Planar Dominance in Non-Commutative Field Theories at Infinite External Momentum(Particles and Fields)
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概要
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In the perturbative expansion of field theories on a non-commutative geometry, it is known that planar diagrams dominate when the non-commutativity parameter θ goes to infinity. We investigate whether this "planar dominance" occurs also in the case that θ is finite, but the external momentum goes to infinity instead. While this holds trivially at the one-loop level, it is not obvious at the two-loop level, in particular in the presence of UV divergences. We perform explicit two-loop calculations in the six-dimensional φ^3 theory and confirm that nonplanar diagrams after renormalization do vanish in this limit.
- 理論物理学刊行会の論文
- 2006-01-25
著者
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Nishimura Jun
Department Of Chemistry And Chemical Biology Graduate School Of Engineering Gunma University
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Nishimura Jun
Department Of Particle And Nuclear Physics The Graduate University For Advanced Studies (sokendai):h
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KONAGAYA Tadayuki
Department of Particle and Nuclear Physics, The Graduate University for Advanced Studies (Sokendai)
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Konagaya Tadayuki
Department Of Particle And Nuclear Physics The Graduate University For Advanced Studies (sokendai)
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NISHIMURA Jun
KEK Theory Center, High Energy Accelerator Research Organization:The Graduate University for Advanced Studies (SOKENDAI)
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NISHIMURA Jun
High Energy Accelerator Research Organization (KEK):Department of Particle and Nuclear Physics, Graduate University for Advanced Studies (SOKENDAI)
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