Bonn 2001 – wissenschaftliches Programm
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MP: Theoretische und Mathematische Grundlagen der Physik
MP 1: Quantum Field Theory
MP 1.1: Vortrag
Montag, 26. März 2001, 14:00–14:30, HS VIII
Soliton Stabilization from Quantum Fluctuations† — •H. Weigel3,1, E. Farhi1, N. Graham1,2, and R. L. Jaffe1 — 1MIT Cambridge, MA, USA — 2UCLA Los Angeles, CA, USA — 3Institute for Theoretical Physics, Tübingen University, D-72076 Tübingen
For renormalizable models a method is proposed to unambiguously compute the energy that is carried by localized field configurations (solitons). The corresponding Casimir energy is rendered finite by appropriately subtracting Born approximants from the phase shifts for the fluctuations off the soliton. These Born approximants are then added back into the total energy as Feynman diagrams. The Feynman diagrams and the Born approximants to the Casimir energy are both divergent objects and their identity is indicated in dimensional regularization [1,2]. The divergences in the Feynman diagrams are canceled by counterterms that are determined from renormalization conditions in the trivial sector [1,2]. Finally a variational approach for the total energy is imposed to search for soliton configurations. Various applications in D=1+1 and D=3+1 dimensions of the proposed method are presented [1]. A convenient approach to compute fractional charges from phase shifts that utilizes Levinson’s theorem is suggested and tested in various models [2].
[1] E. Farhi, N. Graham, R. L. Jaffe, H. Weigel, Phys. Lett. B475, 335 (2000), Nucl. Phys. B585, 443 (2000).
[2] E. Farhi, N. Graham, R. L. Jaffe, H. Weigel, Nucl. Phys. B595, 536 (2001). †Work supported in part by DFG under contract number We 1254/3-1.