Conformal symmetry in nonlocal fieldtheories 

Mohammad Rajabpour 
rajabpour AT sissa DOT it 
SISSA Trieste 

le Monday 21 March 2011 à 16h00 
Salle de séminaire du groupe de Physique Statistique 


Nonlocal fieldtheories, as a method to describe the scaling limit of longrange interacting systems, are wellknown for many years and they are much studied in statistical physics. The longrange spin systems and rough surfaces are just two examples from many that could be included. We show for a particular nonlocal free fieldtheory that it has conformal symmetry in arbitrary dimensions. Using the local field theory counterparts of these fieldtheories we find the Noether currents and the Ward identities of the translation, rotation and scale symmetries. The operator product expansion of the introduced energymomentum tensor with quasiprimary fields is also investigated. We shall have a close look to the rough surfeces as a physical example for our model. 
