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Pion and Vacuum Properties in the Nonlocal NJL Model

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Particle Physics in the New Millennium

Part of the book series: Lecture Notes in Physics ((LNP,volume 616))

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Abstract

We formulate the nonlocal NJL model with a momentum dependent constituent quark mass and calculate pion light cone wave functions of twist 2 and 3. The leading twist wave function is not asymptotic and agrees well with the new CLEO data. Normalization conditions for the twist 3 wave functions are used to calculate the quark condensate. A prescription to calculate the gluon condensate is proposed. The numerical value of the gluon condensate nicely agrees with the phenomenological value, whereas the quark condensate is larger than the phenomenological value of -(250 MeV)3. The relation between the k 2 T moments and mixed condensates are used to estimate the mixed quark-gluon condensate of dimension 5.

Talk given by M. Prasza7lowicz

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Author information

Authors and Affiliations

  1. M. Smoluchowski Institute of Physics, Jagellonian University, ul. Reymonta 4, 30-59, Kraków, Poland

    Michał Praszałowicz & Andrzej Rostworowski

Authors
  1. Michał Praszałowicz
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  2. Andrzej Rostworowski
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Editor information

Editors and Affiliations

  1. Theoretical Physics Division, Rudjer Boskovic Institute, P.O.Box 180, 10 002, Zagreb, Croatia

    Josip Trampetić

  2. Sektion Physik der Ludwig-Maximilians-Universität, Theresienstr.37, 80333, München

    Julius Wess

  3. Max-Plack-Institut für Physik, Föhringer Ring 6, 80805, München, Germany

    Julius Wess

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Praszałowicz, M., Rostworowski, A. (2003). Pion and Vacuum Properties in the Nonlocal NJL Model. In: Trampetić, J., Wess, J. (eds) Particle Physics in the New Millennium. Lecture Notes in Physics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36539-7_44

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  • DOI: https://doi.org/10.1007/3-540-36539-7_44

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00711-1

  • Online ISBN: 978-3-540-36539-6

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