Influence of quark boundary conditions on the pion mass in finite volume

(2) GSI Darmstadt; 3) ((1) Institute for Theoretical Physics; (3) Max-Planck-Institut fuer Kernphysik; B. Klein (2); Heidelberg); H.J. Pirner (1; J. Braun (1); University of Heidelberg

Influence of quark boundary conditions on the pion mass in finite volume

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arxiv hep-ph/0504127 v2 pith:OU5I2EPE submitted 2005-04-15 hep-ph

J. Braun (1) , B. Klein (2) , H.J. Pirner (1 , 3) ((1) Institute for Theoretical Physics , University of Heidelberg , (2) GSI Darmstadt , (3) Max-Planck-Institut fuer Kernphysik , Heidelberg) This is my paper · ORCID

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keywords pionmassfinitequarkshifttheoryvolumeboundary

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We calculate the mass shift for the pion in a finite volume with renormalization group (RG) methods in the framework of the quark-mesons model. In particular, we investigate the importance of the quark effects on the pion mass. As in lattice gauge theory, the choice of quark boundary conditions has a noticeable effect on the pion mass shift in small volumes, in addition to the shift due to pion interactions. We compare our results to chiral perturbation theory calculations and find differences due to the fact that chiral perturbation theory only considers pion effects in the finite volume.

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