Anatomy of Two-Loop Effective Action in Noncommutative Field Theories

We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theo...

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Detalles Bibliográficos
Autores principales: Kiem, Young-jai, Kim, Sung-Soo, Rey, Soo-Jong, Sato, Haru-Tada
Lenguaje:eng
Publicado: 2001
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(02)00589-8
http://cds.cern.ch/record/521889
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author Kiem, Young-jai
Kim, Sung-Soo
Rey, Soo-Jong
Sato, Haru-Tada
author_facet Kiem, Young-jai
Kim, Sung-Soo
Rey, Soo-Jong
Sato, Haru-Tada
author_sort Kiem, Young-jai
collection CERN
description We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2001
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spelling cern-5218892023-03-14T20:20:08Zdoi:10.1016/S0550-3213(02)00589-8http://cds.cern.ch/record/521889engKiem, Young-jaiKim, Sung-SooRey, Soo-JongSato, Haru-TadaAnatomy of Two-Loop Effective Action in Noncommutative Field TheoriesParticle Physics - TheoryWe compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative $\lambda[\Phi^3]_\star$-theory for both planar (g=0, h=3) and nonplanar (g=1, h=1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg-Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.We compute, at two-loop order, one-particle-irreducible Green functions and effective action in noncommutative λ [ Φ 3 ] ★ -theory for both planar ( g =0, h =3) and nonplanar ( g =1, h =1) contributions. We adopt worldline formulation of the Feynman diagrammatics so that relation to string theory diagrammatics is made transparent in the Seiberg–Witten limit. We argue that the resulting two-loop effective action is expressible via open Wilson lines: one-particle-irreducible effective action is generating functional of connected diagrams for interacting open Wilson lines.hep-th/0110066SNUST-01-0901PUPT-2009PUPT-2009SNUST-2001-09-01oai:cds.cern.ch:5218892001-10-08
spellingShingle Particle Physics - Theory
Kiem, Young-jai
Kim, Sung-Soo
Rey, Soo-Jong
Sato, Haru-Tada
Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title_full Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title_fullStr Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title_full_unstemmed Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title_short Anatomy of Two-Loop Effective Action in Noncommutative Field Theories
title_sort anatomy of two-loop effective action in noncommutative field theories
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(02)00589-8
http://cds.cern.ch/record/521889
work_keys_str_mv AT kiemyoungjai anatomyoftwoloopeffectiveactioninnoncommutativefieldtheories
AT kimsungsoo anatomyoftwoloopeffectiveactioninnoncommutativefieldtheories
AT reysoojong anatomyoftwoloopeffectiveactioninnoncommutativefieldtheories
AT satoharutada anatomyoftwoloopeffectiveactioninnoncommutativefieldtheories

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