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On-shell Improved Lattice Gauge Theories

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Quantum Field Theory

Abstract

By means of a spectrum conserving transformation, we show that one of the 3 coefficients in Symanzik’s improved action can be chosen freely, if only spectral quantities (masses of stable particles, heavy quark potential etc.) are to be improved. In perturbation theory, the other 2 coefficients are however completely determined and their values are obtained to lowest order.

Heisenberg foundation fellow

By abuse of notation, we use the word “operator” for any Euclidean (ℂ-number) field, which can be composed from the fundamental gauge field

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References

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© 1985 Springer-Verlag Berlin, Heidelberg

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Lüscher, M., Weisz, P. (1985). On-shell Improved Lattice Gauge Theories. In: Jaffe, A., Lehmann, H., Mack, G. (eds) Quantum Field Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-70307-2_4

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  • DOI: https://doi.org/10.1007/978-3-642-70307-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15260-6

  • Online ISBN: 978-3-642-70307-2

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