Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions
Abstract
Using Chiral Perturbation Theory at one-loop we analyze the consequences of twisted boundary conditions. We point out that due to the broken Lorentz and reflection symmetry a number of unexpected terms show up in the expressions. We explicitly discuss the pseudo-scalar octet masses, axial-vector and pseudo-scalar decay constants and electromagnetic form-factors. We show how the Ward identities are satisfied using the momentum dependent masses and the non-zero vacuum-expectation-values values for the electromagnetic (vector) currents. Explicit expressions at one-loop are provided and an appendix discusses the needed one-loop twisted finite volume integrals.
Keywords
Cite
@article{arxiv.1402.1385,
title = {Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions},
author = {Johan Bijnens and Johan Relefors},
journal= {arXiv preprint arXiv:1402.1385},
year = {2015}
}
Comments
23 pages, Main changes: New references [6,16] with overlap in results and conclusions added, and a new section describing the interpretation of our results and the relation with earlier results in detail. Other changes: figures changed to be more readable and minor misprints corrected