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25 April 2024
 
  » arxiv » 1908.3279

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Non-perturbative Effects in Generalized Schwinger Models
Howard Georgi ; Brian Warner ;
Date 9 Aug 2019
AbstractWe analyze generalizations of the Schwinger model, with more massless fermions and more vector fields. These have conformal sectors that survive at long distances. We find that in addition to "unparticle operators" with non-zero anomalous dimensions, some of these models contain 0-dimension operators with calculable vacuum expectation values. Cluster decomposition applied to correlation functions involving these operators yields nontrivial and calculable nonperturbative constraints on unparticle operator correlation functions. One consequence of these constraints is "conformal coalescence" in which linear combinations of short distance operators can disappear from the long-distance theory.
Source arXiv, 1908.3279
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