; Puchkov, A M ; Vyazovsky, M I</creatorcontrib><description>The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1907.06434</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Eigenvalues ; Field theory ; Mathematics - Mathematical Physics ; Physics - Computational Physics ; Physics - High Energy Physics - Phenomenology ; Physics - Mathematical Physics</subject><ispartof>arXiv.org, 2019-07</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,784,885,27925</link.rule.ids><backlink>$$Uhttps://doi.org/10.48550/arXiv.1907.06434$$DView paper in arXiv$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.1140/epjc/s10052-019-7187-4$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink></links><search><creatorcontrib>Braun, M A</creatorcontrib><creatorcontrib>Kuzminskii, E M</creatorcontrib><creatorcontrib>Kozhedub, A V</creatorcontrib><creatorcontrib>Puchkov, A M</creatorcontrib><creatorcontrib>Vyazovsky, M I</creatorcontrib><title>On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator</title><title>arXiv.org</title><description>The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.</description><subject>Eigenvalues</subject><subject>Field theory</subject><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Computational Physics</subject><subject>Physics - High Energy Physics - Phenomenology</subject><subject>Physics - Mathematical Physics</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj89LwzAcxYMgOOb-AE8GPLfmZ5N6k6FOGOwy8FjS9pua0SYz6Yb-99bO04PHe4_3QeiOklxoKcmjid_unNOSqJwUgosrtGCc00wLxm7QKqUDIYQViknJF-hj5_H4CTh4yFo3gE8ueNPjCF0HweMhtNA_YXAd-LPpT5BwsHNjYwbXj8E747Hx7ewdYziazowh3qJra_oEq39dov3ry369yba7t_f18zYzkpVZqRmjJXAFlhHDWyUVaW0tCqI1LYSSmtaEkcZQaTWhltZ1Yy1vtNa24RT4Et1fZmfq6hjdYOJP9UdfzfRT4uGSmL59TffH6hBOcUJMFWNSi1IVquS_DiJc3w</recordid><startdate>20190731</startdate><enddate>20190731</enddate><creator>Braun, M A</creator><creator>Kuzminskii, E M</creator><creator>Kozhedub, A V</creator><creator>Puchkov, A M</creator><creator>Vyazovsky, M I</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190731</creationdate><title>On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator</title><author>Braun, M A ; Kuzminskii, E M ; Kozhedub, A V ; Puchkov, A M ; Vyazovsky, M I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a529-982219e37ef20a3d7570dfb460881647581b020ca15f801f1bbcff3c888fc31e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Eigenvalues</topic><topic>Field theory</topic><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Computational Physics</topic><topic>Physics - High Energy Physics - Phenomenology</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Braun, M A</creatorcontrib><creatorcontrib>Kuzminskii, E M</creatorcontrib><creatorcontrib>Kozhedub, A V</creatorcontrib><creatorcontrib>Puchkov, A M</creatorcontrib><creatorcontrib>Vyazovsky, M I</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</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>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Mathematics</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Braun, M A</au><au>Kuzminskii, E M</au><au>Kozhedub, A V</au><au>Puchkov, A M</au><au>Vyazovsky, M I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator</atitle><jtitle>arXiv.org</jtitle><date>2019-07-31</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1907.06434</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2019-07
issn 2331-8422
language eng
recordid cdi_arxiv_primary_1907_06434
source arXiv.org; Open Access: Freely Accessible Journals by multiple vendors
subjects Eigenvalues
Field theory
Mathematics - Mathematical Physics
Physics - Computational Physics
Physics - High Energy Physics - Phenomenology
Physics - Mathematical Physics
title On the one-dimensional reggeon model: eigenvalues of the Hamiltonian and the propagator
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-07T19%3A41%3A59IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=On%20the%20one-dimensional%20reggeon%20model:%20eigenvalues%20of%20the%20Hamiltonian%20and%20the%20propagator&rft.jtitle=arXiv.org&rft.au=Braun,%20M%20A&rft.date=2019-07-31&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.1907.06434&rft_dat=%3Cproquest_arxiv%3E2258497679%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2258497679&rft_id=info:pmid/&rfr_iscdi=true