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  A covariant representation of the Ball-Chiu vertex

Ahmadiniaz, N., & Schubert, C. (2013). A covariant representation of the Ball-Chiu vertex. Nuclear Physics B, 869(3), 417-439. doi:10.1016/j.nuclphysb.2012.12.019.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-0D31-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-3DCC-D
Genre: Journal Article

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1210.2331 (Preprint), 423KB
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 Creators:
Ahmadiniaz, Naser, Author
Schubert, Christian1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24014              

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Free keywords: High Energy Physics - Phenomenology, hep-ph,High Energy Physics - Theory, hep-th
 Abstract: In nonabelian gauge theory the three-gluon vertex function contains important structural information, in particular on infrared divergences, and is also an essential ingredient in the Schwinger-Dyson equations. Much effort has gone into analyzing its general structure, and at the one-loop level also a number of explicit computations have been done, using various approaches. Here we use the string-inspired formalism to unify the calculations of the scalar, spinor and gluon loop contributions to the one-loop vertex, leading to an extremely compact representation in all cases. The vertex is computed fully off-shell and in dimensionally continued form, so that it can be used as a building block for higher-loop calculations. We find that the Bern-Kosower loop replacement rules, originally derived for the on-shell case, hold off-shell as well. We explain the relation of the structure of this representation to the low-energy effective action, and establish the precise connection with the standard Ball-Chiu decomposition of the vertex. This allows us also to predict that the vanishing of the completely antisymmetric coefficient function S of this decomposition is not a one-loop accident, but persists at higher loop orders. The sum rule found by Binger and Brodsky, which leads to the vanishing of the one-loop vertex in N=4 SYM theory, in the present approach relates to worldline supersymmetry.

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 Dates: 2012-10-082013
 Publication Status: Published in print
 Pages: 32 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1210.2331
URI: http://arxiv.org/abs/1210.2331
DOI: 10.1016/j.nuclphysb.2012.12.019
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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 869 (3) Sequence Number: - Start / End Page: 417 - 439 Identifier: ISSN: 0550-3213
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925564667