Gauge independence and chiral symmetry breaking in a strong magnetic field
The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent truncation of the Schwinger–Dyson equations in the lowest Landau...
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| Veröffentlicht in: | Annals of physics 2007-03, Vol.322 (3), p.701-708 |
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| container_title | Annals of physics |
| container_volume | 322 |
| creator | Leung, C.N. Wang, S.-Y. |
| description | The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent truncation of the Schwinger–Dyson equations in the lowest Landau level approximation. We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger–Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent. |
| doi_str_mv | 10.1016/j.aop.2006.03.006 |
| format | Article |
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We present a (first, to the best of our knowledge) consistent truncation of the Schwinger–Dyson equations in the lowest Landau level approximation. We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger–Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/j.aop.2006.03.006</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>New York: Elsevier Inc</publisher><subject>11.30.Qc ; 11.30.Rd ; 12.20.−m ; APPROXIMATIONS ; CHIRAL SYMMETRY ; Chiral symmetry breaking ; DYSON REPRESENTATION ; FERMIONS ; Gauge independence ; GAUGE INVARIANCE ; MAGNETIC FIELDS ; MASS ; MATHEMATICAL SOLUTIONS ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM ELECTRODYNAMICS ; Quantum theory ; SCHWINGER FUNCTIONAL EQUATIONS ; SYMMETRY BREAKING</subject><ispartof>Annals of physics, 2007-03, Vol.322 (3), p.701-708</ispartof><rights>2006 Elsevier Inc.</rights><rights>Copyright © 2007 Elsevier B.V. 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We demonstrate that the dynamical fermion mass, obtained as the solution of the truncated Schwinger–Dyson equations evaluated on the fermion mass shell, is manifestly gauge independent.</description><subject>11.30.Qc</subject><subject>11.30.Rd</subject><subject>12.20.−m</subject><subject>APPROXIMATIONS</subject><subject>CHIRAL SYMMETRY</subject><subject>Chiral symmetry breaking</subject><subject>DYSON REPRESENTATION</subject><subject>FERMIONS</subject><subject>Gauge independence</subject><subject>GAUGE INVARIANCE</subject><subject>MAGNETIC FIELDS</subject><subject>MASS</subject><subject>MATHEMATICAL SOLUTIONS</subject><subject>Physics</subject><subject>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</subject><subject>QUANTUM ELECTRODYNAMICS</subject><subject>Quantum theory</subject><subject>SCHWINGER FUNCTIONAL EQUATIONS</subject><subject>SYMMETRY BREAKING</subject><issn>0003-4916</issn><issn>1096-035X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OwzAQhC0EEqXwANwsOCes49hJxAlVUECVuIDEzXKcTevQ_GCnSH17HIUzl509fLOaHUKuGcQMmLxrYt0PcQIgY-BxkBOyYFDICLj4PCULAOBRWjB5Ti68bwAYS0W-IK9rfdgitV2FA4bRGaS6q6jZWaf31B_bFkd3pKVD_WW7bSCppn50fdhbve1wtIbWFvfVJTmr9d7j1Z8uycfT4_vqOdq8rV9WD5vI8EKMUQGsQGk4YAqQ5ii14NKkgpWgsdS5yDQwnciKh790zTKTSClMVsqigJJnfElu57u9H63yxo5odqbvOjSjSqDIZJZCoG5manD99wH9qJr-4LoQTCVcZLkQfILYDBnXe--wVoOzrXZHxUBNvapGhV7V1KsCroIEz_3swfDjj0U3RZh6q6ybElS9_cf9C8k4fmk</recordid><startdate>20070301</startdate><enddate>20070301</enddate><creator>Leung, C.N.</creator><creator>Wang, S.-Y.</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>20070301</creationdate><title>Gauge independence and chiral symmetry breaking in a strong magnetic field</title><author>Leung, C.N. ; Wang, S.-Y.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c395t-9019e6c30e40048e6a536c451b0aeba857a01a26d3016af17c2665c7b6990b373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>11.30.Qc</topic><topic>11.30.Rd</topic><topic>12.20.−m</topic><topic>APPROXIMATIONS</topic><topic>CHIRAL SYMMETRY</topic><topic>Chiral symmetry breaking</topic><topic>DYSON REPRESENTATION</topic><topic>FERMIONS</topic><topic>Gauge independence</topic><topic>GAUGE INVARIANCE</topic><topic>MAGNETIC FIELDS</topic><topic>MASS</topic><topic>MATHEMATICAL SOLUTIONS</topic><topic>Physics</topic><topic>PHYSICS OF ELEMENTARY PARTICLES AND FIELDS</topic><topic>QUANTUM ELECTRODYNAMICS</topic><topic>Quantum theory</topic><topic>SCHWINGER FUNCTIONAL EQUATIONS</topic><topic>SYMMETRY BREAKING</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Leung, C.N.</creatorcontrib><creatorcontrib>Wang, S.-Y.</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>Leung, C.N.</au><au>Wang, S.-Y.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Gauge independence and chiral symmetry breaking in a strong magnetic field</atitle><jtitle>Annals of physics</jtitle><date>2007-03-01</date><risdate>2007</risdate><volume>322</volume><issue>3</issue><spage>701</spage><epage>708</epage><pages>701-708</pages><issn>0003-4916</issn><eissn>1096-035X</eissn><coden>APNYA6</coden><abstract>The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. 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| ispartof | Annals of physics, 2007-03, Vol.322 (3), p.701-708 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | 11.30.Qc 11.30.Rd 12.20.−m APPROXIMATIONS CHIRAL SYMMETRY Chiral symmetry breaking DYSON REPRESENTATION FERMIONS Gauge independence GAUGE INVARIANCE MAGNETIC FIELDS MASS MATHEMATICAL SOLUTIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM ELECTRODYNAMICS Quantum theory SCHWINGER FUNCTIONAL EQUATIONS SYMMETRY BREAKING |
| title | Gauge independence and chiral symmetry breaking in a strong magnetic field |
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