Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory

We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov projection,...

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Veröffentlicht in:	Physical Review, D D, 1997-06, Vol.55 (11), p.6730-6742
Hauptverfasser:	Bernstein, Kenneth, Di Cecio, Giuseppe, Haymaker, Richard W.
Format:	Artikel
Sprache:	eng
Schlagworte:	BAG MODEL CONFINEMENT DUALITY EXPECTATION VALUE FIELD OPERATORS GAUGE INVARIANCE HIGGS BOSONS LATTICE FIELD THEORY MONOPOLES ORDER PARAMETERS PHYSICS SU-2 GROUPS SUPERCONDUCTIVITY SYMMETRY BREAKING VACUUM STATES VORTICES
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container_end_page	6742
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container_title	Physical Review, D
container_volume	55
creator	Bernstein, Kenneth Di Cecio, Giuseppe Haymaker, Richard W.
description	We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov projection, confirming the connection between the dual superconductor order parameter and the existence of vortices. However, we find that the Polyakov Abelian projection is problematic, leaving the maximal Abelian projection as the best candidate to define an effective theory of confinement in this scenario. {copyright} {ital 1997} {ital The American Physical Society}
doi_str_mv	10.1103/PhysRevD.55.6730
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In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov projection, confirming the connection between the dual superconductor order parameter and the existence of vortices. However, we find that the Polyakov Abelian projection is problematic, leaving the maximal Abelian projection as the best candidate to define an effective theory of confinement in this scenario. {copyright} {ital 1997} {ital The American Physical Society}</description><subject>BAG MODEL</subject><subject>CONFINEMENT</subject><subject>DUALITY</subject><subject>EXPECTATION VALUE</subject><subject>FIELD OPERATORS</subject><subject>GAUGE INVARIANCE</subject><subject>HIGGS BOSONS</subject><subject>LATTICE FIELD THEORY</subject><subject>MONOPOLES</subject><subject>ORDER PARAMETERS</subject><subject>PHYSICS</subject><subject>SU-2 GROUPS</subject><subject>SUPERCONDUCTIVITY</subject><subject>SYMMETRY BREAKING</subject><subject>VACUUM STATES</subject><subject>VORTICES</subject><issn>0556-2821</issn><issn>1089-4918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNo1kE1Lw0AQhhdRsFbvHtebHlL3I5tNjqX1C4qK2vOyncw2KTFbsttC_70JrXMZGJ53eHkIueVswjmTj5_VIXzhfj5RapJpyc7IiLO8SNKC5-dkxJTKEpELfkmuQtiwfkQmR-R9vrMN3fsu1oCB2raka7tbI4XK9xdat3S6wqa2Ld12foMQsaTfy3vxQBsbh9CJjxX67nBNLpxtAt6c9pgsn59-Zq_J4uPlbTZdJCAyHZNSiwxXoLQDh04DL3LHc-EglbkGlJKJoXzBUK_AAi8LVClPrZMls1oqOSZ3x78-xNoEqCNCBb5t-4JGMalz3jPsyEDnQ-jQmW1X_9ruYDgzgzPz78woZQZn8g-wGWC5</recordid><startdate>19970601</startdate><enddate>19970601</enddate><creator>Bernstein, Kenneth</creator><creator>Di Cecio, Giuseppe</creator><creator>Haymaker, Richard W.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>19970601</creationdate><title>Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory</title><author>Bernstein, Kenneth ; Di Cecio, Giuseppe ; Haymaker, Richard W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c267t-d726ebc57fcfef7c198f182fc4387ce3302108990e7bcac1d9e5414af3d0a7353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>BAG MODEL</topic><topic>CONFINEMENT</topic><topic>DUALITY</topic><topic>EXPECTATION VALUE</topic><topic>FIELD OPERATORS</topic><topic>GAUGE INVARIANCE</topic><topic>HIGGS BOSONS</topic><topic>LATTICE FIELD THEORY</topic><topic>MONOPOLES</topic><topic>ORDER PARAMETERS</topic><topic>PHYSICS</topic><topic>SU-2 GROUPS</topic><topic>SUPERCONDUCTIVITY</topic><topic>SYMMETRY BREAKING</topic><topic>VACUUM STATES</topic><topic>VORTICES</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bernstein, Kenneth</creatorcontrib><creatorcontrib>Di Cecio, Giuseppe</creatorcontrib><creatorcontrib>Haymaker, Richard W.</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>Bernstein, Kenneth</au><au>Di Cecio, Giuseppe</au><au>Haymaker, Richard W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory</atitle><jtitle>Physical Review, D</jtitle><date>1997-06-01</date><risdate>1997</risdate><volume>55</volume><issue>11</issue><spage>6730</spage><epage>6742</epage><pages>6730-6742</pages><issn>0556-2821</issn><eissn>1089-4918</eissn><abstract>We explore vortex formation for Abelian projected SU(2) in the Polyakov gauge and compare the results with those calculated in the maximal Abelian gauge. In both gauges, a nonzero vacuum expectation value of a monopole field operator signals confinement. We find vortices in the Polyakov projection, confirming the connection between the dual superconductor order parameter and the existence of vortices. However, we find that the Polyakov Abelian projection is problematic, leaving the maximal Abelian projection as the best candidate to define an effective theory of confinement in this scenario. {copyright} {ital 1997} {ital The American Physical Society}</abstract><cop>United States</cop><doi>10.1103/PhysRevD.55.6730</doi><tpages>13</tpages></addata></record>
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subjects	BAG MODEL CONFINEMENT DUALITY EXPECTATION VALUE FIELD OPERATORS GAUGE INVARIANCE HIGGS BOSONS LATTICE FIELD THEORY MONOPOLES ORDER PARAMETERS PHYSICS SU-2 GROUPS SUPERCONDUCTIVITY SYMMETRY BREAKING VACUUM STATES VORTICES
title	Dual vortices and gauge choice in Abelian projected SU(2) lattice gauge theory
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