Variational calculations in gauge theories
We investigate the possibility of using Gaussian trial wave functionals to describe some of the physics in gauge theories. We derive the variational equations and discuss their properties. In the case of the vacuum state we consider a special Gaussian ansatz whose expectation value corresponds to a...
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| Veröffentlicht in: | Annals of physics 1989-06, Vol.192 (2), p.408-420 |
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| container_end_page | 420 |
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| container_title | Annals of physics |
| container_volume | 192 |
| creator | Kerman, A.K Vautherin, D |
| description | We investigate the possibility of using Gaussian trial wave functionals to describe some of the physics in gauge theories. We derive the variational equations and discuss their properties. In the case of the vacuum state we consider a special Gaussian
ansatz whose expectation value corresponds to a constant magnetic field and whose kernel is the second variation of the classical energy around this configuration. We discuss the divergences occurring in the quadratic and quartic terms and conjecture that they can be absorbed by a renormalization of the coupling constant. This aspect will be examined in a future publication. |
| doi_str_mv | 10.1016/0003-4916(89)90143-7 |
| format | Article |
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ansatz whose expectation value corresponds to a constant magnetic field and whose kernel is the second variation of the classical energy around this configuration. We discuss the divergences occurring in the quadratic and quartic terms and conjecture that they can be absorbed by a renormalization of the coupling constant. This aspect will be examined in a future publication.</description><identifier>ISSN: 0003-4916</identifier><identifier>EISSN: 1096-035X</identifier><identifier>DOI: 10.1016/0003-4916(89)90143-7</identifier><identifier>CODEN: APNYA6</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>645400 - High Energy Physics- Field Theory ; COUPLING CONSTANTS ; ENERGY ; Exact sciences and technology ; FIELD THEORIES ; FUNCTIONS ; GAUGE INVARIANCE ; GAUSS FUNCTION ; HAMILTONIANS ; INVARIANCE PRINCIPLES ; KERNELS ; LIE GROUPS ; MAGNETIC FIELDS ; MATHEMATICAL OPERATORS ; Physics ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; QUANTUM FIELD THEORY ; QUANTUM OPERATORS ; RENORMALIZATION ; SU GROUPS ; SYMMETRY GROUPS ; VACUUM STATES ; VARIATIONAL METHODS ; WAVE FUNCTIONS</subject><ispartof>Annals of physics, 1989-06, Vol.192 (2), p.408-420</ispartof><rights>1989</rights><rights>1991 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c397t-23a75dd1122366dd8febf86ef850042f60e4bce6082e7cb03a6600f048b5b5d03</citedby><cites>FETCH-LOGICAL-c397t-23a75dd1122366dd8febf86ef850042f60e4bce6082e7cb03a6600f048b5b5d03</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/0003491689901437$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,776,780,881,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=19820722$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://in2p3.hal.science/in2p3-00016452$$DView record in HAL$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/5473007$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Kerman, A.K</creatorcontrib><creatorcontrib>Vautherin, D</creatorcontrib><title>Variational calculations in gauge theories</title><title>Annals of physics</title><description>We investigate the possibility of using Gaussian trial wave functionals to describe some of the physics in gauge theories. We derive the variational equations and discuss their properties. In the case of the vacuum state we consider a special Gaussian
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ansatz whose expectation value corresponds to a constant magnetic field and whose kernel is the second variation of the classical energy around this configuration. We discuss the divergences occurring in the quadratic and quartic terms and conjecture that they can be absorbed by a renormalization of the coupling constant. This aspect will be examined in a future publication.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/0003-4916(89)90143-7</doi><tpages>13</tpages></addata></record> |
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| ispartof | Annals of physics, 1989-06, Vol.192 (2), p.408-420 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | 645400 - High Energy Physics- Field Theory COUPLING CONSTANTS ENERGY Exact sciences and technology FIELD THEORIES FUNCTIONS GAUGE INVARIANCE GAUSS FUNCTION HAMILTONIANS INVARIANCE PRINCIPLES KERNELS LIE GROUPS MAGNETIC FIELDS MATHEMATICAL OPERATORS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS QUANTUM FIELD THEORY QUANTUM OPERATORS RENORMALIZATION SU GROUPS SYMMETRY GROUPS VACUUM STATES VARIATIONAL METHODS WAVE FUNCTIONS |
| title | Variational calculations in gauge theories |
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