SO(2,1) conformal anomaly: Beyond contact interactions | Zendy

Gino N. J. Añaños | Zendy; Horacio E. Camblong | Zendy; Carlos Ordóñez | Zendy

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SO(2,1) conformal anomaly: Beyond contact interactions

Author(s) -

Gino N. J. Añaños,

Horacio E. Camblong,

Carlos Ordóñez

Publication year - 2003

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.68.025006

Subject(s) - conformal anomaly , conformal symmetry , anomaly (physics) , conformal map , physics , theoretical physics , commutator , renormalization , chiral anomaly , mathematical physics , mathematics , quantum mechanics , geometry , lie conformal algebra , lie algebra , fermion

The existence of anomalous symmetry-breaking solutions of the SO(2,1)commutator algebra is explicitly extended beyond the case of scale-invariantcontact interactions. In particular, the failure of the conservation laws ofthe dilation and special conformal charges is displayed for the two-dimensionalinverse square potential. As a consequence, this anomaly appears to be ageneric feature of conformal quantum mechanics and not merely an artifact ofcontact interactions. Moreover, a renormalization procedure traces theemergence of this conformal anomaly to the ultraviolet sector of the theory,within which lies the apparent singularity.Comment: 11 pages. A few typos corrected in the final versio

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