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Phys. Rev. D 59, 034015 (1999) [12 pages]

Instantons and the QCD vacuum wave functional

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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

Received 5 August 1998; published 8 January 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.034015
DOI:
10.1103/PhysRevD.59.034015
PACS:
12.38.Lg, 11.15.Tk

*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

 
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