Publicación: RENORMALIZATION IN A LORENTZ-VIOLATING MODEL AND HIGHER-ORDER OPERATORS
Fecha
2018
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EUROPEAN PHYSICAL JOURNAL C
Resumen
THE RENORMALIZATION IN A LORENTZ-BREAKING SCALAR-SPINOR HIGHER-DERIVATIVE MODEL INVOLVING ?4 SELF-INTERACTION AND THE YUKAWA-LIKE COUPLING IS STUDIED. WE EXPLICITLY DE-MONSTRATE THAT THE CONVERGENCE IS IMPROVED IN COMPARISON WITH THE USUAL SCALAR-SPINOR MODEL, SO, THE THEORY IS SUPER-RENORMALIZABLE, WITH NO DIVERGENCES BEYOND FOUR LOOPS. WE COMPUTE THE ONE-LOOP CORRECTIONS TO THE PROPAGATORS FOR THE SCALAR AND FERMIONIC FIELDS AND SHOW THAT IN THE PRESENCE OF HIGHER-ORDER LORENTZ INVARIANCE VIOLATION, THE POLES THAT DOMINATE THE PHYSICAL THEORY, ARE DRIVEN AWAY FROM THE STANDARD ON-SHELL POLE MASS DUE TO RADIATIVELY INDUCED LOWER DIMENSIONAL OPERATORS. THE NEW OPERATORS CHANGE THE STANDARD GAMMA-MATRIX STRUCTURE OF THE TWO-POINT FUNCTIONS, INTRODUCE LARGE LORENTZ-BREAKING CORRECTIONS AND LEAD TO MODIFICATIONS IN THE RENORMALIZATION CONDITIONS OF THE THEORY. WE FOUND THE PHYSICAL POLE MASS IN EACH SECTOR OF OUR MODEL.
