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4 papers · 1 filter
Field Redefinition Invariance in Quantum Field Theory
Karyn M. Apfeldorf, Horacio E. Camblong, Carlos R. Ordonez
The issue of field redefinition invariance of path integrals in quantum field theory is reexamined. A ``paradox'' is presented involving the reduction to an effective quantum-mecha…
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics. II: Rotational Invariance
Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti +1
A thorough analysis is presented of the class of central fields of force that exhibit: (i) dimensional transmutation and (ii) rotational invariance. Using dimensional regularizatio…
Dimensional Transmutation and Dimensional Regularization in Quantum Mechanics. I. General Theory
Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti +1
This is the first in a series of papers addressing the phenomenon of dimensional transmutation in nonrelativistic quantum mechanics within the framework of dimensional regularizati…
Renormalization of the Inverse Square Potential
Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti +1
The quantum-mechanical D-dimensional inverse square potential is analyzed using field-theoretic renormalization techniques. A solution is presented for both the bound-state and sca…