Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-14
Int.J.Mod.Phys. A10 (1995) 2819-2839
Physics
High Energy Physics
High Energy Physics - Theory
15pp., REVTeX, UB-ECM-PF 94/10
Scientific paper
Based only on simple principles of renormalization in coordinate space, we derive closed renormalized amplitudes and renormalization group constants at 1- and 2-loop orders for scalar field theories in general backgrounds. This is achieved through a generic renormalization procedure we develop exploiting the central idea behind differential renormalization, which needs as only inputs the propagator and the appropriate laplacian for the backgrounds in question. We work out this generic coordinate space renormalization in some detail, and subsequently back it up with specific calculations for scalar theories both on curved backgrounds, manifestly preserving diffeomorphism invariance, and at finite temperature.
Comellas Jordi
Haagensen Peter E.
Latorre Jose Ignacio
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