Masses, Decay Constants and Electromagnetic Form-factors with Twisted Boundary Conditions
| Autor: | Bijnens, Johan, Relefors, Johan |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP05(2014)015 |
| Popis: | 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. Comment: 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 |
| Databáze: | arXiv |
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