UV-IR Mixing in Non-Commutative Plane
A. P. Balachandran, A. Pinzul, B. Qureshi
Abstract
Poincaré-invariant quantum field theories can be formulated on non-commutative planes if the coproduct on the Poincaré group is suitably deformed Dimitrijevic:2004rf, Chaichian:2004za.(See also especially Oeckl Oeckl:1999jun,Oeckl:2000mar and Grosse et al.Grosse:2001mar) As shown in Balachandran:2005eb, this important result of these authors implies modification of free field commutation and anti-commutation relations and striking phenomenological consequences such as violations of Pauli principle Balachandran:2005eb,Bal3. In this paper we prove that with these modifications, UV-IR mixing disappears to all orders in perturbation theory from the S-Matrix. This result is in agreement with the previous results of Oeckl Oeckl:2000mar.
Create a lesson
Related papers
Environmental Effects in Post-Minkowskian Dynamics: Effective Field Theory, Feynman Rules, and Ward Identities for Compact Objects in Relativistic Fluids
Zvi Bern, Samuel Degen, Enrico Herrmann et al.
Toward a Unique Filter for the Gravitational Path Integral
Marc S. Klinger
Young Gerard storming high energy physics
John Iliopoulos
Exploring multi-parameter optimization in FRG
A. Codello, G. P. Vacca, D. Zarrilli
New Bethe vacua for N=2 elliptic models
Antonio Amariti, Pietro Glorioso, Chiara Mascherpa et al.
Holographic correlators with non-supersymmetric multi-particle states
Michele Giorgi, Stefano Giusto