# Quantum Yang-Mills field theory

@article{Frasca2017QuantumYF, title={Quantum Yang-Mills field theory}, author={Marco Frasca}, journal={The European Physical Journal Plus}, year={2017}, volume={132}, pages={1-11} }

Abstract.We show that the Dyson-Schwinger set of equations for the Yang-Mills theory can be exactly solved till the two-point function. This is obtained given a set of nonlinear waves solving the classical equations of motion. Translation invariance is maintained by the proper choice of the solution of the equation for the two-point function as devised by Coleman. The computation of the Dyson-Schwinger equations is performed in the same way as devised by Bender, Milton and Savage providing a…

## 19 Citations

Differential Dyson–Schwinger equations for quantum chromodynamics

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Using a technique devised by Bender, Milton and Savage, we derive the Dyson–Schwinger equations for quantum chromodynamics in differential form. We stop our analysis to the two-point functions. The…

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We show that, starting from known exact classical solutions of the Yang–Mills theory in three dimensions, the string tension is obtained and the potential is consistent with a marginally confining…

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As an extension of the weak perturbation theory obtained in recent analysis on infinite-derivative non-local non-Abelian gauge theories motivated from p-adic string field theory, and postulated as…

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We consider the unitary Abelian Higgs model and investigate its spectral functions at one-loop order. This analysis allows to disentangle what is physical and what is not at the level of the…

The BRST-invariant vacuum state of the Gribov–Zwanziger theory

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We revisit the effective action of the Gribov-Zwanziger theory, taking into due account the BRST symmetry and renormalization (group invariance) of the construction. We compute at one loop the…

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We derive the critical temperature in a nonlocal Nambu–Jona-Lasinio model with the presence of a chiral chemical potential. The model we consider uses a form factor derived from recent studies of the…

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We derive the low-energy limit of quantum chromodynamics (QCD) and show that in the ’t Hooft limit, i.e. for a very large number of colors and increasing ’t Hooft coupling, quark confinement is…

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