Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background
Abstract I discuss the 2-flavor Schwinger model with θ = 0 and small equal and opposite fermion masses (or θ = π with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the co...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2022)119 |
| _version_ | 1811336372745666560 |
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| author | Howard Georgi |
| author_facet | Howard Georgi |
| author_sort | Howard Georgi |
| collection | DOAJ |
| description | Abstract I discuss the 2-flavor Schwinger model with θ = 0 and small equal and opposite fermion masses (or θ = π with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the conformal symmetry. I show in detail how mass-perturbation-theory works for correlators of flavor-diagonal fermion scalar bilinears. The result provides quantitative evidence that the theory has no mass gap for small non-zero fermion masses. The massive fermions are bound into conformally invariant unparticle stuff. I show how the long-distance conformal symmetry is maintained when small fermion masses are turned on and calculate the relevant scaling dimensions for small mass. I calculate the corrections to the 2- and 4-point functions of the fermion-bilinear scalars to leading order in perturbation theory in the fermion mass and describe a straightforward procedure to extend the calculation to all higher scalar correlators. I hope that this model is a useful and non-trivial example of unparticle physics, a sector with unbroken conformal symmetry coupled to interacting massive particles, in which we can analyze the particle physics in a consistent approximation. |
| first_indexed | 2024-04-13T17:38:30Z |
| format | Article |
| id | doaj.art-1a1180b7027a4b23b4f4e3dab70e5ce7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T17:38:30Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1a1180b7027a4b23b4f4e3dab70e5ce72022-12-22T02:37:17ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221011810.1007/JHEP10(2022)119Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the backgroundHoward Georgi0Center for the Fundamental Laws of Nature, Jefferson Physical Laboratory, Harvard UniversityAbstract I discuss the 2-flavor Schwinger model with θ = 0 and small equal and opposite fermion masses (or θ = π with equal masses). The massless model has an unparticle sector with unbroken conformal symmetry. I argue that this special mass term modifies the conformal sector without breaking the conformal symmetry. I show in detail how mass-perturbation-theory works for correlators of flavor-diagonal fermion scalar bilinears. The result provides quantitative evidence that the theory has no mass gap for small non-zero fermion masses. The massive fermions are bound into conformally invariant unparticle stuff. I show how the long-distance conformal symmetry is maintained when small fermion masses are turned on and calculate the relevant scaling dimensions for small mass. I calculate the corrections to the 2- and 4-point functions of the fermion-bilinear scalars to leading order in perturbation theory in the fermion mass and describe a straightforward procedure to extend the calculation to all higher scalar correlators. I hope that this model is a useful and non-trivial example of unparticle physics, a sector with unbroken conformal symmetry coupled to interacting massive particles, in which we can analyze the particle physics in a consistent approximation.https://doi.org/10.1007/JHEP10(2022)119Field Theories in Lower DimensionsScale and Conformal SymmetriesIntegrable Field Theories |
| spellingShingle | Howard Georgi Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background Journal of High Energy Physics Field Theories in Lower Dimensions Scale and Conformal Symmetries Integrable Field Theories |
| title | Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background |
| title_full | Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background |
| title_fullStr | Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background |
| title_full_unstemmed | Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background |
| title_short | Mass perturbation theory in the 2-flavor Schwinger model with opposite masses with a review of the background |
| title_sort | mass perturbation theory in the 2 flavor schwinger model with opposite masses with a review of the background |
| topic | Field Theories in Lower Dimensions Scale and Conformal Symmetries Integrable Field Theories |
| url | https://doi.org/10.1007/JHEP10(2022)119 |
| work_keys_str_mv | AT howardgeorgi massperturbationtheoryinthe2flavorschwingermodelwithoppositemasseswithareviewofthebackground |