Instantons and the QCD vacuum wave functional

William E. Brown, Juan P. Garrahan, Ian I. Kogan, and Alex Kovner
Phys. Rev. D 59, 034015 – Published 8 January 1999
PDFExport Citation

Abstract

We analyze the instanton transitions in the framework of the gauge invariant variational calculation in the pure Yang-Mills theory. Instantons are identified with the saddle points in the integration over the gauge group which projects the Gaussian wave functional onto the gauge invariant physical Hilbert space. We show that the dynamical mass present in the best variational state provides an infrared cutoff for the instanton sizes. The instantons of the size ρ<1/M are suppressed and the large size instanton problem arising in the standard WKB calculation is completely avoided in the present variational framework.

  • Received 5 August 1998

DOI:https://doi.org/10.1103/PhysRevD.59.034015

©1999 American Physical Society

Authors & Affiliations

William E. Brown*, Juan P. Garrahan, Ian I. Kogan, and Alex Kovner§

  • Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom

  • *Present address: Theoretical Physics, The Rockefeller University, 1230 York Avenue, New York, New York 10021. Email address: w.brown1@physics.ox.ac.uk
  • On leave from Departamento de Física, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina. Email address: j.garrahan1@physics.ox.ac.uk
  • On leave from ITEP, B. Cheremyshkinskaya 25, Moscow, 117259, Russia. Email address: i.kogan1@physics.ox.ac.uk
  • §Email address: a.kovner1@physics.ox.ac.uk

References (Subscription Required)

Click to Expand
Issue

Vol. 59, Iss. 3 — 1 February 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×