Series expansions for the massive Schwinger model in Hamiltonian lattice theory
It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated and extrapolated to the continuum limit by mea...
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Veröffentlicht in: | Physical Review, D D, 1997-07, Vol.56 (1), p.55-67 |
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creator | Hamer, C. J. Weihong, Zheng Oitmaa, J. |
description | It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated and extrapolated to the continuum limit by means of integrated differential approximants, which are matched onto a weak-coupling expansion. The numerical estimates are compared with exact results and finite-lattice results calculated for an equivalent lattice spin model with long-range interactions. Both the heavy fermion and the light fermion limits of the model are explored in some detail. {copyright} {ital 1997} {ital The American Physical Society} |
doi_str_mv | 10.1103/PhysRevD.56.55 |
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J.</creatorcontrib><creatorcontrib>Weihong, Zheng</creatorcontrib><creatorcontrib>Oitmaa, J.</creatorcontrib><title>Series expansions for the massive Schwinger model in Hamiltonian lattice theory</title><title>Physical Review, D</title><description>It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated and extrapolated to the continuum limit by means of integrated differential approximants, which are matched onto a weak-coupling expansion. The numerical estimates are compared with exact results and finite-lattice results calculated for an equivalent lattice spin model with long-range interactions. Both the heavy fermion and the light fermion limits of the model are explored in some detail. {copyright} {ital 1997} {ital The American Physical Society}</description><subject>EIGENVALUES</subject><subject>FERMIONS</subject><subject>HAMILTONIANS</subject><subject>LATTICE FIELD THEORY</subject><subject>MASS SPECTRA</subject><subject>NUMERICAL ANALYSIS</subject><subject>PHYSICS</subject><subject>SERIES EXPANSION</subject><subject>SPIN</subject><subject>STRONG-COUPLING MODEL</subject><issn>0556-2821</issn><issn>1089-4918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNo1UEtLAzEYDKJgrV49xx-wNdnsl-4epT4qFCpWzyGbfnEju0lJQrX_3i3qXOYwD5gh5JqzGedM3L50h_SK-_sZyBnACZlwVjdF1fD6lEwYgCzKuuTn5CKlTzailGJC1huMDhPF7532yQWfqA2R5g7poFNye6Qb0305_4GRDmGLPXWeLvXg-hy80572Omdn8BgJ8XBJzqzuE1798ZS8Pz68LZbFav30vLhbFUbMq1zwUsi2sS0YaZE3ULeoKwFM223L5Lw2lldggQNrRT3K4wrOLBdtzbetBC2m5Oa3N6TsVDIuo-lM8B5NViB4U1WjZ_brMTGkFNGqXXSDjgfFmTpepv4vUyAVgPgB6mNhJw</recordid><startdate>19970701</startdate><enddate>19970701</enddate><creator>Hamer, C. J.</creator><creator>Weihong, Zheng</creator><creator>Oitmaa, J.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19970701</creationdate><title>Series expansions for the massive Schwinger model in Hamiltonian lattice theory</title><author>Hamer, C. J. ; Weihong, Zheng ; Oitmaa, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c374t-1236b9fb5c6fe1958bea4350afdb0678cf145f5150b3895849110f13b81db65a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>EIGENVALUES</topic><topic>FERMIONS</topic><topic>HAMILTONIANS</topic><topic>LATTICE FIELD THEORY</topic><topic>MASS SPECTRA</topic><topic>NUMERICAL ANALYSIS</topic><topic>PHYSICS</topic><topic>SERIES EXPANSION</topic><topic>SPIN</topic><topic>STRONG-COUPLING MODEL</topic><toplevel>online_resources</toplevel><creatorcontrib>Hamer, C. J.</creatorcontrib><creatorcontrib>Weihong, Zheng</creatorcontrib><creatorcontrib>Oitmaa, J.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physical Review, D</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hamer, C. J.</au><au>Weihong, Zheng</au><au>Oitmaa, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Series expansions for the massive Schwinger model in Hamiltonian lattice theory</atitle><jtitle>Physical Review, D</jtitle><date>1997-07-01</date><risdate>1997</risdate><volume>56</volume><issue>1</issue><spage>55</spage><epage>67</epage><pages>55-67</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><abstract>It is shown that detailed and accurate information about the mass spectrum of the massive Schwinger model can be obtained using the technique of strong-coupling series expansions. Extended strong-coupling series for the energy eigenvalues are calculated and extrapolated to the continuum limit by means of integrated differential approximants, which are matched onto a weak-coupling expansion. The numerical estimates are compared with exact results and finite-lattice results calculated for an equivalent lattice spin model with long-range interactions. Both the heavy fermion and the light fermion limits of the model are explored in some detail. {copyright} {ital 1997} {ital The American Physical Society}</abstract><cop>United States</cop><doi>10.1103/PhysRevD.56.55</doi><tpages>13</tpages></addata></record> |
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subjects | EIGENVALUES FERMIONS HAMILTONIANS LATTICE FIELD THEORY MASS SPECTRA NUMERICAL ANALYSIS PHYSICS SERIES EXPANSION SPIN STRONG-COUPLING MODEL |
title | Series expansions for the massive Schwinger model in Hamiltonian lattice theory |
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