Phase structure of non-commutative scalar field theories
Nucl.Phys. B605 (2001) 395-424 We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent one-loop analysis indicates that the transition into these ordered phases is first order. The phase st...
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creator | Gubser, Steven S Sondhi, Shivaji L |
description | Nucl.Phys. B605 (2001) 395-424 We investigate the phase structure of non-commutative scalar field theories
and find evidence for ordered phases which break translation invariance. A
self-consistent one-loop analysis indicates that the transition into these
ordered phases is first order. The phase structure and the existence of scaling
limits provides an alternative to the structure of counter-terms in determining
the renormalizability of non-commutative field theories. On the basis of the
existence of a critical point in the closely related planar theory, we argue
that there are renormalizable interacting non-commutative scalar field theories
in dimensions two and above. We exhibit this renormalization explicitly in the
large $N$ limit of a non-commutative O(N) vector model. |
doi_str_mv | 10.48550/arxiv.hep-th/0006119 |
format | Article |
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and find evidence for ordered phases which break translation invariance. A
self-consistent one-loop analysis indicates that the transition into these
ordered phases is first order. The phase structure and the existence of scaling
limits provides an alternative to the structure of counter-terms in determining
the renormalizability of non-commutative field theories. On the basis of the
existence of a critical point in the closely related planar theory, we argue
that there are renormalizable interacting non-commutative scalar field theories
in dimensions two and above. We exhibit this renormalization explicitly in the
large $N$ limit of a non-commutative O(N) vector model.</description><identifier>DOI: 10.48550/arxiv.hep-th/0006119</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory ; Physics - Mesoscale and Nanoscale Physics</subject><creationdate>2000-06</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/hep-th/0006119$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1016/S0550-3213(01)00108-0$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.hep-th/0006119$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gubser, Steven S</creatorcontrib><creatorcontrib>Sondhi, Shivaji L</creatorcontrib><title>Phase structure of non-commutative scalar field theories</title><description>Nucl.Phys. B605 (2001) 395-424 We investigate the phase structure of non-commutative scalar field theories
and find evidence for ordered phases which break translation invariance. A
self-consistent one-loop analysis indicates that the transition into these
ordered phases is first order. The phase structure and the existence of scaling
limits provides an alternative to the structure of counter-terms in determining
the renormalizability of non-commutative field theories. On the basis of the
existence of a critical point in the closely related planar theory, we argue
that there are renormalizable interacting non-commutative scalar field theories
in dimensions two and above. We exhibit this renormalization explicitly in the
large $N$ limit of a non-commutative O(N) vector model.</description><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA1NNAzsTA1NdBPLKrILNPLSC3QLcnQNzAwMDM0tORksAjISCxOVSguKSpNLiktSlXIT1PIy8_TTc7PzS0tSSzJLANKJifmJBYppGWm5qQolGSk5hdlphbzMLCmJeYUp_JCaW4GZTfXEGcPXbA98QVFmbmJRZXxQPviSzLiofYZE6cKAHkiOjw</recordid><startdate>20000616</startdate><enddate>20000616</enddate><creator>Gubser, Steven S</creator><creator>Sondhi, Shivaji L</creator><scope>GOX</scope></search><sort><creationdate>20000616</creationdate><title>Phase structure of non-commutative scalar field theories</title><author>Gubser, Steven S ; Sondhi, Shivaji L</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_hep_th_00061193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Gubser, Steven S</creatorcontrib><creatorcontrib>Sondhi, Shivaji L</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gubser, Steven S</au><au>Sondhi, Shivaji L</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phase structure of non-commutative scalar field theories</atitle><date>2000-06-16</date><risdate>2000</risdate><abstract>Nucl.Phys. B605 (2001) 395-424 We investigate the phase structure of non-commutative scalar field theories
and find evidence for ordered phases which break translation invariance. A
self-consistent one-loop analysis indicates that the transition into these
ordered phases is first order. The phase structure and the existence of scaling
limits provides an alternative to the structure of counter-terms in determining
the renormalizability of non-commutative field theories. On the basis of the
existence of a critical point in the closely related planar theory, we argue
that there are renormalizable interacting non-commutative scalar field theories
in dimensions two and above. We exhibit this renormalization explicitly in the
large $N$ limit of a non-commutative O(N) vector model.</abstract><doi>10.48550/arxiv.hep-th/0006119</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - High Energy Physics - Theory Physics - Mesoscale and Nanoscale Physics |
title | Phase structure of non-commutative scalar field theories |
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