Convergence theorem for non-commutative Feynman graphs and renormalization

Iouri Chepelev; Radu Roiban

doi:10.1088/1126-6708/2001/03/001

Convergence theorem for non-commutative Feynman graphs and renormalization

Iouri Chepelev, Radu Roiban

Research output: Contribution to journal › Article › peer-review

78 Scopus citations

Abstract

We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive euclidean quantum field theories on non-commutative ℝ^d (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.

Original language	English (US)
Pages (from-to)	XI-71
Journal	Journal of High Energy Physics
Volume	5
Issue number	3
DOIs	https://doi.org/10.1088/1126-6708/2001/03/001
State	Published - 2001

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1088/1126-6708/2001/03/001

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title = "Convergence theorem for non-commutative Feynman graphs and renormalization",

abstract = "We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive euclidean quantum field theories on non-commutative ℝd (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.",

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AU - Roiban, Radu

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AB - We present a rigorous proof of the convergence theorem for the Feynman graphs in arbitrary massive euclidean quantum field theories on non-commutative ℝd (NQFT). We give a detailed classification of divergent graphs in some massive NQFT and demonstrate the renormalizability of some of these theories.

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

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Convergence theorem for non-commutative Feynman graphs and renormalization

Abstract

All Science Journal Classification (ASJC) codes

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