Exact Renormalized One-Loop Quantum Corrections to Energies of Solitonic Field Configurations

Details Exact Renormalized One-Loop Quantum Corrections to Energies of Solitonic Field Configurations Exact Renormalized One-Loop Quantum Corrections to Energies of Solitonic Field Configurations

1999-12-31

arxiv.org/abs/hep-th/9912286v3

Physics

High Energy Physics

High Energy Physics - Theory

M.I.T. Ph.D thesis; 72 pages, uses mitthesis.sty; v2: fixed minor error in eq (B.22); v3: fixed minor error in eq. (4.57)

Scientific paper

We develop a method for computing exact one-loop quantum corrections to the energies of static classical backgrounds in renormalizable quantum field theories. We use a continuum density of states formalism to construct a regularized Casimir energy in terms of phase shifts and their Born approximations. This method unambiguously incorporates definite counterterms fixed in the standard way by physical renormalization conditions. The result is a robust computation that can be efficiently implemented both numerically and analytically. We carry out such calculations in models of bosons and fermions in one and three dimensions.

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