Journal ArticleDOI
Quantization of non-Abelian gauge theories
TLDR
In this article, it was shown that the fixing of the divergence of the potential in non-Abelian theories does not fix its gauge and that the ambiguity in the definition of potential leads to the fact that, when integrating over the fields in the functional integral, it is apparently enough for us to restrict ourselves to the potentials for which the Faddeev-Popov determinants are positive.About:
This article is published in Nuclear Physics.The article was published on 1978-06-26. It has received 1405 citations till now. The article focuses on the topics: Gribov ambiguity & Gauge fixing.read more
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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.
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Gravitation, Gauge Theories and Differential Geometry
TL;DR: In this article, the Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois, USA Peter B. GILKEY Fine Hall, Box 37.
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Conformal Field Theory and 2D Quantum Gravity
Jacques Distler,Hikaru Kawai +1 more
TL;DR: In this article, the theory of 2D quantum gravity in the usual conformal gauge was solved and the critical exponents for all genera were obtained for the supersymmetric case.
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Dyson-Schwinger equations and their application to hadronic physics
TL;DR: In this article, the authors review the current status of nonperturbative studies of gauge field theory using the Dyson-Schwinger equation formalism and its application to hadronic physics.
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Topological field theory
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Journal ArticleDOI
Ultraviolet Behavior of Non-Abelian Gauge Theories
David J. Gross,Frank Wilczek +1 more
TL;DR: In this paper, it was shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior.
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Reliable Perturbative Results for Strong Interactions
TL;DR: In this article, the authors show that perturbation theory is arbitrarily good for the deep Euclidean Green's functions of any Yang-Mills theory and of many Yang Mills theories with fermions.
Journal ArticleDOI
Asymptotic Behavior of Non-Abelian Gauge Theories to Two-Loop Order
TL;DR: In this paper, the authors have calculated the value of the Callan-Symanzik β function to order g √ 5 for non-Abelian gauge theories with fermions.