The Ground State of the Sine-Gordon Soliton

Abstract

At one loop, we provide an explicit formula for the ground state of the one-soliton sector in the Sine-Gordon theory. The state is given in the basis of eigenstates of the field operator, or equivalently as a Schrodinger wave functional. The formula readily generalizes to other solitons in other models and as an example we also provide the ground state of the kink in the (1+1)-dimensional ${\varphi }^4$ double well.

9 pages, no figures

References in corpus (2)

• Manifestly Finite Derivation of the Quantum Kink Mass
• Finite Derivation of the One-Loop Sine-Gordon Soliton Mass

Cited by in corpus (5)

• Normal Ordering Normal Modes
• Accelerating Solitons
• Moving Kinks and Their Wave Packets
• Gravitating kinks with asymptotically flat metrics
• Constructing Quantum Soliton States Despite Zero Modes