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Variational methods in the master field formulation for QCD3+1

  • Gauge Theories I
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Gauge Theory and Gravitation

Part of the book series: Lecture Notes in Physics ((LNP,volume 176))

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Abstract

Master fields are formulated for finite N-QCD3+1. They satisfy classical Yang-Mills equations with an infinite number of internal indices and an infinite number of constraints. Master fields and constraints on them in the large N limit are derived from the finite N master fields and constraints using vacuum dominance among color singlet states. The large N constraints can be explicitly solved and the solutions involve arbitrary functions which are used as trial functions in variational calculations.

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References

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Keiji Kikkawa Noboru Nakanishi Hidekazu Nariai

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© 1983 Springer-Verlag

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Sato, Ma. (1983). Variational methods in the master field formulation for QCD3+1 . In: Kikkawa, K., Nakanishi, N., Nariai, H. (eds) Gauge Theory and Gravitation. Lecture Notes in Physics, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11994-9_11

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  • DOI: https://doi.org/10.1007/3-540-11994-9_11

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11994-4

  • Online ISBN: 978-3-540-39470-9

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