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- W2049274675 abstract "We examine solitons in theories with heavy fermions. These quantum solitons differ dramatically from semiclassical (perturbative) solitons because fermion loop effects are important when the Yukawa coupling is strong. We focus on kinks in a (1 + 1)-dimensional ${ensuremath{varphi}}^{4}$ theory coupled to fermions; a large-$N$ expansion is employed to treat the Yukawa coupling g nonperturbatively. A local expression for the fermion vacuum energy is derived using the WKB approximation for the Dirac eigenvalues. We find that fermion loop corrections increase the energy of the kink and (for large $g$) decrease its size. For large $g$, the energy of the quantum kink is proportional to $g$, and its size scales as $frac{1}{g}$, unlike the classical kink; we argue that these features are generic to quantum solitons in theories with strong Yukawa couplings. We also discuss the possible instability of fermions to solitons." @default.
- W2049274675 created "2016-06-24" @default.
- W2049274675 creator A5032855356 @default.
- W2049274675 date "1992-12-15" @default.
- W2049274675 modified "2023-09-26" @default.
- W2049274675 title "Quantum kinks: Solitons at strong coupling" @default.
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- W2049274675 doi "https://doi.org/10.1103/physrevd.46.5487" @default.
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