Covariant variational approach to Yang-Mills theory

M. Quandt, H. Reinhardt, and J. Heffner

Phys. Rev. D 89, 065037 – Published 26 March 2014

Abstract

We investigate the low-order Green’s functions of $S U (N)$ Yang-Mills theory in Landau gauge, using a covariant variational principle based on the effective action formalism. Employing an approximation to the Faddeev-Popov determinant established previously in the Hamiltonian approach in Coulomb gauge leads to a closed set of integral equations for the ghost and gluon propagator. We carry out the renormalization and the infrared analysis of this system of equations. Finally, we solve the renormalized system numerically and compare with lattice results and other functional approaches.

Received 4 November 2013

DOI:https://doi.org/10.1103/PhysRevD.89.065037

Authors & Affiliations

M. Quandt^*, H. Reinhardt^†, and J. Heffner^‡

Universität Tübingen, Institut für Theoretische Physik, Auf der Morgenstelle 14 D-72076 Tübingen, Germany

^*markus.quandt@uni-tuebingen.de
^†hugo.reinhardt@uni-tuebingen.de
^‡jan.heffner@uni-tuebingen.de

Covariant variational approach to Yang-Mills theory at finite temperatures

M. Quandt and H. Reinhardt

Phys. Rev. D 92, 025051 (2015)

Covariant variational approach to Yang-Mills theory: Effective potential of the Polyakov loop

M. Quandt and H. Reinhardt

Phys. Rev. D 94, 065015 (2016)

Covariant variational approach to Yang-Mills theory: Thermodynamics

M. Quandt and H. Reinhardt

Phys. Rev. D 96, 054029 (2017)

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Vol. 89, Iss. 6 — 15 March 2014

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Physical Review D

covering particles, fields, gravitation, and cosmology