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Operator-Product Expansions and Anomalous Dimensions in the Thirring Model
Author(s) -
Kenneth G. Wilson
Publication year - 1970
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields
Language(s) - English
Resource type - Journals
eISSN - 1089-4918
pISSN - 0556-2821
DOI - 10.1103/physrevd.2.1473
Subject(s) - physics , thirring model , lambda , product (mathematics) , mathematical physics , dimension (graph theory) , operator (biology) , coupling (piping) , particle physics , fermion , quantum mechanics , combinatorics , mathematics , mechanical engineering , biochemistry , chemistry , geometry , repressor , transcription factor , engineering , gene
An example of an operator product expansion is worked out for the . Thirring model D The Thirring model involves a two-dimensional zero mass Dirac field $ interacting via the Fermi interaction. The model is scale invariant but the dimensions of local fields in the model vary with the coupling constant A p It is shown that ti has dimension l/2 + h2/4*2 (1h2/41r2)-l, while the composite fields F$ and $ y5ti, appropriately defined, have the dimension (1A/2 n) (l+ h/27r)-l. (Submitted to Phys. Rev.) ,,*Work supported by the U. S. Atomic Energy Commission. Permanent address (after September, 1970).

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