Removing Tadpoles in a Soliton Sector

Abstract

It has long been known that perturbative calculations can be performed in a soliton sector of a quantum field theory by using a soliton Hamiltonian, which is constructed from the defining Hamiltonian by shifting the field by the classical soliton solution. It is also known that even if tadpoles are eliminated in the vacuum sector, they remain in the soliton sector. In this note we show, in the case of quantum kinks at two loops, that the soliton sector tadpoles may be removed by adding certain quantum corrections to the classical solution used in this construction. Stated differently, the renormalization condition that the soliton sector tadpoles vanish may be satisfied by renormalizing the soliton solution.

11+7 pages, no figures, v2: typo in (3.17) fixed

References in corpus (9)

• Spectral Walls in Soliton Collisions
• Could the primordial radiation be responsible for vanishing of topological defects?
• Spectral walls in multifield kink dynamics
• Normal Ordering Normal Modes
• The Forced Soliton Equation and Semiclassical Soliton Form Factors
• Excited Kinks as Quantum States
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Cited by in corpus (1)

• Kink Form Factors