Gluon propagator close to criticality

Axel Maas, Jan M. Pawlowski, Lorenz von Smekal, and Daniel Spielmann
Phys. Rev. D 85, 034037 – Published 22 February 2012

Abstract

There are good reasons that the deconfinement phase transition of pure Yang-Mills theory at finite temperature should also be reflected in the behavior of gauge-fixed gluonic correlation functions. Understanding this in detail would provide another important example of how physical information can be extracted from gauge-dependent correlations, which is not always obvious. Therefore, herein we study the behavior of the Landau-gauge gluon propagator of pure SU(2) across the phase transition in 2+1 and 3+1 dimensions in order to assess to what extend the corresponding critical behavior is reflected in these correlations. We discuss why it should emerge from a continuum perspective and test our expectations in lattice simulations. A comparison with SU(3) furthermore reveals quite clear indications for a sensitivity of the gluon propagator to the order of the transition.

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  • Received 3 November 2011

DOI:https://doi.org/10.1103/PhysRevD.85.034037

© 2012 American Physical Society

Authors & Affiliations

Axel Maas1,*, Jan M. Pawlowski2,3,†, Lorenz von Smekal4,‡, and Daniel Spielmann2,3,§

  • 1Theoretical-Physical Institute, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, D-07743 Jena, Germany
  • 2Institute for Theoretical Physics, University of Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany
  • 3ExtreMe Matter Institute, GSI, Planckstr. 1, D-64291 Darmstadt, Germany
  • 4Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstr. 2, D-64289 Darmstadt, Germany

  • *axelmaas@web.de
  • j.pawlowski@thphys.uni-heidelberg.de
  • lorenz.smekal@physik.tu-darmstadt.de
  • §d.spielmann@thphys.uni-heidelberg.de

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Issue

Vol. 85, Iss. 3 — 1 February 2012

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