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Journal ArticleDOI

Renormalization of Path Ordered Phase Factors and Related Hadron Operators in Gauge Field Theories

Harald Dorn
- 01 Jan 1986 - 
- Vol. 34, Iss: 1, pp 11-56
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TLDR
In this article, a review of the renormalization and short distance properties of path ordered phase factors in nonabelian gauge field theories is given, including nonlocal gauge invariant meson, baryon and gluonium operators constructed with the help of such phase factors.
Citations
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On non-abelian generalisation of the Born-Infeld action in string theory

TL;DR: In this article, it was shown that the part of the tree-level open string effective action for the non-abelian vector field which depends on the field strength but not on its covariant derivatives is not defined unambiguously.

Renormalization of the Abelian Higgs-Kibble Model

TL;DR: In this paper, the perturbative renormalization of the abelian Higgs-Kibble model is studied within the class of renormalizable gauges which are odd under charge conjugation.
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Hexagon Wilson loop = six-gluon MHV amplitude

TL;DR: In this article, the authors compare the two-loop corrections to the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N = 4 SYM theory and demonstrate that they coincide within the error bars and differ from the BDS ansatz by a non-trivial function of conformal kinematical invariants.
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On the structure of infrared singularities of gauge-theory amplitudes

TL;DR: In this paper, a closed formula for the infrared singularities of dimensionally regularized, massless gauge-theory scattering amplitudes with an arbitrary number of legs and loops was obtained.
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Heavy quark effective theory beyond perturbation theory: renormalons, the pole mass and the residual mass term

TL;DR: In this article, the authors studied the perturbative series in the heavy quark effective theory (HQET) using the 1/Nƒ expansion and found that this theory suffers from an ultraviolet renormalon problem, corresponding to a non-Borel-summable behaviour of perturbation series in large orders.
References
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Journal ArticleDOI

Significance of Electromagnetic Potentials in the Quantum Theory

TL;DR: In this article, it was shown that there exist effects of potentials on charged particles, even in the region where all the fields (and therefore the forces on the particles) vanish.
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QCD and resonance physics. theoretical foundations

TL;DR: In this paper, a systematic study is made of the non-perturbative effects in quantum chromodynamics, where the basic object is the two-point functions of various currents and the terms of this series are shown to be of two distinct types.
Journal ArticleDOI

Renormalization of gauge theories

TL;DR: Gauge theories are characterized by the Slavnov identities which express their invariance under a family of transformations of the supergauge type which involve the Faddeev Popov ghosts as mentioned in this paper.
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Asymptotically Free Gauge Theories. I

TL;DR: In this paper, the renormalization-group equations are derived for Yang-Mills theories and the parameters that enter into the equations are calculated to lowest order and it is shown that these theories are asymptotically free.
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Concept of Nonintegrable Phase Factors and Global Formulation of Gauge Fields

TL;DR: In this paper, an intrinsic and complete description of electromagnetism in a space-time region is formulated in terms of a nonintegrable phase factor, and connections on principal fiber bundles are identified.
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