Chen, Jiunn-Wei and Walker-Loud, André and O'Connell, Donal (2009) Universality of mixed action extrapolation formulae. Journal of High Energy Physics, 2009 (4). 090. ISSN 1126-6708 http://resolver.caltech.edu/CaltechAUTHORS:20090729-092906934
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Mixed action theories with chirally symmetric valence fermions exhibit very desirable features both at the level of the lattice calculations as well as in the construction and implementation of the low energy mixed action effective field theory. In this work we show that when such a mixed action effective field theory is projected onto the valence sector, both the Lagrangian and the extrapolation formulae become universal in form through next to leading order, for all variants of discretization methods used for the sea fermions. Our conclusion relies on the chiral nature of the valence quarks. The result implies that for all sea quark methods which are in the same universality class as QCD, the numerical values of the physical coefficients in the various mixed action chiral Lagrangians will be the same up to lattice spacing dependent corrections. This allows us to construct a prescription to determine the mixed action extrapolation formulae for a large class of hadronic correlation functions computed in partially quenched chiral perturbation theory at the one-loop level. For specific examples, we apply this prescription to the nucleon twist-2 matrix elements and the nucleon-nucleon system. In addition, we determine the mixed action extrapolation formula for the neutron EDM as this provides a nice example of a Θ-dependent observable; these observables are exceptions to our prescription.
|Additional Information:||© SISSA 2009. Received 3 November 2008, accepted for publication 28 March 2009. Published 22 April 2009. We would like to acknowledge Fu-Jiun Jiang, Kostas Orginos, Gautam Rupak, Steve Sharpe and Brian Tiburzi for useful correspondence and conversations. AWL would like to acknowledge the hospitality of the Department of Physics and Center for Theoretical Sciences at the National Taiwan University where the idea for this research was born out. JWC is supported by the National Science Council of R.O.C.. DOC is supported in part by the U.S. DOE under the grant DE-FG03-9ER40701. AWL is supported under the U.S. DOE grant DE-FG02-93ER-40762.|
|Subject Keywords:||Lattice QCD; Chiral Lagrangians|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||07 Aug 2009 21:31|
|Last Modified:||26 Dec 2012 11:06|
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